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Re: LF: SlowJT9 averaging (in conversion to JT9-1)

To: [email protected]
Subject: Re: LF: SlowJT9 averaging (in conversion to JT9-1)
From: Markus Vester <[email protected]>
Date: Thu, 22 Nov 2018 16:16:59 +0000 (UTC)
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Hi Rik,

the way I would go about it is using windowed sinc interpolation. For the 9 / 20 decimation ratio for JT9-2, you would upsample by a factor of 9, but only one in 20 output samples needs to be calculated. Attached is a screenshot from a Mathcad spreadsheet and a table of weighting factors (input samples left to right, output top to bottom). JT9-5 would be analogous with 160 / 27 ratio.

Best 73,

-----Ursprüngliche Mitteilung-----
Von: Rik Strobbe <[email protected]>
An: [email protected] <[email protected]>; [email protected] <[email protected]>; [email protected] <[email protected]>
Verschickt: Mi, 21. Nov. 2018 16:52
Betreff: LF: SlowJT9 averaging (in conversion to JT9-1)

For those interested:

in order to get JT9-2, JT9-5 and JT9-10 signals decoded with a JT9 decoder (from the WSJT-X suite), the JT9-2, JT9-5, JT9-10 audio is "speeded up" to JT9-1. During the process the signal is also averaged (otherwise ther would be no S/N improvement).

In the initial versions of SlowJT9 the ratios were integer values: 2 for JT9-2 anf 5 for JT9-5, making averaging very simple.

In SlowJT9 v0.9.10 however the original parameters for JT9-2, JT9-5 and JT9-10 are used, resulting in some non-integer conversion rates: 2.2222 (15360/6912) for JT9-2 and 5.9259 (40960/6912) for JT9-5.

So, how to average with for example each 2.2222 incoming samples are converted to 1 outgoing sample?

Not finding relevant information about this on the web, I did it quite straigh forward:

Assuming I1, I2, I3, I4, ... are the incoming JT9-2 samples and O1, O2, O3, O4, ... are the outgoing JT9(-1) samples

O1 = (I1+I2+0.222*I3)/2.222

O2 = (0.778*I3+I4+0.444*I5)/2.222

O3 = (0.556*I5+I6+0.667*I7)/2.222

O4 = (0.333*I7+I8+0.889*I9)/2.222

and so on.

I am by no means sure that this is the best way to average for non-integer conversion rates (it was just the best I could think of), so any suggestion to do this better is welcome.

73, Rik  ON7YD - OR7T

Attachment: windowed_sinc_interpolation.png
Description: PNG image

Attachment: interpolation_20-9.txt
Description: Text document

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