w4kek/WSJT-X
1
0
Fork 0
mirror of https://github.com/saitohirga/WSJT-X.git synced 2024-12-01 08:39:03 -05:00
Code Issues Packages Projects Releases Wiki Activity

Small tweaks to ftrsd paper - sections 1-6 seem to be in pretty good shape.

Browse Source 
git-svn-id: svn+ssh://svn.code.sf.net/p/wsjt/wsjt/branches/wsjtx@6374 ab8295b8-cf94-4d9e-aec4-7959e3be5d79
This commit is contained in:
Steven Franke 2016-01-09 16:36:30 +00:00
parent 500ff59ce9
commit 31065dba14
1 changed files with 15 additions and 10 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

25
lib/ftrsd/ftrsd_paper/ftrsd.lyx
View File

@ -1276,7 +1276,7 @@ Make independent stochastic decisions about whether to erase each symbol
\end_layout \end_layout
\begin_layout Enumerate \begin_layout Enumerate
Attempt errors-and-erasures decoding by using the BM algorithm and the set Attempt errors-and-erasures decoding using the BM algorithm and the set
of erasures determined in step 2. of erasures determined in step 2.
If the BM decoder produces a candidate codeword, go to step 5. If the BM decoder produces a candidate codeword, go to step 5.
\end_layout \end_layout
@ -1752,7 +1752,7 @@ reference "fig:bodide"
also shows results calculated from theoretical probability distributions also shows results calculated from theoretical probability distributions
for comparison with the BM results. for comparison with the BM results.
The simulated BM results agree with theory to within about 0.1 dB. The simulated BM results agree with theory to within about 0.1 dB.
This differences are caused by small errors in the estimates of time and The differences are caused by small errors in the estimates of time and
frequency offset of the received signal in the simulated data. frequency offset of the received signal in the simulated data.
Such Such
\begin_inset Quotes eld \begin_inset Quotes eld
@ -2423,7 +2423,7 @@ The signal to noise ratio in a bandwidth,
, that is at least as large as the bandwidth occupied by the signal is: , that is at least as large as the bandwidth occupied by the signal is:
\begin_inset Formula \begin_inset Formula
\begin{equation} \begin{equation}
\mathrm{SNR}_{B}=\frac{P_{s}}{N_{o}B}\label{eq:SNR} \mathrm{SNR}_{B}=\frac{P_{s}}{N_{0}B}\label{eq:SNR}
\end{equation} \end{equation}
\end_inset \end_inset
@ -2432,8 +2432,8 @@ where
\begin_inset Formula $P_{s}$ \begin_inset Formula $P_{s}$
\end_inset \end_inset
is the signal power (W), is the average signal power (W),
\begin_inset Formula $N_{o}$ \begin_inset Formula $N_{0}$
\end_inset \end_inset
is one-sided noise power spectral density (W/Hz), and is one-sided noise power spectral density (W/Hz), and
@ -2453,7 +2453,7 @@ where
\begin_layout Standard \begin_layout Standard
In the professional literature, decoder performance is characterized in In the professional literature, decoder performance is characterized in
terms of terms of
\begin_inset Formula $E_{b}/N_{o}$ \begin_inset Formula $E_{b}/N_{0}$
\end_inset \end_inset
, the ratio of the energy collected per information bit, , the ratio of the energy collected per information bit,
@ -2461,7 +2461,7 @@ In the professional literature, decoder performance is characterized in
\end_inset \end_inset
, to the one-sided noise power spectral density, , to the one-sided noise power spectral density,
\begin_inset Formula $N_{o}$ \begin_inset Formula $N_{0}$
\end_inset \end_inset
. .
@ -2474,7 +2474,12 @@ In the professional literature, decoder performance is characterized in
\end_inset \end_inset
). ).
Signal power is related to the energy per symbol by JT65 signals have constant envelope, so the average signal power is related
to the energy per symbol,
\begin_inset Formula $E_{s}$
\end_inset
, by
\begin_inset Formula \begin_inset Formula
\begin{equation} \begin{equation}
P_{s}=E_{s}/\tau_{s}.\label{eq:signal_power} P_{s}=E_{s}/\tau_{s}.\label{eq:signal_power}
@ -2525,7 +2530,7 @@ reference "eq:Eb_Es"
: :
\begin_inset Formula \begin_inset Formula
\begin{equation} \begin{equation}
\mathrm{SNR}_{2500}=1.23\times10^{-3}\frac{E_{b}}{N_{o}}.\label{eq:SNR2500} \mathrm{SNR}_{2500}=1.23\times10^{-3}\frac{E_{b}}{N_{0}}.\label{eq:SNR2500}
\end{equation} \end{equation}
\end_inset \end_inset
@ -2536,7 +2541,7 @@ If all quantities are expressed in dB, then:
\begin_layout Standard \begin_layout Standard
\begin_inset Formula \begin_inset Formula
\begin{equation} \begin{equation}
\mathrm{SNR}_{2500}=(E_{b}/N_{o})_{\mathrm{dB}}-29.1\,\mathrm{dB}=(E_{s}/N_{0})_{\mathrm{dB}}-29.7\,\mathrm{dB}.\label{eq:SNR_all_types} \mathrm{SNR}_{2500}=(E_{b}/N_{0})_{\mathrm{dB}}-29.1\,\mathrm{dB}=(E_{s}/N_{0})_{\mathrm{dB}}-29.7\,\mathrm{dB}.\label{eq:SNR_all_types}
\end{equation} \end{equation}
\end_inset \end_inset