Restructure ftrsd, update WER data, delete some old files.

git-svn-id: svn+ssh://svn.code.sf.net/p/wsjt/wsjt/branches/wsjtx@6316 ab8295b8-cf94-4d9e-aec4-7959e3be5d79
This commit is contained in:
Steven Franke 2015-12-26 15:47:49 +00:00
parent 96a65b331d
commit f838755ae6
19 changed files with 289 additions and 121 deletions

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@ -13,8 +13,8 @@ set mxtics 2
set mytics 10 set mytics 10
set grid set grid
set logscale y set logscale y
plot [3:9] [1e-4:1] "bmdata.dat" using ($1+29.7):(1-$2) with linespoints pt 4 title 'BM', \ plot [3:9] [1e-4:1] "bmdata.dat" using ($1+29.66):(1-$2) with linespoints pt 4 title 'BM', \
"bmtheory25.dat" using 1:3 with linespoints pt 5 title 'theory25', \ "bmtheory25.dat" using 1:3 with linespoints pt 5 title 'theory25', \
"bmtheory40.dat" using 1:3 with linespoints pt 5 title 'theory40', \ "bmtheory40.dat" using 1:3 with linespoints pt 5 title 'theory40', \
"bmtheory43.dat" using 1:3 with linespoints pt 5 title 'theory43', \ "bmtheory43.dat" using 1:3 with linespoints pt 5 title 'theory43', \
"ftdata-100000.dat" using ($1+29.7):(1-$2) every ::1 with linespoints pt 4 title 'FT' "ftdata-100000.dat" using ($1+29.66):(1-$2) every ::1 with linespoints pt 4 title 'FT'

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@ -13,7 +13,11 @@ set mxtics 2
set mytics 10 set mytics 10
set grid set grid
set logscale y set logscale y
plot [3:9] "ftdata-100000.dat" using ($1+29.1):(1-$2) with linespoints pt 7 title 'FT-100K', \ plot [3:7] "ftdata-100000.dat" using ($1+29.1):(1-$2) with linespoints lt 1 pt 7 title 'FT-100K', \
"kvasd-11999.dat" using ($1+29.1):(1-$2) with linespoints pt 8 title 'KV-11.999', \ "ftdata-10000.dat" using ($1+29.1):(1-$2) with linespoints lt 1 pt 7 title 'FT-10K', \
"ftdata-1000.dat" using ($1+29.1):(1-$2) with linespoints lt 1 pt 7 title 'FT-1K', \
"kvasd-8.dat" using ($1+29.1):(1-$2) with linespoints lt 2 pt 8 title 'KV-8', \
"kvasd-12.dat" using ($1+29.1):(1-$2) with linespoints lt 2 pt 8 title 'KV-12', \
"kvasd-15.dat" using ($1+29.1):(1-$2) with linespoints lt 2 pt 8 title 'KV-15', \
"bmdata.dat" using ($1+29.1):(1-$2) with linespoints pt 7 title 'BM', \ "bmdata.dat" using ($1+29.1):(1-$2) with linespoints pt 7 title 'BM', \
"wer.lab" with labels "wer.lab" with labels

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@ -1,31 +1,24 @@
# gnuplot script for "word error rate" figure # gnuplot script for "Percent copy" figure
# run: gnuplot fig_wer2.gnuplot # run: gnuplot fig_wer2.gnuplot
# then: pdflatex fig_wer2.tex # then: pdflatex fig_wer2.tex
# #
set term epslatex standalone size 16cm,10cm set term epslatex standalone size 5in,5*2/3in
set output "fig_wer2.tex" set output "fig_wer2.tex"
set xlabel "$E_s/N_o$ (dB)" set xlabel "SNR in 2500 Hz Bandwidth (dB)"
set x2label "SNR in 2500 Hz (dB)" set ylabel "Percent Copy"
set ylabel "WER"
#set autoscale xfix
#set autoscale x2fix
set style func linespoints set style func linespoints
set key on top outside nobox set key off
set tics in set tics in
set mxtics 2 set mxtics 2
set mytics 10 set mytics 10
set grid ytics set grid
set logscale y plot [-27:-22] [0:110] \
set x2tics out "ftdata-100000.dat" using 1:(100*$2) with linespoints lt 1 pt 7 title 'FT-100K', \
set xtics nomirror "ftdata-10000.dat" using 1:(100*$2) with linespoints lt 1 pt 7 title 'FT-10K', \
set mx2tics 2 "ftdata-1000.dat" using 1:(100*$2) with linespoints lt 1 pt 7 title 'FT-1K', \
#set xrange [3:13] "ftdata-100.dat" using 1:(100*$2) with linespoints lt 1 pt 7 title 'FT-100', \
#set x2range [(3-29.7):(13-29.7)] "kvasd-8.dat" using 1:(100*$2) with linespoints lt 2 pt 8 title 'KV-8', \
set xrange [4:7.5] "kvasd-12.dat" using 1:(100*$2) with linespoints lt 2 pt 8 title 'KV-12', \
set x2range [(4-29.7):(7.5-29.7)] "kvasd-15.dat" using 1:(100*$2) with linespoints lt 2 pt 8 title 'KV-15', \
set yrange [0.001:1.0] "bmdata.dat" using 1:(100*$2) with linespoints pt 11 title 'BM', \
plot "ftdata-1000-rf.dat" using ($1+29.7):(1-$2) every ::1 with linespoints pt 4 title "FT-1K-RF", \ "wer2.lab" with labels
"ftdata-100-rf.dat" using ($1+29.7):(1-$2) every ::1 with linespoints pt 5 title 'FT-100-RF', \
"kvasd-7999-rf.dat" using ($1+29.7):(1-$2) every ::1 with linespoints pt 6 title 'KV-8-RF', \
"kvasd-11999-rf.dat" using 1:(1-$2) every ::1 with linespoints pt 7 title 'KV-12-RF' axes x2y1
#"bmdata-rf.dat" using 1:(1-$2) every ::1 with linespoints pt 8 title 'BM-RF' axes x2y1

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@ -1,9 +0,0 @@
fspread0 0.2, FT (ntrials=100)
-26.0 0.0072
-25.5 0.048
-25.0 0.17
-24.5 0.42
-24.0 0.68
-23.5 0.89
-23.0 0.979
-22.5 0.9936

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@ -1,9 +0,0 @@
fspread0 0.2, FT (ntrials=1000)
-26.0 0.
-25.5 0.
-25.0 0.21
-24.5 0.41
-24.0 0.64
-23.5 0.81
-23.0 0.89
-22.5 0.95

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@ -1,8 +1,9 @@
snr psuccess ntrials 1000, ntotal<76, nhard<44 snr psuccess ntrials 1000, r6315
-25.5 0.089 -26.0 0.010
-25.0 0.23 -25.5 0.052
-24.5 0.52 -25.0 0.22
-24.5 0.51
-24.0 0.80 -24.0 0.80
-23.5 0.95 -23.5 0.956
-23.0 0.9958 -23.0 0.9958 x

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@ -1,10 +1,10 @@
snr psuccess ntrials 10000, ntotal<76, nhard<44 snr psuccess ntrials 10000 r6315
-26.5 0.004 x -26.5 0.004 x
-26.0 0.03 -26.0 0.03 x
-25.5 0.13 -25.5 0.107
-25.0 0.38 -25.0 0.353
-24.5 0.71 -24.5 0.653
-24.0 0.91 -24.0 0.913
-23.5 0.99 -23.5 0.983
-23.0 0.9987 x -23.0 0.9987 x

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@ -1,11 +1,12 @@
snr psuccess 100000 trials, ntotal<76, nhard<44 snr psuccess 100000 trials r6315
-27.0 0.0 -27.0 0.0 x
-26.5 0.007 -26.5 0.007 x
-26.0 0.04 -26.0 0.057
-25.5 0.16 -25.5 0.207
-25.0 0.41 -25.0 0.531
-24.5 0.75 -24.5 0.822
-24.0 0.93700 -24.0 0.953
-23.5 0.99000 -23.5 0.99423
-23.0 0.99954 -23.0 0.99967 302956/303056

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@ -2,7 +2,7 @@
\lyxformat 474 \lyxformat 474
\begin_document \begin_document
\begin_header \begin_header
\textclass paper \textclass article
\use_default_options true \use_default_options true
\maintain_unincluded_children false \maintain_unincluded_children false
\language english \language english
@ -75,8 +75,7 @@
\begin_body \begin_body
\begin_layout Title \begin_layout Title
A stochastic successive erasures soft-decision decoder for the JT65 (63,12) Open Source Soft-Decision Decoder for the JT65 (63,12) Reed-Solomon code
Reed-Solomon code
\end_layout \end_layout
\begin_layout Author \begin_layout Author
@ -104,7 +103,27 @@ y (KV) algebraic soft-decision decoder, licensed to K1JT and implemented
\end_layout \end_layout
\begin_layout Section \begin_layout Section
Introduction \begin_inset CommandInset label
LatexCommand label
name "sec:Introduction-and-Motivation"
\end_inset
Introduction and Motivation
\end_layout
\begin_layout Standard
To be written...
\end_layout
\begin_layout Section
\begin_inset CommandInset label
LatexCommand label
name "sec:JT65-messages-and"
\end_inset
JT65 messages and Reed Solomon Codes
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
@ -303,11 +322,11 @@ soft
\begin_layout Section \begin_layout Section
\begin_inset CommandInset label \begin_inset CommandInset label
LatexCommand label LatexCommand label
name "sec:You've-got-to" name "sec:Statistical Framework"
\end_inset \end_inset
Do I feel lucky? Statistical Framework
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
@ -1100,7 +1119,41 @@ An acceptable codeword with
\end_layout \end_layout
\begin_layout Section \begin_layout Section
Theory and Simulations \begin_inset CommandInset label
LatexCommand label
name "sec:Hinted-Decoding"
\end_inset
Hinted Decoding
\end_layout
\begin_layout Standard
Write this...
\end_layout
\begin_layout Section
\begin_inset CommandInset label
LatexCommand label
name "sec:Implementation-in-WSJT-X"
\end_inset
Implementation in WSJT-X
\end_layout
\begin_layout Standard
Write this...
\end_layout
\begin_layout Section
\begin_inset CommandInset label
LatexCommand label
name "sec:Theory,-Simulation,-and"
\end_inset
Decoder Performance Evaluation: Simulations and Real Data
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
@ -1341,7 +1394,7 @@ Number of trials needed to decode a received word versus Hamming distance
\end_layout \end_layout
\begin_layout Section \begin_layout Subsection
Comparison with Berlekamp-Massey and Koetter-Vardy Comparison with Berlekamp-Massey and Koetter-Vardy
\end_layout \end_layout
@ -1518,15 +1571,6 @@ Deep Search
\end_layout \end_layout
\begin_layout Section
Hinted Decoding
\end_layout
\begin_layout Standard
...
Still to come ...
\end_layout
\begin_layout Section \begin_layout Section
Summary Summary
\end_layout \end_layout
@ -1619,5 +1663,159 @@ key "key-5"
Berlekamp-Massey decoder written by Phil Karn, http://www.ka9q.net/code/fec/ Berlekamp-Massey decoder written by Phil Karn, http://www.ka9q.net/code/fec/
\end_layout \end_layout
\begin_layout Section
\start_of_appendix
Signal to Noise Ratios
\end_layout
\begin_layout Standard
The signal to noise ratio in a bandwidth,
\begin_inset Formula $B$
\end_inset
, that is at least as large as the bandwidth occupied by the signal is:
\begin_inset Formula
\begin{equation}
SNR_{B}=\frac{P_{s}}{N_{o}B}\label{eq:SNR}
\end{equation}
\end_inset
where
\begin_inset Formula $P_{s}$
\end_inset
is the signal power,
\begin_inset Formula $N_{o}$
\end_inset
is one-sided noise power spectral density, and
\begin_inset Formula $B$
\end_inset
is the bandwidth in Hz.
In amateur radio applications, digital modes are often compared based on
the SNR defined in a 2.5 kHz reference bandwidth,
\begin_inset Formula $SNR_{2.5\,\mathrm{kHz}}$
\end_inset
.
\end_layout
\begin_layout Standard
In the professional literature, decoder performance is characterized in
terms of
\begin_inset Formula $E_{b}/N_{o}$
\end_inset
, the ratio of the energy collected per information bit,
\begin_inset Formula $E_{b}$
\end_inset
, to the one-sided noise power spectral density,
\begin_inset Formula $N_{o}$
\end_inset
, or in terms of
\begin_inset Formula $E_{s}/N_{o}$
\end_inset
, the ratio of the energy collected per received symbol,
\begin_inset Formula $E_{s}$
\end_inset
, and
\begin_inset Formula $N_{o}$
\end_inset
.
Denote the duration of a channel symbol by
\begin_inset Formula $\tau_{s}$
\end_inset
(for JT65,
\begin_inset Formula $\tau_{s}=0.375\,\mathrm{s}$
\end_inset
).
Signal power is related to the energy per symbol by
\begin_inset Formula
\begin{equation}
P_{s}=E_{s}/\tau_{s},\label{eq:signal_power}
\end{equation}
\end_inset
The total energy in a received JT65 message consisting of
\begin_inset Formula $n=63$
\end_inset
channel symbols is
\begin_inset Formula $63E_{s}$
\end_inset
.
The energy collected for each of the 72 bits of information conveyed by
the message is then
\begin_inset Formula
\begin{equation}
E_{b}=\frac{63E_{s}}{72}=0.875E_{s.}\label{eq:Eb_Es}
\end{equation}
\end_inset
Using equations (
\begin_inset CommandInset ref
LatexCommand ref
reference "eq:SNR"
\end_inset
)-(
\begin_inset CommandInset ref
LatexCommand ref
reference "eq:Eb_Es"
\end_inset
),
\begin_inset Formula $SNR_{2.5\,\mathrm{kHz}}$
\end_inset
can be written in terms of
\begin_inset Formula $E_{b}/N_{o}$
\end_inset
or
\begin_inset Formula $E_{s}/N_{o}$
\end_inset
:
\begin_inset Formula
\[
SNR_{2.5\,\mathrm{kHz}}=1.08\times10^{-3}\frac{E_{s}}{N_{o}}=1.23\times10^{-3}\frac{E_{b}}{N_{o}}.
\]
\end_inset
\end_layout
\begin_layout Standard
If all quantities are expressed in dB, then:
\end_layout
\begin_layout Standard
\begin_inset Formula
\[
SNR_{2.5\,\mathrm{kHz}}=(E_{b}/N_{o})_{\mathrm{dB}}-29.66\,\mathrm{dB}=(E_{s}/N_{o})_{\mathrm{dB}}-29.10\,\mathrm{dB}.
\]
\end_inset
\end_layout
\end_body \end_body
\end_document \end_document

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@ -1,9 +0,0 @@
kvasd with xlambda=11.999 and fspread=0.2
-26.0 0.020
-25.5 0.089
-25.0 0.26 5:12
-24.5 0.57 5:23
-24.0 0.83 5:30
-23.5 0.93
-23.0 0.986
-22.5 0.9952

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@ -1,8 +0,0 @@
kvasd with xlambda=11.999
-26.0 0.013
-25.5 0.07
-25.0 0.24
-24.5 0.61
-24.0 0.86
-23.5 0.98
-23.0 0.9987

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@ -0,0 +1,8 @@
kvasd with xlambda=12.000
-26.0 0.017
-25.5 0.085
-25.0 0.282
-24.5 0.600
-24.0 0.865
-23.5 0.975
-23.0 0.9988

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@ -0,0 +1,9 @@
kvasd with xlambda=15.000
-26.5 0.0023 (based on 55 good in 23650 attempts)
-26.0 0.023
-25.5 0.090
-25.0 0.309
-24.5 0.615
-24.0 0.879
-23.5 0.978
-23.0 0.99918 (based on 100 missed in 122281 attempts!)

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@ -1,8 +0,0 @@
kvasd with xlambda=7.999 and fspread=0.2
-26.0 0.013
-25.5 0.066
-25.0 0.24
-24.5 0.52
-24.0 0.79
-23.5 0.934
-23.0 0.981

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@ -1,8 +0,0 @@
kvasd with xlambda=7.999 AWGN
-26.0 0.000
-25.5 0.00
-25.0 0.00
-24.5 0.00
-24.0 0.00
-23.5 0.00
-23.0 0.9979

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@ -0,0 +1,8 @@
kvasd with xlambda=8 AWGN
-26.0 0.008
-25.5 0.061
-25.0 0.233
-24.5 0.539
-24.0 0.847
-23.5 0.966
-23.0 0.9980

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@ -1,3 +0,0 @@
5.2 0.018 FT
5.6 0.05 KV
7.5 0.05 BM