WSJT-X Developers,

I have been studying the WSJT-X source code to learn how it decodes FT8 signals 
to enhance my rather outdated (1980s) understanding of DSP and information 
theory.  There is one part of the source code that I can’t figure out and I was 
hoping that one of the WSJT-X developers could point me in the right direction.

The source code in question is lines 168 through 215 of lib/ft8/ft8b.f90 (Git 
tag wsjtx-x 2.1).  This source code appears to implement a “soft demapper” that 
takes groups of 1, 2 or 3 successive symbol observations and turns these into 
groups of 3, 6 or 9 log likelihood ratios that are subsequently consumed by one 
of the LDPC decoders.  As part of the demapping process, the Gray code 
permutation applied to symbols at the transmitter is removed.

Is there a textbook or specific journal/conference papers that describe how 
this demapper works?  I can figure out the algorithm being used, but I am 
looking for an explanation as to why that algorithm generates a good 
approximation to the LLR for FT8’s 8-GFSK modulation, and what specific channel 
impairments it is trying to deal with.

I was also wondering how the specific Gray code mapping in FT8 was chosen?  It 
is clearly not the “reflected binary code” that normally passes for a Gray 
code, so clearly it is something else that I don’t yet understand.

James (VK3JPK)



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