Edits to section 1 and corrections to n-k+1 stuff.

git-svn-id: svn+ssh://svn.code.sf.net/p/wsjt/wsjt/branches/wsjtx@6321 ab8295b8-cf94-4d9e-aec4-7959e3be5d79

lib/ftrsd/ftrsd_paper/fig_wer3.gnuplot

@@ -1,19 +1,17 @@
-# gnuplot script for AWGN vs Rayleigh figure
+# gnuplot script for "Percent copy" figure
+# run: gnuplot fig_wer3.gnuplot
+# then: pdflatex fig_wer3.tex
 #
-set term epslatex standalone size 16cm,8cm
+set term epslatex standalone size 6in,6*2/3in
 set output "fig_wer3.tex"
-set xlabel "$E_s/N_o$ (dB)"
-set ylabel "WER"
+set xlabel "SNR in 2500 Hz Bandwidth (dB)"
+set ylabel "Percent Copy"
 set style func linespoints
-set key on top outside nobox
+set key off
 set tics in
 set mxtics 2
 set mytics 10 
 set grid
-set logscale y
-#set format y "10^{%L}"
-plot "ftdata-1000-rf.dat" using ($1+29.7):(1-$2) every ::1 with linespoints pt 7 title "FT-1K-RF", \
-"ftdata-10000-rf.dat" using ($1+29.7):(1-$2) every ::1 with linespoints pt 7 title "FT-10K-RF", \
-"bmdata-rf.dat" using ($1+29.7):(1-$2) every ::1 with linespoints pt 5 title 'BM-RF', \
-"ftdata-10000.dat" using ($1+29.7):(1-$2) every ::1 with linespoints pt 7 title 'FT-10K-AWGN', \
-"bmdata.dat" using ($1+29.7):(1-$2) with linespoints pt 5 title 'BM-AWGN'
+plot [-27:-22] [0:110] \
+     "ftdata-100000.dat" using 1:(100*$3) with linespoints lt 1 pt 7 title 'FT-100K', \
+     "ftdata-100000.dat" using 1:(100*$2) with linespoints lt 1 pt 7 title 'FT-100K'

lib/ftrsd/ftrsd_paper/ftdata-10000.dat

@@ -1,9 +1,9 @@
  snr  psuccess  ntrials 10000 r6315
 -26.5 0.004 x 
 -26.0 0.03  x
--25.5 0.107
--25.0 0.353
--24.5 0.653
+-25.5 0.107 0.19
+-25.0 0.353 0.40 (2)
+-24.5 0.653 
 -24.0 0.913
 -23.5 0.983
 -23.0 0.9987 x

lib/ftrsd/ftrsd_paper/ftdata-100000.dat

@@ -2,9 +2,9 @@ snr psuccess 100000 trials r6315
 -27.0 0.0 x
 -26.5 0.007 x
 -26.0 0.057 
--25.5 0.207 
+-25.5 0.207 0.35
 -25.0 0.531 0.67
--24.5 0.822 
+-24.5 0.822 0.878
 -24.0 0.953
 -23.5 0.99423 
 -23.0 0.99967  302956/303056

lib/ftrsd/ftrsd_paper/ftrsd.lyx

@@ -127,18 +127,27 @@ The following paragraph may not belong here - feel free to get rid of it,
 \end_layout
 
 \begin_layout Standard
-The Franke-Taylor (FT) decoder described herein is a probabilistic list-decoder
- that has been optimized for use in the short block-length, low-rate Reed-Solomo
-n code used in JT65.
- The particular approach that we have developed has a number of desirable
+The Franke-Taylor (FT) decoder is a probabilistic list-decoder that we have
+ developed for use in the short block-length, low-rate Reed-Solomon code
+ used in JT65.
+ JT65 provides a unique sandbox for playing with decoding algorithms.
+ Several seconds are available for decoding a single 63-symbol message.
+ This is a long time! The luxury of essentially unlimited time allows us
+ to experiment with decoders that have high computational complexity.
+ The payoff is that we can extend the decoding threshold by many dB over
+ the hard-decision, Berlekamp-Massey decoder on a typical fading channel,
+ and by a meaningful amount over the KV decoder, long considered to be the
+ best available soft-decision decoder.
+ In addition to its excellent performance, the FT algorithm has other desirable
  properties, not the least of which is its conceptual simplicity.
- The decoding performance and complexity scale in a useful way, providing
- steadily increasing soft-decision decoding gain as a tunable computational
- complexity parameter is increased over more than 5 orders of magnitude.
- The fact that the algorithm requires a large number of independent decoding
- trials should also make it possible to obtain significant performance gains
- through parallelization.
- 
+ Decoding performance and complexity scale in a useful way, providing steadily
+ increasing soft-decision decoding gain as a tunable computational complexity
+ parameter is increased over more than 5 orders of magnitude.
+ This means that appreciable gain should be available from our decoder even
+ on very simple (and slow) computers.
+ On the other hand, because the algorithm requires a large number of independent
+ decoding trials, it should be possible to obtain significant performance
+ gains through parallelization on high-performance computers.
 \end_layout
 
 \begin_layout Section
@@ -378,14 +387,16 @@ probabilistic
  decoding methods 
 \begin_inset CommandInset citation
 LatexCommand cite
+after "Chapter 10"
 key "key-1"
 
 \end_inset
 
 .
- These algorithms generally involve some amount of educating guessing about
- which received symbols are in error.
- The guesses are informed by quality metrics, also known as 
+ Such algorithms involve some amount of educating guessing about which received
+ symbols are in error or, alternatively, about which received symbols are
+ correct.
+ The guesses are informed by 
 \begin_inset Quotes eld
 \end_inset
 
@@ -393,11 +404,11 @@ soft-symbol
 \begin_inset Quotes erd
 \end_inset
 
- metrics, associated with the received symbols.
+ quality metrics associated with the received symbols.
  To illustrate why it is absolutely essential to use such soft-symbol informatio
-n to identify symbols that are most likely to be in error it helps to consider
- what would happen if we tried to use completely random guesses, ignoring
- any available soft-symbol information.
+n in these algorithms it helps to consider what would happen if we tried
+ to use completely random guesses, ignoring any available soft-symbol informatio
+n.
 \end_layout
 
 \begin_layout Standard
@@ -997,11 +1008,11 @@ The correct JT65 codeword produces a value for
 
  bins containing both signal and noise power.
  Incorrect codewords have at most 
-\begin_inset Formula $k=12$
+\begin_inset Formula $k-1=11$
 \end_inset
 
  such bins and at least 
-\begin_inset Formula $n-k=51$
+\begin_inset Formula $n-k+1=52$
 \end_inset
 
  bins containing noise only.
@@ -1033,7 +1044,7 @@ d-deviation uncertainty range assumes Gaussian statistics.
 \begin_layout Standard
 \begin_inset Formula 
 \[
-u=\frac{n-k\pm\sqrt{n-k}}{n}+\frac{k\pm\sqrt{k}}{n}(1+y).
+u=\frac{n-k+1\pm\sqrt{n-k+1}}{n}+\frac{k-1\pm\sqrt{k-1}}{n}(1+y).
 \]
 
 \end_inset
@@ -1044,7 +1055,7 @@ For JT65 this expression evaluates to
 \begin_layout Standard
 \begin_inset Formula 
 \[
-u\approx1\pm0.13+(0.19\pm0.06)\, y.
+u\approx1\pm0.11+(0.17\pm0.05)\, y.
 \]
 
 \end_inset
@@ -1068,7 +1079,7 @@ As a specific example, consider signal strength
 \end_inset
 
 0.6, while incorrect codewords will give 
-\begin_inset Formula $u\approx2.0\pm0.3$
+\begin_inset Formula $u\approx1.7\pm0.3$
 \end_inset
 
  or less.