I previously asked for the tone frequencies and received no answer.
So today I calculated them using this existing email.

Using this email and the quotations:

"at audio tone frequency 750 Hz and 127 polar code symbols at tone frequencies 750 Hz + n*11.71875 Hz, where n is in the range 1-128"

"the 1512 Hz bandwidth of the SuperFox signal"

"the SuperFox signal (750 Hz - 2262 Hz audio) "

Is "and 127 polar code symbols"  a typo?

A bit of arithmetic was used in a spreadsheet.
From the spreadsheet:
----------------------------------
SUPERFOX FREQUENCIES                                    
                                        
Stated Bandwidth        1512    750 + 1512 =     ~2262  
Slot width      11.71875                                
Beginning of tones      750                             
End of tones     ~2262                          
Try every n from 0 to 128
         n*width        Left Edge to    Right Edge
0       0               750     to      761.71875       
1       11.71875        761.71875       to      773.4375        
2       23.4375 773.4375        to      785.15625
...
...
126     1476.5625       2226.5625       to      2238.28125      
127     1488.28125      2238.28125      to      2250    
128     1500    2250    to      2261.71875       ~2262
                                        
        Uses n=128      tone slots
        and slot 0 i.e. 750 Hz  
-----------------------------------------------

On 7/23/2024 12:16 PM, Steven Franke via wsjt-devel wrote:
On Jul 23, 2024, at 10:41 AM, Black Michael via wsjt-devel <wsjt-devel@lists.sourceforge.net> wrote:

Was looking at this example SuperFox transmission using Audacity

https://www.dropbox.com/scl/fi/stohwy3veidevmwr4j517/240605_181330.wav?rlkey=85h1c9riskq1mmbqzex9hpov3&dl=1
 
<https://www.dropbox.com/scl/fi/stohwy3veidevmwr4j517/240605_181330.wav?rlkey=85h1c9riskq1mmbqzex9hpov3&dl=1>

It looks like there is amplitude modulation going on which would seem to be undesirable. For example, analyzing this one section there is a 1697Hz signal.  But if the amplitude drops the SNR will drop too limiting the decoding ability.
Is amplitude modulation part of the Q-ary polar code?

The SuperFox audio waveform produced by WSJT-X is a constant-envelope Gaussian frequency shift keyed (GFSK) signal with bandwidth-time product BT=8.  The GFSK waveform includes 24 sync symbols at audio tone frequency 750 Hz and 127 polar code symbols at tone frequencies 750 Hz + n*11.71875 Hz, where n is in the range 1-128.

If the transmitter’s upper-sideband audio-to-RF frequency response is flat over the bandwidth of the SuperFox signal (750 Hz - 2262 Hz audio) then the transmitted signal will also have constant envelope. What you are seeing in the example that you posted is the result of frequency-selective fading, i.e. the propagation channel’s frequency response is not flat over the 1512 Hz bandwidth of the SuperFox signal. Most signals will exhibit this effect so some extent.

Steve K9AN


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