mirror of
https://github.com/f4exb/sdrangel.git
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1753 lines
53 KiB
C++
1753 lines
53 KiB
C++
/*---------------------------------------------------------------------------*\
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FILE........: ofdm.c
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AUTHORS.....: David Rowe & Steve Sampson
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DATE CREATED: June 2017
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A Library of functions that implement a QPSK OFDM modem, C port of
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the Octave functions in ofdm_lib.m
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\*---------------------------------------------------------------------------*/
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/*
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Copyright (C) 2017/2018 David Rowe
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All rights reserved.
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This program is free software; you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License version 2.1, as
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published by the Free Software Foundation. This program is
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distributed in the hope that it will be useful, but WITHOUT ANY
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WARRANTY; without even the implied warranty of MERCHANTABILITY or
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FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public
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License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with this program; if not, see <http://www.gnu.org/licenses/>.
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*/
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#include <stdio.h>
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#include <stdlib.h>
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#include <stdbool.h>
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#include <stdint.h>
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#include <string.h>
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#include <math.h>
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#include <assert.h>
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#include <complex.h>
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#include "codec2/comp.h"
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#include "ofdm_internal.h"
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#include "codec2_ofdm.h"
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#include "freedv_filter.h"
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namespace FreeDV
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{
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/* Static Prototypes */
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static std::complex<float> vector_sum(std::complex<float> *, int);
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static void dft(struct OFDM *, std::complex<float> *, std::complex<float> *);
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static void idft(struct OFDM *, std::complex<float> *, std::complex<float> *);
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static void ofdm_demod_core(struct OFDM *ofdm, int *rx_bits);
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static int ofdm_sync_search_core(struct OFDM *ofdm);
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/* Defines */
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#define max( a, b ) ( ((a) > (b)) ? (a) : (b) )
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#define min( a, b ) ( ((a) < (b)) ? (a) : (b) )
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/*
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* QPSK Quadrant bit-pair values - Gray Coded
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*/
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static const std::complex<float> constellation[] = {
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std::complex<float>{1.0f, 0.0f},
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std::complex<float>{0.0f, 1.0f},
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std::complex<float>{0.0f, - 1.0f},
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std::complex<float>{-1.0f, + 0.0f}
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};
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/*
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* These pilots are compatible with Octave version
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*/
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static const int8_t pilotvalues[] = {
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-1,-1, 1, 1,-1,-1,-1, 1,
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-1, 1,-1, 1, 1, 1, 1, 1,
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1, 1, 1,-1,-1, 1,-1, 1,
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-1, 1, 1, 1, 1, 1, 1, 1,
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1, 1, 1,-1, 1, 1, 1, 1,
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1,-1,-1,-1,-1,-1,-1, 1,
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-1, 1,-1, 1,-1,-1, 1,-1,
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1, 1, 1, 1,-1, 1,-1, 1
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};
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static std::complex<float> *tx_uw_syms;
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static int *uw_ind;
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static int *uw_ind_sym;
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/* static variables */
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static struct OFDM_CONFIG ofdm_config;
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static float ofdm_tx_centre; /* TX Center frequency */
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static float ofdm_rx_centre; /* RX Center frequency */
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static float ofdm_fs; /* Sample rate */
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static float ofdm_ts; /* Symbol cycle time */
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static float ofdm_rs; /* Symbol rate */
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static float ofdm_tcp; /* Cyclic prefix duration */
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static float ofdm_inv_m; /* 1/m */
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static float ofdm_tx_nlower; /* TX lowest carrier freq */
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static float ofdm_rx_nlower; /* RX lowest carrier freq */
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static float ofdm_doc; /* division of radian circle */
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static float ofdm_timing_mx_thresh; /* See 700D Part 4 Acquisition blog post and ofdm_dev.m routines for how this was set */
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static int ofdm_nc; /* NS-1 data symbols between pilots */
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static int ofdm_ns;
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static int ofdm_bps; /* Bits per symbol */
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static int ofdm_m; /* duration of each symbol in samples */
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static int ofdm_ncp; /* duration of CP in samples */
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static int ofdm_ftwindowwidth;
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static int ofdm_bitsperframe;
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static int ofdm_rowsperframe;
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static int ofdm_samplesperframe;
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static int ofdm_max_samplesperframe;
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static int ofdm_rxbuf;
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static int ofdm_ntxtbits; /* reserve bits/frame for auxillary text information */
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static int ofdm_nuwbits; /* Unique word, used for positive indication of lock */
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/* Functions -------------------------------------------------------------------*/
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static float cnormf(std::complex<float> val) {
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float realf = val.real();
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float imagf = val.imag();
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return realf * realf + imagf * imagf;
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}
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/* Gray coded QPSK modulation function */
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std::complex<float> qpsk_mod(int *bits) {
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return constellation[(bits[1] << 1) | bits[0]];
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}
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/* Gray coded QPSK demodulation function */
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void qpsk_demod(std::complex<float> symbol, int *bits) {
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std::complex<float> rotate = symbol * cmplx(ROT45);
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bits[0] = rotate.real() < 0.0f;
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bits[1] = rotate.imag() < 0.0f;
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}
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/*
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* ------------
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* ofdm_create
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* ------------
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*
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* Returns OFDM data structure on success
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* Return NULL on fail
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*
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* If you want the defaults, call this with config structure
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* and the NC setting to 0. This will fill the structure with
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* default values of the original OFDM modem.
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*/
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struct OFDM *ofdm_create(const struct OFDM_CONFIG *config) {
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struct OFDM *ofdm;
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float tval;
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int i, j;
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/* Check if called correctly */
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if (config == NULL) {
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return NULL;
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}
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if (config->nc == 0) {
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/* Fill in default values */
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ofdm_nc = 17; /* Number of carriers */
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ofdm_ns = 8; /* Number of Symbol frames */
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ofdm_bps = 2; /* Bits per Symbol */
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ofdm_ts = 0.018f;
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ofdm_tcp = .002f; /* Cyclic Prefix duration */
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ofdm_tx_centre = 1500.0f; /* TX Centre Audio Frequency */
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ofdm_rx_centre = 1500.0f; /* RX Centre Audio Frequency */
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ofdm_fs = 8000.0f; /* Sample Frequency */
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ofdm_ntxtbits = 4;
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ofdm_ftwindowwidth = 11;
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ofdm_timing_mx_thresh = 0.30f;
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} else {
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/* Use the users values */
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ofdm_nc = config->nc; /* Number of carriers */
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ofdm_ns = config->ns; /* Number of Symbol frames */
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ofdm_bps = config->bps; /* Bits per Symbol */
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ofdm_ts = config->ts;
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ofdm_tcp = config->tcp; /* Cyclic Prefix duration */
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ofdm_tx_centre = config->tx_centre; /* TX Centre Audio Frequency */
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ofdm_rx_centre = config->rx_centre; /* RX Centre Audio Frequency */
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ofdm_fs = config->fs; /* Sample Frequency */
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ofdm_ntxtbits = config->txtbits;
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ofdm_ftwindowwidth = config->ftwindowwidth;
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ofdm_timing_mx_thresh = config->ofdm_timing_mx_thresh;
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}
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ofdm_rs = (1.0f / ofdm_ts); /* Modulation Symbol Rate */
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ofdm_m = (int) (ofdm_fs / ofdm_rs); /* 144 */
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ofdm_ncp = (int) (ofdm_tcp * ofdm_fs); /* 16 */
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ofdm_inv_m = (1.0f / (float) ofdm_m);
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/* Copy structure into global */
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ofdm_config.tx_centre = ofdm_tx_centre;
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ofdm_config.rx_centre = ofdm_rx_centre;
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ofdm_config.fs = ofdm_fs;
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ofdm_config.rs = ofdm_rs;
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ofdm_config.ts = ofdm_ts;
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ofdm_config.tcp = ofdm_tcp;
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ofdm_config.ofdm_timing_mx_thresh = ofdm_timing_mx_thresh;
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ofdm_config.nc = ofdm_nc;
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ofdm_config.ns = ofdm_ns;
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ofdm_config.bps = ofdm_bps;
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ofdm_config.txtbits = ofdm_ntxtbits;
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ofdm_config.ftwindowwidth = ofdm_ftwindowwidth;
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/* Calculate sizes from config param */
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ofdm_bitsperframe = (ofdm_ns - 1) * (ofdm_nc * ofdm_bps);
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ofdm_rowsperframe = ofdm_bitsperframe / (ofdm_nc * ofdm_bps);
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ofdm_samplesperframe = ofdm_ns * (ofdm_m + ofdm_ncp);
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ofdm_max_samplesperframe = ofdm_samplesperframe + (ofdm_m + ofdm_ncp) / 4;
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ofdm_rxbuf = 3 * ofdm_samplesperframe + 3 * (ofdm_m + ofdm_ncp);
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ofdm_nuwbits = (ofdm_ns - 1) * ofdm_bps - ofdm_ntxtbits; // 10
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/* Were ready to start filling in the OFDM structure now */
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if ((ofdm = (struct OFDM *) malloc(sizeof (struct OFDM))) == NULL) {
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return NULL;
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}
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ofdm->pilot_samples = (std::complex<float>*) malloc(sizeof (std::complex<float>) * (ofdm_m + ofdm_ncp));
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ofdm->rxbuf = (std::complex<float>*) malloc(sizeof (std::complex<float>) * ofdm_rxbuf);
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ofdm->pilots = (std::complex<float>*) malloc(sizeof (std::complex<float>) * (ofdm_nc + 2));
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/*
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* rx_sym is a 2D array of variable size
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*
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* allocate rx_sym row storage. It is a pointer to a pointer
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*/
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ofdm->rx_sym = (std::complex<float>**) malloc(sizeof (std::complex<float>) * (ofdm_ns + 3));
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/* allocate rx_sym column storage */
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int free_last_rx_sym = 0;
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for (i = 0; i < (ofdm_ns + 3); i++)
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{
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ofdm->rx_sym[i] = (std::complex<float> *) malloc(sizeof(std::complex<float>) * (ofdm_nc + 2));
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if (ofdm->rx_sym[i] == NULL) {
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free_last_rx_sym = i;
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}
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free_last_rx_sym = (ofdm_ns + 3);
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}
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/* The rest of these are 1D arrays of variable size */
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ofdm->rx_np = (std::complex<float>*) malloc(sizeof (std::complex<float>) * (ofdm_rowsperframe * ofdm_nc));
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ofdm->rx_amp = (float*) malloc(sizeof (float) * (ofdm_rowsperframe * ofdm_nc));
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ofdm->aphase_est_pilot_log = (float*) malloc(sizeof (float) * (ofdm_rowsperframe * ofdm_nc));
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ofdm->tx_uw = (uint8_t*) malloc(sizeof (uint8_t) * ofdm_nuwbits);
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for (i = 0; i < ofdm_nuwbits; i++) {
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ofdm->tx_uw[i] = 0;
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}
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/* Null pointers to unallocated buffers */
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ofdm->ofdm_tx_bpf = NULL;
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/* store complex BPSK pilot symbols */
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assert(sizeof (pilotvalues) >= (ofdm_nc + 2) * sizeof (int8_t));
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/* There are only 64 pilot values available */
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for (i = 0; i < (ofdm_nc + 2); i++)
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{
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ofdm->pilots[i].real((float) pilotvalues[i]);
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ofdm->pilots[i].imag(0.0f);
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}
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/* carrier tables for up and down conversion */
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ofdm_doc = (TAU / (ofdm_fs / ofdm_rs));
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tval = ofdm_rs * ((float) ofdm_nc / 2);
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ofdm_tx_nlower = floorf((ofdm_tx_centre - tval) / ofdm_rs);
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ofdm_rx_nlower = floorf((ofdm_rx_centre - tval) / ofdm_rs);
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for (i = 0; i < ofdm_rxbuf; i++) {
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ofdm->rxbuf[i] = 0.0f;
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}
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for (i = 0; i < (ofdm_ns + 3); i++) {
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for (j = 0; j < (ofdm_nc + 2); j++) {
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ofdm->rx_sym[i][j] = 0.0f;
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}
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}
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for (i = 0; i < ofdm_rowsperframe * ofdm_nc; i++) {
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ofdm->rx_np[i] = 0.0f;
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}
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for (i = 0; i < ofdm_rowsperframe; i++) {
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for (j = 0; j < ofdm_nc; j++) {
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ofdm->aphase_est_pilot_log[ofdm_nc * i + j] = 0.0f;
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ofdm->rx_amp[ofdm_nc * i + j] = 0.0f;
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}
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}
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/* default settings of options and states */
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ofdm->verbose = 0;
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ofdm->timing_en = true;
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ofdm->foff_est_en = true;
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ofdm->phase_est_en = true;
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ofdm->foff_est_gain = 0.05f;
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ofdm->foff_est_hz = 0.0f;
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ofdm->sample_point = 0;
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ofdm->timing_est = 0;
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ofdm->timing_valid = 0;
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ofdm->timing_mx = 0.0f;
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ofdm->nin = ofdm_samplesperframe;
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ofdm->mean_amp = 0.0f;
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ofdm->foff_metric = 0.0f;
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/*
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* UW symbol placement, designed to get no false syncs at any freq
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* offset. Use ofdm_dev.m, debug_false_sync() to test. Note we need
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* to pair the UW bits so they fit into symbols. The LDPC decoder
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* works on symbols so we can't break up any symbols into UW/LDPC bits.
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*/
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uw_ind = (int*) malloc(sizeof (int) * ofdm_nuwbits);
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uw_ind_sym = (int*) malloc(sizeof (int) * (ofdm_nuwbits / 2));
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/*
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* The Unique Word is placed in different indexes based on
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* the number of carriers requested.
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*/
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for (i = 0, j = 0; i < (ofdm_nuwbits / 2); i++, j += 2) {
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int val = floorf((i + 1) * (ofdm_nc + 1) / 2);
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uw_ind_sym[i] = val; // symbol index
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uw_ind[j] = (val * 2); // bit index 1
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uw_ind[j + 1] = (val * 2) + 1; // bit index 2
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}
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tx_uw_syms = (std::complex<float>*) malloc(sizeof (std::complex<float>) * (ofdm_nuwbits / 2));
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for (i = 0; i < (ofdm_nuwbits / 2); i++) {
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tx_uw_syms[i] = 1.0f; // qpsk_mod(0:0)
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}
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/* sync state machine */
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ofdm->sync_state = search;
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ofdm->last_sync_state = search;
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ofdm->sync_state_interleaver = search;
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ofdm->last_sync_state_interleaver = search;
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ofdm->uw_errors = 0;
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ofdm->sync_counter = 0;
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ofdm->frame_count = 0;
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ofdm->sync_start = false;
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ofdm->sync_end = false;
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ofdm->sync_mode = autosync;
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ofdm->frame_count_interleaver = 0;
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/* create the OFDM waveform */
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std::complex<float> *temp = (std::complex<float>*) malloc(sizeof (std::complex<float>) * ofdm_m);
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idft(ofdm, temp, ofdm->pilots);
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/*
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* pilot_samples is 160 samples, but timing and freq offset est
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* were found by experiment to work better without a cyclic
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* prefix, so we uses zeroes instead.
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*/
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/* zero out Cyclic Prefix (CP) values */
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for (i = 0; i < ofdm_ncp; i++) {
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ofdm->pilot_samples[i] = 0.0f;
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}
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/* Now copy the whole thing after the above */
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for (i = ofdm_ncp, j = 0; j < ofdm_m; i++, j++) {
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ofdm->pilot_samples[i] = temp[j];
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}
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free(temp);
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/* calculate constant used to normalise timing correlation maximum */
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float acc = 0.0f;
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for (i = 0; i < (ofdm_m + ofdm_ncp); i++) {
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acc += cnormf(ofdm->pilot_samples[i]);
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}
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ofdm->timing_norm = (ofdm_m + ofdm_ncp) * acc;
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ofdm->clock_offset_counter = 0;
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ofdm->sig_var = ofdm->noise_var = 1.0f;
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ofdm->tx_bpf_en = false;
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return ofdm; /* Success */
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//// Error return points with free call in the reverse order of allocation:
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free(tx_uw_syms);
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free(uw_ind);
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free(uw_ind_sym);
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free(ofdm->tx_uw);
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free(ofdm->aphase_est_pilot_log);
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free(ofdm->rx_amp);
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free(ofdm->rx_np);
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for (i = 0; i < free_last_rx_sym; i++) {
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free(ofdm->rx_sym[i]);
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}
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free(ofdm->rx_sym);
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free(ofdm->pilots);
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free(ofdm->rxbuf);
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free(ofdm->pilot_samples);
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free(ofdm);
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return(NULL);
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}
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void allocate_tx_bpf(struct OFDM *ofdm) {
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ofdm->ofdm_tx_bpf = (struct quisk_cfFilter*) malloc(sizeof(struct quisk_cfFilter));
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/* Transmit bandpass filter; complex coefficients, center frequency */
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quisk_filt_cfInit(ofdm->ofdm_tx_bpf, filtP550S750, sizeof (filtP550S750) / sizeof (float));
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quisk_cfTune(ofdm->ofdm_tx_bpf, ofdm_tx_centre / ofdm_fs);
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}
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void deallocate_tx_bpf(struct OFDM *ofdm) {
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quisk_filt_destroy(ofdm->ofdm_tx_bpf);
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free(ofdm->ofdm_tx_bpf);
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ofdm->ofdm_tx_bpf = NULL;
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}
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void ofdm_destroy(struct OFDM *ofdm) {
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int i;
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if (ofdm->ofdm_tx_bpf)
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deallocate_tx_bpf(ofdm);
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free(ofdm->pilot_samples);
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free(ofdm->rxbuf);
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free(ofdm->pilots);
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for (i = 0; i < (ofdm_ns + 3); i++) { /* 2D array */
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free(ofdm->rx_sym[i]);
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}
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free(ofdm->rx_sym);
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free(ofdm->rx_np);
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free(ofdm->rx_amp);
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free(ofdm->aphase_est_pilot_log);
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free(ofdm->tx_uw);
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free(ofdm);
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}
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|
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/* convert frequency domain into time domain */
|
|
|
|
static void idft(struct OFDM *ofdm, std::complex<float> *result, std::complex<float> *vector) {
|
|
(void) ofdm;
|
|
int row, col;
|
|
|
|
result[0] = 0.0f;
|
|
|
|
for (col = 0; col < (ofdm_nc + 2); col++) {
|
|
result[0] += vector[col]; // cexp(0j) == 1
|
|
}
|
|
|
|
result[0] *= ofdm_inv_m;
|
|
|
|
for (row = 1; row < ofdm_m; row++) {
|
|
float tval1 = ofdm_tx_nlower * ofdm_doc *row;
|
|
float tval2 = ofdm_doc * row;
|
|
|
|
std::complex<float> c = cmplx(tval1);
|
|
std::complex<float> delta = cmplx(tval2);
|
|
|
|
result[row] = 0.0f;
|
|
|
|
for (col = 0; col < (ofdm_nc + 2); col++) {
|
|
result[row] += (vector[col] * c);
|
|
c *= delta;
|
|
}
|
|
|
|
result[row] *= ofdm_inv_m;
|
|
}
|
|
}
|
|
|
|
/* convert time domain into frequency domain */
|
|
|
|
static void dft(struct OFDM *ofdm, std::complex<float> *result, std::complex<float> *vector) {
|
|
(void) ofdm;
|
|
int row, col, nlower;
|
|
|
|
for (col = 0; col < (ofdm_nc + 2); col++) {
|
|
result[col] = vector[0]; // conj(cexp(0j)) == 1
|
|
}
|
|
|
|
for (col = 0, nlower = ofdm_rx_nlower; col < (ofdm_nc + 2); col++, nlower++) {
|
|
float tval = nlower * ofdm_doc;
|
|
std::complex<float> c = cmplxconj(tval);
|
|
std::complex<float> delta = c;
|
|
|
|
for (row = 1; row < ofdm_m; row++) {
|
|
result[col] += (vector[row] * c);
|
|
c *= delta;
|
|
}
|
|
}
|
|
}
|
|
|
|
static std::complex<float> vector_sum(std::complex<float> *a, int num_elements) {
|
|
int i;
|
|
|
|
std::complex<float> sum = 0.0f;
|
|
|
|
for (i = 0; i < num_elements; i++) {
|
|
sum += a[i];
|
|
}
|
|
|
|
return sum;
|
|
}
|
|
|
|
/*
|
|
* Correlates the OFDM pilot symbol samples with a window of received
|
|
* samples to determine the most likely timing offset. Combines two
|
|
* frames pilots so we need at least Nsamperframe+M+Ncp samples in rx.
|
|
*
|
|
* Can be used for acquisition (coarse timing), and fine timing.
|
|
*
|
|
* Unlike Octave version use states to return a few values.
|
|
*/
|
|
|
|
static int est_timing(struct OFDM *ofdm, std::complex<float> *rx, int length) {
|
|
std::complex<float> csam;
|
|
int Ncorr = length - (ofdm_samplesperframe + (ofdm_m + ofdm_ncp));
|
|
int SFrame = ofdm_samplesperframe;
|
|
float *corr = new float[Ncorr];
|
|
int i, j;
|
|
|
|
float acc = 0.0f;
|
|
|
|
for (i = 0; i < length; i++) {
|
|
acc += cnormf(rx[i]);
|
|
}
|
|
|
|
float av_level = 2.0f * sqrtf(ofdm->timing_norm * acc / length) + 1E-12f;
|
|
|
|
for (i = 0; i < Ncorr; i++) {
|
|
std::complex<float> corr_st = 0.0f;
|
|
std::complex<float> corr_en = 0.0f;
|
|
|
|
for (j = 0; j < (ofdm_m + ofdm_ncp); j++) {
|
|
csam = std::conj(ofdm->pilot_samples[j]);
|
|
|
|
corr_st = corr_st + (rx[i + j ] * csam);
|
|
corr_en = corr_en + (rx[i + j + SFrame] * csam);
|
|
}
|
|
|
|
corr[i] = (std::abs(corr_st) + std::abs(corr_en)) / av_level;
|
|
}
|
|
|
|
/* find the max magnitude and its index */
|
|
|
|
float timing_mx = 0.0f;
|
|
int timing_est = 0;
|
|
|
|
for (i = 0; i < Ncorr; i++) {
|
|
if (corr[i] > timing_mx) {
|
|
timing_mx = corr[i];
|
|
timing_est = i;
|
|
}
|
|
}
|
|
|
|
ofdm->timing_mx = timing_mx;
|
|
ofdm->timing_valid = (timing_mx > ofdm_timing_mx_thresh); /* bool but used as external int */
|
|
|
|
if (ofdm->verbose > 1) {
|
|
fprintf(stderr, " av_level: %f max: %f timing_est: %d timing_valid: %d\n", (double) av_level, (double) ofdm->timing_mx, timing_est, ofdm->timing_valid);
|
|
}
|
|
|
|
delete[] corr;
|
|
|
|
return timing_est;
|
|
}
|
|
|
|
/*
|
|
* Determines frequency offset at current timing estimate, used for
|
|
* coarse freq offset estimation during acquisition.
|
|
*
|
|
* Freq offset is based on an averaged statistic that was found to be
|
|
* necessary to generate good quality estimates.
|
|
*
|
|
* Keep calling it when in trial or actual sync to keep statistic
|
|
* updated, in case we lose sync.
|
|
*/
|
|
|
|
static float est_freq_offset(struct OFDM *ofdm, std::complex<float> *rx, int timing_est) {
|
|
std::complex<float> csam1, csam2;
|
|
float foff_est;
|
|
int j, k;
|
|
|
|
/*
|
|
Freq offset can be considered as change in phase over two halves
|
|
of pilot symbols. We average this statistic over this and next
|
|
frames pilots.
|
|
*/
|
|
|
|
std::complex<float> p1, p2, p3, p4;
|
|
p1 = p2 = p3 = p4 = 0.0f;
|
|
|
|
/* calculate phase of pilots at half symbol intervals */
|
|
|
|
for (j = 0, k = (ofdm_m + ofdm_ncp) / 2; j < (ofdm_m + ofdm_ncp) / 2; j++, k++) {
|
|
csam1 = std::conj(ofdm->pilot_samples[j]);
|
|
csam2 = std::conj(ofdm->pilot_samples[k]);
|
|
|
|
/* pilot at start of frame */
|
|
|
|
p1 = p1 + (rx[timing_est + j] * csam1);
|
|
p2 = p2 + (rx[timing_est + k] * csam2);
|
|
|
|
/* pilot at end of frame */
|
|
|
|
p3 = p3 + (rx[timing_est + j + ofdm_samplesperframe] * csam1);
|
|
p4 = p4 + (rx[timing_est + k + ofdm_samplesperframe] * csam2);
|
|
}
|
|
|
|
/* Calculate sample rate of phase samples, we are sampling phase
|
|
of pilot at half a symbol intervals */
|
|
|
|
float Fs1 = ofdm_fs / ((ofdm_m + ofdm_ncp) / 2);
|
|
|
|
/*
|
|
* subtract phase of adjacent samples, rate of change of phase is
|
|
* frequency est. We combine samples from either end of frame to
|
|
* improve estimate. Small real 1E-12 term to prevent instability
|
|
* with 0 inputs.
|
|
*/
|
|
|
|
ofdm->foff_metric = 0.9f * ofdm->foff_metric + 0.1f * (std::conj(p1) * p2 + std::conj(p3) * p4);
|
|
foff_est = Fs1 * std::arg(ofdm->foff_metric + 1E-12f) / TAU;
|
|
|
|
if (ofdm->verbose > 1) {
|
|
fprintf(stderr, " foff_metric: %f %f foff_est: %f\n", std::real(ofdm->foff_metric), std::imag(ofdm->foff_metric), (double) foff_est);
|
|
}
|
|
|
|
return foff_est;
|
|
}
|
|
|
|
/*
|
|
* ----------------------------------------------
|
|
* ofdm_txframe - modulates one frame of symbols
|
|
* ----------------------------------------------
|
|
*/
|
|
|
|
void ofdm_txframe(struct OFDM *ofdm, std::complex<float> *tx, std::complex<float> *tx_sym_lin) {
|
|
int sx = ofdm_ns;
|
|
int sy = ofdm_nc + 2;
|
|
std::complex<float> *aframe = new std::complex<float>[sx*sy];
|
|
std::complex<float> *asymbol = new std::complex<float>[ofdm_m];
|
|
std::complex<float> *asymbol_cp = new std::complex<float>[ofdm_m + ofdm_ncp];
|
|
int i, j, k, m;
|
|
|
|
/* initialize aframe to complex zero */
|
|
|
|
for (i = 0; i < ofdm_ns; i++) {
|
|
for (j = 0; j < (ofdm_nc + 2); j++) {
|
|
aframe[i*sy+j] = 0.0f;
|
|
}
|
|
}
|
|
|
|
/* copy in a row of complex pilots to first row */
|
|
|
|
for (i = 0; i < (ofdm_nc + 2); i++) {
|
|
aframe[0*sy+i] = ofdm->pilots[i];
|
|
}
|
|
|
|
/*
|
|
* Place symbols in multi-carrier frame with pilots
|
|
* This will place boundary values of complex zero around data
|
|
*/
|
|
|
|
for (i = 1; i <= ofdm_rowsperframe; i++) {
|
|
|
|
/* copy in the Nc complex values with [0 Nc 0] or (Nc + 2) total */
|
|
|
|
for (j = 1; j < (ofdm_nc + 1); j++) {
|
|
aframe[i*sy+j] = tx_sym_lin[((i - 1) * ofdm_nc) + (j - 1)];
|
|
}
|
|
}
|
|
|
|
/* OFDM up-convert symbol by symbol so we can add CP */
|
|
|
|
for (i = 0, m = 0; i < ofdm_ns; i++, m += (ofdm_m + ofdm_ncp)) {
|
|
idft(ofdm, asymbol, &aframe[i*sy]);
|
|
|
|
/* Copy the last Ncp samples to the front */
|
|
|
|
for (j = (ofdm_m - ofdm_ncp), k = 0; j < ofdm_m; j++, k++) {
|
|
asymbol_cp[k] = asymbol[j];
|
|
}
|
|
|
|
/* Now copy the all samples for this row after it */
|
|
|
|
for (j = ofdm_ncp, k = 0; k < ofdm_m; j++, k++) {
|
|
asymbol_cp[j] = asymbol[k];
|
|
}
|
|
|
|
/* Now move row to the tx output */
|
|
|
|
for (j = 0; j < (ofdm_m + ofdm_ncp); j++) {
|
|
tx[m + j] = asymbol_cp[j];
|
|
}
|
|
}
|
|
|
|
/* optional Tx Band Pass Filter */
|
|
|
|
if (ofdm->tx_bpf_en == true) {
|
|
std::complex<float> *tx_filt = new std::complex<float>[ofdm_samplesperframe];
|
|
|
|
quisk_ccfFilter(tx, tx_filt, ofdm_samplesperframe, ofdm->ofdm_tx_bpf);
|
|
memcpy(tx, tx_filt, ofdm_samplesperframe * sizeof (std::complex<float>));
|
|
delete[] tx_filt;
|
|
}
|
|
|
|
delete[] asymbol_cp;
|
|
delete[] asymbol;
|
|
delete[] aframe;
|
|
}
|
|
|
|
struct OFDM_CONFIG *ofdm_get_config_param() {
|
|
return &ofdm_config;
|
|
}
|
|
|
|
int ofdm_get_nin(struct OFDM *ofdm) {
|
|
return ofdm->nin;
|
|
}
|
|
|
|
int ofdm_get_samples_per_frame() {
|
|
return ofdm_samplesperframe;
|
|
}
|
|
|
|
int ofdm_get_max_samples_per_frame() {
|
|
return 2 * ofdm_max_samplesperframe;
|
|
}
|
|
|
|
int ofdm_get_bits_per_frame() {
|
|
return ofdm_bitsperframe;
|
|
}
|
|
|
|
void ofdm_set_verbose(struct OFDM *ofdm, int level) {
|
|
ofdm->verbose = level;
|
|
}
|
|
|
|
void ofdm_set_timing_enable(struct OFDM *ofdm, bool val) {
|
|
ofdm->timing_en = val;
|
|
|
|
if (ofdm->timing_en == false) {
|
|
/* manually set ideal timing instant */
|
|
|
|
ofdm->sample_point = (ofdm_ncp - 1);
|
|
}
|
|
}
|
|
|
|
void ofdm_set_foff_est_enable(struct OFDM *ofdm, bool val) {
|
|
ofdm->foff_est_en = val;
|
|
}
|
|
|
|
void ofdm_set_phase_est_enable(struct OFDM *ofdm, bool val) {
|
|
ofdm->phase_est_en = val;
|
|
}
|
|
|
|
void ofdm_set_off_est_hz(struct OFDM *ofdm, float val) {
|
|
ofdm->foff_est_hz = val;
|
|
}
|
|
|
|
void ofdm_set_tx_bpf(struct OFDM *ofdm, bool val) {
|
|
if (val == true) {
|
|
allocate_tx_bpf(ofdm);
|
|
ofdm->tx_bpf_en = true;
|
|
} else {
|
|
if (ofdm->ofdm_tx_bpf)
|
|
deallocate_tx_bpf(ofdm);
|
|
ofdm->tx_bpf_en = false;
|
|
}
|
|
}
|
|
|
|
/*
|
|
* --------------------------------------
|
|
* ofdm_mod - modulates one frame of bits
|
|
* --------------------------------------
|
|
*/
|
|
|
|
void ofdm_mod(struct OFDM *ofdm, COMP *result, const int *tx_bits) {
|
|
int length = ofdm_bitsperframe / ofdm_bps;
|
|
std::complex<float> *tx = (std::complex<float> *) &result[0]; // complex has same memory layout
|
|
std::complex<float> *tx_sym_lin = new std::complex<float>[length];
|
|
int dibit[2];
|
|
int s, i;
|
|
|
|
if (ofdm_bps == 1) {
|
|
/* Here we will have Nbitsperframe / 1 */
|
|
|
|
for (s = 0; s < length; s++) {
|
|
tx_sym_lin[s] = (float) (2 * tx_bits[s] - 1);
|
|
}
|
|
} else if (ofdm_bps == 2) {
|
|
/* Here we will have Nbitsperframe / 2 */
|
|
|
|
for (s = 0, i = 0; i < length; s += 2, i++) {
|
|
dibit[0] = tx_bits[s + 1] & 0x1;
|
|
dibit[1] = tx_bits[s ] & 0x1;
|
|
tx_sym_lin[i] = qpsk_mod(dibit);
|
|
}
|
|
}
|
|
|
|
ofdm_txframe(ofdm, tx, tx_sym_lin);
|
|
delete[] tx_sym_lin;
|
|
}
|
|
|
|
/*
|
|
* ----------------------------------------------------------------------------------
|
|
* ofdm_sync_search - attempts to find coarse sync parameters for modem initial sync
|
|
* ----------------------------------------------------------------------------------
|
|
*/
|
|
|
|
/*
|
|
* This is a wrapper to maintain the older functionality
|
|
* with an array of COMPs as input
|
|
*/
|
|
int ofdm_sync_search(struct OFDM *ofdm, COMP *rxbuf_in) {
|
|
std::complex<float> *rx = (std::complex<float> *) &rxbuf_in[0]; // complex has same memory layout
|
|
int i, j;
|
|
|
|
/*
|
|
* insert latest input samples into rxbuf
|
|
* so it is primed for when we have to
|
|
* call ofdm_demod()
|
|
*/
|
|
for (i = 0, j = ofdm->nin; i < (ofdm_rxbuf - ofdm->nin); i++, j++) {
|
|
ofdm->rxbuf[i] = ofdm->rxbuf[j];
|
|
}
|
|
|
|
/* insert latest input samples onto tail of rxbuf */
|
|
|
|
for (i = (ofdm_rxbuf - ofdm->nin), j = 0; i < ofdm_rxbuf; i++, j++) {
|
|
ofdm->rxbuf[i] = rx[j];
|
|
}
|
|
|
|
return(ofdm_sync_search_core(ofdm));
|
|
}
|
|
|
|
/*
|
|
* This is a wrapper with a new interface to reduce memory allocated.
|
|
* This works with ofdm_demod and freedv_api.
|
|
*/
|
|
int ofdm_sync_search_shorts(struct OFDM *ofdm, short *rxbuf_in, float gain) {
|
|
int i, j;
|
|
|
|
/* shift the buffer left based on nin */
|
|
|
|
for (i = 0, j = ofdm->nin; i < (ofdm_rxbuf - ofdm->nin); i++, j++) {
|
|
ofdm->rxbuf[i] = ofdm->rxbuf[j];
|
|
}
|
|
|
|
/* insert latest input samples onto tail of rxbuf */
|
|
|
|
for (i = (ofdm_rxbuf - ofdm->nin), j = 0; i < ofdm_rxbuf; i++, j++) {
|
|
ofdm->rxbuf[i] = ((float)rxbuf_in[j] * gain);
|
|
}
|
|
|
|
return(ofdm_sync_search_core(ofdm));
|
|
}
|
|
|
|
/*
|
|
* This is the rest of the function which expects that the data is
|
|
* already in ofdm->rxbuf
|
|
*/
|
|
static int ofdm_sync_search_core(struct OFDM *ofdm) {
|
|
/* Attempt coarse timing estimate (i.e. detect start of frame) */
|
|
|
|
int st = ofdm_m + ofdm_ncp + ofdm_samplesperframe;
|
|
int en = st + 2 * ofdm_samplesperframe;
|
|
int ct_est = est_timing(ofdm, &ofdm->rxbuf[st], (en - st));
|
|
|
|
ofdm->coarse_foff_est_hz = est_freq_offset(ofdm, &ofdm->rxbuf[st], ct_est);
|
|
|
|
if (ofdm->verbose) {
|
|
fprintf(stderr, " ct_est: %4d foff_est: %4.1f timing_valid: %d timing_mx: %5.4f\n",
|
|
ct_est, (double) ofdm->coarse_foff_est_hz, ofdm->timing_valid, (double) ofdm->timing_mx);
|
|
}
|
|
|
|
if (ofdm->timing_valid) {
|
|
/* potential candidate found .... */
|
|
|
|
/* calculate number of samples we need on next buffer to get into sync */
|
|
|
|
ofdm->nin = ofdm_samplesperframe + ct_est;
|
|
|
|
/* reset modem states */
|
|
|
|
ofdm->sample_point = ofdm->timing_est = 0;
|
|
ofdm->foff_est_hz = ofdm->coarse_foff_est_hz;
|
|
} else {
|
|
ofdm->nin = ofdm_samplesperframe;
|
|
}
|
|
|
|
return ofdm->timing_valid;
|
|
}
|
|
|
|
/*
|
|
* ------------------------------------------
|
|
* ofdm_demod - Demodulates one frame of bits
|
|
* ------------------------------------------
|
|
*/
|
|
|
|
/* This is a wrapper to maintain the older functionality with an
|
|
* array of COMPs as input */
|
|
void ofdm_demod(struct OFDM *ofdm, int *rx_bits, COMP *rxbuf_in) {
|
|
std::complex<float> *rx = (std::complex<float> *) &rxbuf_in[0]; // complex has same memory layout
|
|
int i, j;
|
|
|
|
/* shift the buffer left based on nin */
|
|
for (i = 0, j = ofdm->nin; i < (ofdm_rxbuf - ofdm->nin); i++, j++) {
|
|
ofdm->rxbuf[i] = ofdm->rxbuf[j];
|
|
}
|
|
|
|
/* insert latest input samples onto tail of rxbuf */
|
|
for (i = (ofdm_rxbuf - ofdm->nin), j = 0; i < ofdm_rxbuf; i++, j++) {
|
|
ofdm->rxbuf[i] = rx[j];
|
|
}
|
|
|
|
ofdm_demod_core(ofdm, rx_bits);
|
|
}
|
|
|
|
/* This is a wrapper with a new interface to reduce memory allocated.
|
|
* This works with ofdm_demod and freedv_api. */
|
|
void ofdm_demod_shorts(struct OFDM *ofdm, int *rx_bits, short *rxbuf_in, float gain) {
|
|
int i, j;
|
|
|
|
/* shift the buffer left based on nin */
|
|
for (i = 0, j = ofdm->nin; i < (ofdm_rxbuf - ofdm->nin); i++, j++) {
|
|
ofdm->rxbuf[i] = ofdm->rxbuf[j];
|
|
}
|
|
|
|
/* insert latest input samples onto tail of rxbuf */
|
|
for (i = (ofdm_rxbuf - ofdm->nin), j = 0; i < ofdm_rxbuf; i++, j++) {
|
|
ofdm->rxbuf[i] = ((float)rxbuf_in[j] * gain);
|
|
}
|
|
|
|
ofdm_demod_core(ofdm, rx_bits);
|
|
}
|
|
|
|
/*
|
|
* This is the rest of the function which expects that the data is
|
|
* already in ofdm->rxbuf
|
|
*/
|
|
static void ofdm_demod_core(struct OFDM *ofdm, int *rx_bits) {
|
|
std::complex<float> aphase_est_pilot_rect;
|
|
float *aphase_est_pilot = new float[ofdm_nc + 2];
|
|
float *aamp_est_pilot = new float[ofdm_nc + 2];
|
|
float freq_err_hz;
|
|
int i, j, k, rr, st, en, ft_est;
|
|
int prev_timing_est = ofdm->timing_est;
|
|
|
|
/*
|
|
* get user and calculated freq offset
|
|
*/
|
|
|
|
float woff_est = TAU * ofdm->foff_est_hz / ofdm_fs;
|
|
|
|
/* update timing estimate -------------------------------------------------- */
|
|
|
|
if (ofdm->timing_en == true) {
|
|
/* update timing at start of every frame */
|
|
|
|
st = ((ofdm_m + ofdm_ncp) + ofdm_samplesperframe) - floorf(ofdm_ftwindowwidth / 2) + ofdm->timing_est;
|
|
en = st + ofdm_samplesperframe - 1 + (ofdm_m + ofdm_ncp) + ofdm_ftwindowwidth;
|
|
|
|
std::complex<float> *work = new std::complex<float>[(en - st)];
|
|
|
|
/*
|
|
* Adjust for the frequency error by shifting the phase
|
|
* using a conjugate multiply
|
|
*/
|
|
|
|
for (i = st, j = 0; i < en; i++, j++) {
|
|
float tval = woff_est * i;
|
|
work[j] = ofdm->rxbuf[i] * cmplxconj(tval);
|
|
}
|
|
|
|
ft_est = est_timing(ofdm, work, (en - st));
|
|
ofdm->timing_est += (ft_est - ceilf(ofdm_ftwindowwidth / 2));
|
|
|
|
/*
|
|
* keep the freq est statistic updated in case we lose sync,
|
|
* note we supply it with uncorrected rxbuf, note
|
|
* ofdm->coarse_fest_off_hz is unused in normal operation,
|
|
* but stored for use in tofdm.c
|
|
*/
|
|
|
|
ofdm->coarse_foff_est_hz = est_freq_offset(ofdm, &ofdm->rxbuf[st], ft_est);
|
|
|
|
/* first frame in trial sync will have a better freq offset est - lets use it */
|
|
|
|
if (ofdm->frame_count == 0) {
|
|
ofdm->foff_est_hz = ofdm->coarse_foff_est_hz;
|
|
woff_est = TAU * ofdm->foff_est_hz / ofdm_fs;
|
|
}
|
|
|
|
if (ofdm->verbose > 1) {
|
|
fprintf(stderr, " ft_est: %2d timing_est: %2d sample_point: %2d\n", ft_est, ofdm->timing_est, ofdm->sample_point);
|
|
}
|
|
|
|
/* Black magic to keep sample_point inside cyclic prefix. Or something like that. */
|
|
|
|
ofdm->sample_point = max(ofdm->timing_est + (ofdm_ncp / 4), ofdm->sample_point);
|
|
ofdm->sample_point = min(ofdm->timing_est + ofdm_ncp, ofdm->sample_point);
|
|
delete[] work;
|
|
}
|
|
|
|
/*
|
|
* Convert the time-domain samples to the frequency-domain using the rx_sym
|
|
* data matrix. This will be Nc+2 carriers of 11 symbols.
|
|
*
|
|
* You will notice there are Nc+2 BPSK symbols for each pilot symbol, and that there
|
|
* are Nc QPSK symbols for each data symbol.
|
|
*
|
|
* XXXXXXXXXXXXXXXXX <-- Timing Slip
|
|
* PPPPPPPPPPPPPPPPPPP <-- Previous Frames Pilot
|
|
* DDDDDDDDDDDDDDDDD
|
|
* DDDDDDDDDDDDDDDDD
|
|
* DDDDDDDDDDDDDDDDD
|
|
* DDDDDDDDDDDDDDDDD Ignore these past data symbols
|
|
* DDDDDDDDDDDDDDDDD
|
|
* DDDDDDDDDDDDDDDDD
|
|
* DDDDDDDDDDDDDDDDD
|
|
* PPPPPPPPPPPPPPPPPPP <-- This Frames Pilot
|
|
* DDDDDDDDDDDDDDDDD
|
|
* DDDDDDDDDDDDDDDDD
|
|
* DDDDDDDDDDDDDDDDD
|
|
* DDDDDDDDDDDDDDDDD These are the current data symbols to be decoded
|
|
* DDDDDDDDDDDDDDDDD
|
|
* DDDDDDDDDDDDDDDDD
|
|
* DDDDDDDDDDDDDDDDD
|
|
* PPPPPPPPPPPPPPPPPPP <-- Next Frames Pilot
|
|
* DDDDDDDDDDDDDDDDD
|
|
* DDDDDDDDDDDDDDDDD
|
|
* DDDDDDDDDDDDDDDDD
|
|
* DDDDDDDDDDDDDDDDD Ignore these next data symbols
|
|
* DDDDDDDDDDDDDDDDD
|
|
* DDDDDDDDDDDDDDDDD
|
|
* DDDDDDDDDDDDDDDDD
|
|
* PPPPPPPPPPPPPPPPPPP <-- Future Frames Pilot
|
|
* XXXXXXXXXXXXXXXXX <-- Timing Slip
|
|
*
|
|
* So this algorithm will have seven data symbols and four pilot symbols to process.
|
|
* The average of the four pilot symbols is our phase estimation.
|
|
*/
|
|
|
|
for (i = 0; i < (ofdm_ns + 3); i++) {
|
|
for (j = 0; j < (ofdm_nc + 2); j++) {
|
|
ofdm->rx_sym[i][j] = 0.0f;
|
|
}
|
|
}
|
|
|
|
/*
|
|
* "Previous" pilot symbol is one modem frame above.
|
|
*/
|
|
|
|
st = (ofdm_m + ofdm_ncp) + 1 + ofdm->sample_point;
|
|
en = st + ofdm_m;
|
|
|
|
std::complex<float> *work = new std::complex<float>[ofdm_m];
|
|
|
|
/* down-convert at current timing instant---------------------------------- */
|
|
|
|
for (j = st, k = 0; j < en; j++, k++) {
|
|
float tval = woff_est * j;
|
|
work[k] = ofdm->rxbuf[j] * cmplxconj(tval);
|
|
}
|
|
|
|
/*
|
|
* Each symbol is of course (ofdm_m + ofdm_ncp) samples long and
|
|
* becomes Nc+2 carriers after DFT.
|
|
*
|
|
* We put this carrier pilot symbol at the top of our matrix:
|
|
*
|
|
* 1 .................. Nc+2
|
|
*
|
|
* +----------------------+
|
|
* | Previous Pilot | rx_sym[0]
|
|
* +----------------------+
|
|
* | |
|
|
*
|
|
*/
|
|
|
|
dft(ofdm, ofdm->rx_sym[0], work);
|
|
|
|
/*
|
|
* "This" pilot comes after the extra symbol allotted at the top, and after
|
|
* the "previous" pilot and previous data symbols (let's call it, the previous
|
|
* modem frame).
|
|
*
|
|
* So we will now be starting at "this" pilot symbol, and continuing to the
|
|
* "next" pilot symbol.
|
|
*
|
|
* In this routine we also process the current data symbols.
|
|
*/
|
|
|
|
for (rr = 0; rr < (ofdm_ns + 1); rr++) {
|
|
st = (ofdm_m + ofdm_ncp) + ofdm_samplesperframe + (rr * (ofdm_m + ofdm_ncp)) + 1 + ofdm->sample_point;
|
|
en = st + ofdm_m;
|
|
|
|
/* down-convert at current timing instant---------------------------------- */
|
|
|
|
for (j = st, k = 0; j < en; j++, k++) {
|
|
float tval = woff_est * j;
|
|
work[k] = ofdm->rxbuf[j] * cmplxconj(tval);
|
|
}
|
|
|
|
/*
|
|
* We put these Nc+2 carrier symbols into our matrix after the previous pilot:
|
|
*
|
|
* 1 .................. Nc+2
|
|
*
|
|
* | Previous Pilot | rx_sym[0]
|
|
* +----------------------+
|
|
* | This Pilot | rx_sym[1]
|
|
* +----------------------+
|
|
* | Data | rx_sym[2]
|
|
* +----------------------+
|
|
* | Data | rx_sym[3]
|
|
* +----------------------+
|
|
* | Data | rx_sym[4]
|
|
* +----------------------+
|
|
* | Data | rx_sym[5]
|
|
* +----------------------+
|
|
* | Data | rx_sym[6]
|
|
* +----------------------+
|
|
* | Data | rx_sym[7]
|
|
* +----------------------+
|
|
* | Data | rx_sym[8]
|
|
* +----------------------+
|
|
* | Next Pilot | rx_sym[9]
|
|
* +----------------------+
|
|
* | | rx_sym[10]
|
|
*/
|
|
|
|
dft(ofdm, ofdm->rx_sym[rr + 1], work);
|
|
}
|
|
|
|
/*
|
|
* OK, now we want to process to the "future" pilot symbol. This is after
|
|
* the "next" modem frame.
|
|
*
|
|
* We are ignoring the data symbols between the "next" pilot and "future" pilot.
|
|
* We only want the "future" pilot symbol, to perform the averaging of all pilots.
|
|
*/
|
|
|
|
st = (ofdm_m + ofdm_ncp) + (3 * ofdm_samplesperframe) + 1 + ofdm->sample_point;
|
|
en = st + ofdm_m;
|
|
|
|
/* down-convert at current timing instant---------------------------------- */
|
|
|
|
for (j = st, k = 0; j < en; j++, k++) {
|
|
float tval = woff_est * j;
|
|
work[k] = ofdm->rxbuf[j] * cmplxconj(tval);
|
|
}
|
|
|
|
/*
|
|
* We put the future pilot after all the previous symbols in the matrix:
|
|
*
|
|
* 1 .................. Nc+2
|
|
*
|
|
* | | rx_sym[9]
|
|
* +----------------------+
|
|
* | Future Pilot | rx_sym[10]
|
|
* +----------------------+
|
|
*/
|
|
|
|
dft(ofdm, ofdm->rx_sym[ofdm_ns + 2], work);
|
|
|
|
/*
|
|
* We are finished now with the DFT and down conversion
|
|
* From here on down we are in frequency domain
|
|
*/
|
|
|
|
/* est freq err based on all carriers ------------------------------------ */
|
|
|
|
if (ofdm->foff_est_en == true) {
|
|
/*
|
|
* sym[1] is (this) pilot symbol, sym[9] is (next) pilot symbol.
|
|
*
|
|
* By subtracting the two averages of these pilots, we find the frequency
|
|
* by the change in phase over time.
|
|
*/
|
|
|
|
std::complex<float> freq_err_rect =
|
|
std::conj(vector_sum(ofdm->rx_sym[1], ofdm_nc + 2)) *
|
|
vector_sum(ofdm->rx_sym[ofdm_ns + 1], ofdm_nc + 2);
|
|
|
|
/* prevent instability in atan(im/re) when real part near 0 */
|
|
|
|
freq_err_rect += 1E-6f;
|
|
|
|
freq_err_hz = std::arg(freq_err_rect) * ofdm_rs / (TAU * ofdm_ns);
|
|
ofdm->foff_est_hz += (ofdm->foff_est_gain * freq_err_hz);
|
|
}
|
|
|
|
/* OK - now estimate and correct pilot phase ---------------------------------- */
|
|
|
|
for (i = 0; i < (ofdm_nc + 2); i++) {
|
|
aphase_est_pilot[i] = 10.0f;
|
|
aamp_est_pilot[i] = 0.0f;
|
|
}
|
|
|
|
/*
|
|
* Basically we divide the Nc+2 pilots into groups of 3
|
|
*
|
|
* Then average the phase surrounding each of the data symbols.
|
|
*/
|
|
|
|
for (i = 1; i < (ofdm_nc + 1); i++) {
|
|
std::complex<float> symbol[3];
|
|
|
|
for (j = (i - 1), k = 0; j < (i + 2); j++, k++) {
|
|
symbol[k] = ofdm->rx_sym[1][j] * std::conj(ofdm->pilots[j]); /* this pilot conjugate */
|
|
}
|
|
|
|
aphase_est_pilot_rect = vector_sum(symbol, 3);
|
|
|
|
for (j = (i - 1), k = 0; j < (i + 2); j++, k++) {
|
|
symbol[k] = ofdm->rx_sym[ofdm_ns + 1][j] * std::conj(ofdm->pilots[j]); /* next pilot conjugate */
|
|
}
|
|
|
|
aphase_est_pilot_rect = aphase_est_pilot_rect + vector_sum(symbol, 3);
|
|
|
|
/* use next step of pilots in past and future */
|
|
|
|
for (j = (i - 1), k = 0; j < (i + 2); j++, k++) {
|
|
symbol[k] = ofdm->rx_sym[0][j] * std::conj(ofdm->pilots[j]); /* previous pilot */
|
|
}
|
|
|
|
aphase_est_pilot_rect = aphase_est_pilot_rect + vector_sum(symbol, 3);
|
|
|
|
for (j = (i - 1), k = 0; j < (i + 2); j++, k++) {
|
|
symbol[k] = ofdm->rx_sym[ofdm_ns + 2][j] * std::conj(ofdm->pilots[j]); /* last pilot */
|
|
}
|
|
|
|
aphase_est_pilot_rect = aphase_est_pilot_rect + vector_sum(symbol, 3);
|
|
aphase_est_pilot[i] = std::arg(aphase_est_pilot_rect);
|
|
|
|
/* amplitude is estimated over 12 pilots */
|
|
|
|
aamp_est_pilot[i] = std::abs(aphase_est_pilot_rect / 12.0f);
|
|
}
|
|
|
|
/*
|
|
* correct phase offset using phase estimate, and demodulate
|
|
* bits, separate loop as it runs across cols (carriers) to get
|
|
* frame bit ordering correct
|
|
*/
|
|
|
|
std::complex<float> rx_corr;
|
|
int abit[2];
|
|
int bit_index = 0;
|
|
float sum_amp = 0.0f;
|
|
|
|
for (rr = 0; rr < ofdm_rowsperframe; rr++) {
|
|
/*
|
|
* Note the i starts with the second carrier, ends with Nc+1.
|
|
* so we ignore the first and last carriers.
|
|
*
|
|
* Also note we are using sym[2..8] or the seven data symbols.
|
|
*/
|
|
|
|
for (i = 1; i < (ofdm_nc + 1); i++) {
|
|
if (ofdm->phase_est_en == true) {
|
|
rx_corr = ofdm->rx_sym[rr + 2][i] * cmplxconj(aphase_est_pilot[i]);
|
|
} else {
|
|
rx_corr = ofdm->rx_sym[rr + 2][i];
|
|
}
|
|
|
|
/*
|
|
* Output complex data symbols after phase correction;
|
|
* rx_np means the pilot symbols have been removed
|
|
*/
|
|
|
|
ofdm->rx_np[(rr * ofdm_nc) + (i - 1)] = rx_corr;
|
|
|
|
/*
|
|
* Note even though amp ests are the same for each col,
|
|
* the FEC decoder likes to have one amplitude per symbol
|
|
* so convenient to log them all
|
|
*/
|
|
|
|
ofdm->rx_amp[(rr * ofdm_nc) + (i - 1)] = aamp_est_pilot[i];
|
|
sum_amp += aamp_est_pilot[i];
|
|
|
|
/*
|
|
* Note like amps in this implementation phase ests are the
|
|
* same for each col, but we log them for each symbol anyway
|
|
*/
|
|
|
|
ofdm->aphase_est_pilot_log[(rr * ofdm_nc) + (i - 1)] = aphase_est_pilot[i];
|
|
|
|
if (ofdm_bps == 1) {
|
|
rx_bits[bit_index++] = std::real(rx_corr) > 0.0f;
|
|
} else if (ofdm_bps == 2) {
|
|
/*
|
|
* Only one final task, decode what quadrant the phase
|
|
* is in, and return the dibits
|
|
*/
|
|
qpsk_demod(rx_corr, abit);
|
|
rx_bits[bit_index++] = abit[1];
|
|
rx_bits[bit_index++] = abit[0];
|
|
}
|
|
}
|
|
}
|
|
|
|
/* update mean amplitude estimate for LDPC decoder scaling */
|
|
|
|
ofdm->mean_amp = 0.9f * ofdm->mean_amp + 0.1f * sum_amp / (ofdm_rowsperframe * ofdm_nc);
|
|
|
|
/* Adjust nin to take care of sample clock offset */
|
|
|
|
ofdm->nin = ofdm_samplesperframe;
|
|
|
|
if (ofdm->timing_en == true) {
|
|
ofdm->clock_offset_counter += prev_timing_est - ofdm->timing_est;
|
|
|
|
int thresh = (ofdm_m + ofdm_ncp) / 8;
|
|
int tshift = (ofdm_m + ofdm_ncp) / 4;
|
|
|
|
if (ofdm->timing_est > thresh) {
|
|
ofdm->nin = ofdm_samplesperframe + tshift;
|
|
ofdm->timing_est -= tshift;
|
|
ofdm->sample_point -= tshift;
|
|
} else if (ofdm->timing_est < -thresh) {
|
|
ofdm->nin = ofdm_samplesperframe - tshift;
|
|
ofdm->timing_est += tshift;
|
|
ofdm->sample_point += tshift;
|
|
}
|
|
}
|
|
|
|
/*
|
|
* estimate signal and noise power, see ofdm_lib.m,
|
|
* cohpsk.m for more info
|
|
*/
|
|
|
|
std::complex<float> *rx_np = ofdm->rx_np;
|
|
|
|
float sig_var = 0.0f;
|
|
|
|
for (i = 0; i < (ofdm_rowsperframe * ofdm_nc); i++) {
|
|
sig_var += cnormf(rx_np[i]);
|
|
}
|
|
|
|
sig_var /= (ofdm_rowsperframe * ofdm_nc);
|
|
float sig_rms = sqrtf(sig_var);
|
|
|
|
float sum_x = 0.0f;
|
|
float sum_xx = 0.0f;
|
|
int n = 0;
|
|
|
|
for (i = 0; i < (ofdm_rowsperframe * ofdm_nc); i++) {
|
|
std::complex<float> s = rx_np[i];
|
|
|
|
if (fabsf(std::real(s)) > sig_rms) {
|
|
sum_x += std::imag(s);
|
|
sum_xx += std::imag(s) * std::imag(s);
|
|
n++;
|
|
}
|
|
}
|
|
|
|
/*
|
|
* with large interfering carriers this alg can break down - in
|
|
* that case set a benign value for noise_var that will produce a
|
|
* sensible (probably low) SNR est
|
|
*/
|
|
|
|
float noise_var = 1.0f;
|
|
|
|
if (n > 1) {
|
|
noise_var = (n * sum_xx - sum_x * sum_x) / (n * (n - 1));
|
|
}
|
|
|
|
ofdm->noise_var = 2.0f * noise_var;
|
|
ofdm->sig_var = sig_var;
|
|
|
|
delete[] work;
|
|
delete[] aamp_est_pilot;
|
|
delete[] aphase_est_pilot;
|
|
}
|
|
|
|
/* iterate state machine ------------------------------------*/
|
|
|
|
void ofdm_sync_state_machine(struct OFDM *ofdm, uint8_t *rx_uw) {
|
|
int i;
|
|
|
|
State next_state = ofdm->sync_state;
|
|
|
|
ofdm->sync_start = false;
|
|
ofdm->sync_end = false;
|
|
|
|
if (ofdm->sync_state == search) {
|
|
if (ofdm->timing_valid) {
|
|
ofdm->frame_count = 0;
|
|
ofdm->sync_counter = 0;
|
|
ofdm->sync_start = true;
|
|
ofdm->clock_offset_counter = 0;
|
|
next_state = trial;
|
|
}
|
|
}
|
|
|
|
if ((ofdm->sync_state == synced) || (ofdm->sync_state == trial)) {
|
|
ofdm->frame_count++;
|
|
ofdm->frame_count_interleaver++;
|
|
|
|
/*
|
|
* freq offset est may be too far out, and has aliases every 1/Ts, so
|
|
* we use a Unique Word to get a really solid indication of sync.
|
|
*/
|
|
|
|
ofdm->uw_errors = 0;
|
|
|
|
for (i = 0; i < ofdm_nuwbits; i++) {
|
|
ofdm->uw_errors += ofdm->tx_uw[i] ^ rx_uw[i];
|
|
}
|
|
|
|
/*
|
|
* during trial sync we don't tolerate errors so much, we look
|
|
* for 3 consecutive frames with low error rate to confirm sync
|
|
*/
|
|
|
|
if (ofdm->sync_state == trial) {
|
|
if (ofdm->uw_errors > 2) {
|
|
/* if we exceed thresh stay in trial sync */
|
|
|
|
ofdm->sync_counter++;
|
|
ofdm->frame_count = 0;
|
|
}
|
|
|
|
if (ofdm->sync_counter == 2) {
|
|
/* if we get two bad frames drop sync and start again */
|
|
|
|
next_state = search;
|
|
ofdm->sync_state_interleaver = search;
|
|
}
|
|
|
|
if (ofdm->frame_count == 4) {
|
|
/* three good frames, sync is OK! */
|
|
|
|
next_state = synced;
|
|
}
|
|
}
|
|
|
|
/* once we have synced up we tolerate a higher error rate to wait out fades */
|
|
|
|
if (ofdm->sync_state == synced) {
|
|
if (ofdm->uw_errors > 2) {
|
|
ofdm->sync_counter++;
|
|
} else {
|
|
ofdm->sync_counter = 0;
|
|
}
|
|
|
|
if ((ofdm->sync_mode == autosync) && (ofdm->sync_counter == 12)) {
|
|
/* run of consecutive bad frames ... drop sync */
|
|
|
|
next_state = search;
|
|
ofdm->sync_state_interleaver = search;
|
|
}
|
|
}
|
|
}
|
|
|
|
ofdm->last_sync_state = ofdm->sync_state;
|
|
ofdm->last_sync_state_interleaver = ofdm->sync_state_interleaver;
|
|
ofdm->sync_state = next_state;
|
|
}
|
|
|
|
/*---------------------------------------------------------------------------* \
|
|
|
|
FUNCTIONS...: ofdm_set_sync
|
|
AUTHOR......: David Rowe
|
|
DATE CREATED: May 2018
|
|
|
|
Operator control of sync state machine. This mode is required to
|
|
acquire sync up at very low SNRS. This is difficult to implement,
|
|
for example we may get a false sync, or the state machine may fall
|
|
out of sync by mistake during a long fade.
|
|
|
|
So with this API call we allow some operator assistance.
|
|
|
|
Ensure this is called in the same thread as ofdm_sync_state_machine().
|
|
|
|
\*---------------------------------------------------------------------------*/
|
|
|
|
void ofdm_set_sync(struct OFDM *ofdm, Sync sync_cmd) {
|
|
assert(ofdm != NULL);
|
|
|
|
switch (sync_cmd) {
|
|
case unsync:
|
|
/*
|
|
* force manual unsync, in case operator detects false sync,
|
|
* which will cause sync state machine to have another go at sync
|
|
*/
|
|
ofdm->sync_state = search;
|
|
ofdm->sync_state_interleaver = search;
|
|
break;
|
|
case autosync:
|
|
/* normal operating mode - sync state machine decides when to unsync */
|
|
|
|
ofdm->sync_mode = autosync;
|
|
break;
|
|
case manualsync:
|
|
/*
|
|
* allow sync state machine to sync, but not to unsync, the
|
|
* operator will decide that manually
|
|
*/
|
|
ofdm->sync_mode = manualsync;
|
|
break;
|
|
default:
|
|
assert(0);
|
|
}
|
|
}
|
|
|
|
/*---------------------------------------------------------------------------*\
|
|
|
|
FUNCTION....: ofdm_get_demod_stats()
|
|
AUTHOR......: David Rowe
|
|
DATE CREATED: May 2018
|
|
|
|
Fills stats structure with a bunch of demod information.
|
|
|
|
\*---------------------------------------------------------------------------*/
|
|
|
|
void ofdm_get_demod_stats(struct OFDM *ofdm, struct MODEM_STATS *stats) {
|
|
int c, r;
|
|
|
|
stats->Nc = ofdm_nc;
|
|
assert(stats->Nc <= MODEM_STATS_NC_MAX);
|
|
|
|
float snr_est = 10.0f * log10f((0.1f + (ofdm->sig_var / ofdm->noise_var)) * ofdm_nc * ofdm_rs / 3000.0f);
|
|
float total = ofdm->frame_count * ofdm_samplesperframe;
|
|
|
|
stats->snr_est = 0.9f * stats->snr_est + 0.1f * snr_est;
|
|
stats->sync = ((ofdm->sync_state == synced) || (ofdm->sync_state == trial));
|
|
stats->foff = ofdm->foff_est_hz;
|
|
stats->rx_timing = ofdm->timing_est;
|
|
stats->clock_offset = 0;
|
|
|
|
if (total != 0.0f) {
|
|
stats->clock_offset = ofdm->clock_offset_counter / total;
|
|
}
|
|
|
|
stats->sync_metric = ofdm->timing_mx;
|
|
|
|
assert(ofdm_rowsperframe < MODEM_STATS_NR_MAX);
|
|
stats->nr = ofdm_rowsperframe;
|
|
|
|
for (c = 0; c < ofdm_nc; c++) {
|
|
for (r = 0; r < ofdm_rowsperframe; r++) {
|
|
std::complex<float> rot = ofdm->rx_np[r * c] * cmplx(ROT45);
|
|
|
|
stats->rx_symbols[r][c].real = std::real(rot);
|
|
stats->rx_symbols[r][c].imag = std::imag(rot);
|
|
}
|
|
}
|
|
}
|
|
|
|
/* Assemble modem frame of bits from UW, payload bits, and txt bits */
|
|
|
|
void ofdm_assemble_modem_frame(struct OFDM *ofdm, uint8_t modem_frame[], uint8_t payload_bits[], uint8_t txt_bits[]) {
|
|
int b, t;
|
|
|
|
int p = 0;
|
|
int u = 0;
|
|
|
|
for (b = 0; b < (ofdm_bitsperframe - ofdm_ntxtbits); b++) {
|
|
if ((u < ofdm_nuwbits) && (b == uw_ind[u])) {
|
|
modem_frame[b] = ofdm->tx_uw[u++];
|
|
} else {
|
|
modem_frame[b] = payload_bits[p++];
|
|
}
|
|
}
|
|
|
|
assert(u == ofdm_nuwbits);
|
|
assert(p == (ofdm_bitsperframe - ofdm_nuwbits - ofdm_ntxtbits));
|
|
|
|
for (t = 0; b < ofdm_bitsperframe; b++, t++) {
|
|
modem_frame[b] = txt_bits[t];
|
|
}
|
|
|
|
assert(t == ofdm_ntxtbits);
|
|
}
|
|
|
|
/* Assemble modem frame from UW, payload symbols, and txt bits */
|
|
|
|
void ofdm_assemble_modem_frame_symbols(std::complex<float> modem_frame[], COMP payload_syms[], uint8_t txt_bits[]) {
|
|
std::complex<float> *payload = (std::complex<float> *) &payload_syms[0]; // complex has same memory layout
|
|
int Nsymsperframe = ofdm_bitsperframe / ofdm_bps;
|
|
int Nuwsyms = ofdm_nuwbits / ofdm_bps;
|
|
int Ntxtsyms = ofdm_ntxtbits / ofdm_bps;
|
|
int dibit[2];
|
|
int s, t;
|
|
|
|
int p = 0;
|
|
int u = 0;
|
|
|
|
for (s = 0; s < Nsymsperframe - Ntxtsyms; s++) {
|
|
if ((u < Nuwsyms) && (s == uw_ind_sym[u])) {
|
|
modem_frame[s] = tx_uw_syms[u++];
|
|
} else {
|
|
modem_frame[s] = payload[p++];
|
|
}
|
|
}
|
|
|
|
assert(u == Nuwsyms);
|
|
assert(p == (Nsymsperframe - Nuwsyms - Ntxtsyms));
|
|
|
|
for (t = 0; s < Nsymsperframe; s++, t += ofdm_bps) {
|
|
dibit[0] = txt_bits[t + 1] & 0x1;
|
|
dibit[1] = txt_bits[t] & 0x1;
|
|
modem_frame[s] = qpsk_mod(dibit);
|
|
}
|
|
|
|
assert(t == ofdm_ntxtbits);
|
|
}
|
|
|
|
void ofdm_disassemble_modem_frame(struct OFDM *ofdm, uint8_t rx_uw[],
|
|
COMP codeword_syms[],
|
|
float codeword_amps[],
|
|
short txt_bits[]) {
|
|
std::complex<float> *codeword = (std::complex<float> *) &codeword_syms[0]; // complex has same memory layout
|
|
int Nsymsperframe = ofdm_bitsperframe / ofdm_bps;
|
|
int Nuwsyms = ofdm_nuwbits / ofdm_bps;
|
|
int Ntxtsyms = ofdm_ntxtbits / ofdm_bps;
|
|
int dibit[2];
|
|
int s, t;
|
|
|
|
int p = 0;
|
|
int u = 0;
|
|
|
|
for (s = 0; s < (Nsymsperframe - Ntxtsyms); s++) {
|
|
if ((u < Nuwsyms) && (s == uw_ind_sym[u])) {
|
|
qpsk_demod(ofdm->rx_np[s], dibit);
|
|
|
|
rx_uw[ofdm_bps * u ] = dibit[1];
|
|
rx_uw[ofdm_bps * u + 1] = dibit[0];
|
|
u++;
|
|
} else {
|
|
codeword[p] = ofdm->rx_np[s];
|
|
codeword_amps[p] = ofdm->rx_amp[s];
|
|
p++;
|
|
}
|
|
}
|
|
|
|
assert(u == Nuwsyms);
|
|
assert(p == (Nsymsperframe - Nuwsyms - Ntxtsyms));
|
|
|
|
for (t = 0; s < Nsymsperframe; s++, t += ofdm_bps) {
|
|
qpsk_demod(ofdm->rx_np[s], dibit);
|
|
|
|
txt_bits[t ] = dibit[1];
|
|
txt_bits[t + 1] = dibit[0];
|
|
}
|
|
|
|
assert(t == ofdm_ntxtbits);
|
|
}
|
|
|
|
|
|
/*
|
|
* Pseudo-random number generator that we can implement in C with
|
|
* identical results to Octave. Returns an unsigned int between 0
|
|
* and 32767. Used for generating test frames of various lengths.
|
|
*/
|
|
|
|
void ofdm_rand(uint16_t r[], int n) {
|
|
uint64_t seed = 1;
|
|
int i;
|
|
|
|
for (i = 0; i < n; i++) {
|
|
seed = (1103515245l * seed + 12345) % 32768;
|
|
r[i] = seed;
|
|
}
|
|
}
|
|
|
|
|
|
void ofdm_generate_payload_data_bits(uint8_t payload_data_bits[], int data_bits_per_frame) {
|
|
uint16_t *r = new uint16_t[data_bits_per_frame];
|
|
int i;
|
|
|
|
/* construct payload data bits */
|
|
|
|
ofdm_rand(r, data_bits_per_frame);
|
|
|
|
for(i=0; i<data_bits_per_frame; i++) {
|
|
payload_data_bits[i] = r[i] > 16384;
|
|
}
|
|
|
|
delete[] r;
|
|
}
|
|
|
|
void ofdm_print_info(struct OFDM *ofdm) {
|
|
const char *syncmode[] = {
|
|
"unsync",
|
|
"autosync",
|
|
"manualsync"
|
|
};
|
|
|
|
fprintf(stderr, "ofdm->foff_est_gain = %g\n", (double)ofdm->foff_est_gain);
|
|
fprintf(stderr, "ofdm->foff_est_hz = %g\n", (double)ofdm->foff_est_hz);
|
|
fprintf(stderr, "ofdm->timing_mx = %g\n", (double)ofdm->timing_mx);
|
|
fprintf(stderr, "ofdm->coarse_foff_est_hz = %g\n", (double)ofdm->coarse_foff_est_hz);
|
|
fprintf(stderr, "ofdm->timing_norm = %g\n", (double)ofdm->timing_norm);
|
|
fprintf(stderr, "ofdm->sig_var = %g\n", (double)ofdm->sig_var);
|
|
fprintf(stderr, "ofdm->noise_var = %g\n", (double)ofdm->noise_var);
|
|
fprintf(stderr, "ofdm->mean_amp = %g\n", (double)ofdm->mean_amp);
|
|
fprintf(stderr, "ofdm->clock_offset_counter = %d\n", ofdm->clock_offset_counter);
|
|
fprintf(stderr, "ofdm->verbose = %d\n", ofdm->verbose);
|
|
fprintf(stderr, "ofdm->sample_point = %d\n", ofdm->sample_point);
|
|
fprintf(stderr, "ofdm->timing_est = %d\n", ofdm->timing_est);
|
|
fprintf(stderr, "ofdm->timing_valid = %d\n", ofdm->timing_valid);
|
|
fprintf(stderr, "ofdm->nin = %d\n", ofdm->nin);
|
|
fprintf(stderr, "ofdm->uw_errors = %d\n", ofdm->uw_errors);
|
|
fprintf(stderr, "ofdm->sync_counter = %d\n", ofdm->sync_counter);
|
|
fprintf(stderr, "ofdm->frame_count = %d\n", ofdm->frame_count);
|
|
fprintf(stderr, "ofdm->sync_start = %s\n", ofdm->sync_start ? "true" : "false");
|
|
fprintf(stderr, "ofdm->sync_end = %s\n", ofdm->sync_end ? "true" : "false");
|
|
fprintf(stderr, "ofdm->sync_mode = %s\n", syncmode[ofdm->sync_mode]);
|
|
fprintf(stderr, "ofdm->frame_count_interleaver = %d\n", ofdm->frame_count_interleaver);
|
|
fprintf(stderr, "ofdm->timing_en = %s\n", ofdm->timing_en ? "true" : "false");
|
|
fprintf(stderr, "ofdm->foff_est_en = %s\n", ofdm->foff_est_en ? "true" : "false");
|
|
fprintf(stderr, "ofdm->phase_est_en = %s\n", ofdm->phase_est_en ? "true" : "false");
|
|
fprintf(stderr, "ofdm->tx_bpf_en = %s\n", ofdm->tx_bpf_en ? "true" : "false");
|
|
};
|
|
|
|
} // FreeDV
|