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7.5.1 Fractional Delay
January 29, 2017
1:22 pm
reasonuser
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January 29, 2017
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Hey!

I recently bought the books and have lots of fun so far! But I think I spotted a mistake or maybe I just don't understand what's going on...

I tried to come up with the difference equation for the fractional delay. Let x(n) be the input to the delay and y(n) the output (no wet/dry mix here, it's fully wet). We want the input signal to exit the output after D+d samples where D is the integer part and d the fractional part. So we have to delay the input x(n) and the fedback output signal feedback*y(n) by D+d samples using D unit delays and linear interpolation with d.

The difference equation I obtained is a bit lengthy but it contains interpolation between input samples and output samples. Taking a look at your code on pages 238 and 239 it seems the difference equation to your implementation is y(n) = x(n-D) + feedback * (d*y(n-D) + (1-d)*y(n-D-1)).

So only the feedback path contains the interpolation. That means that the input sample is put out after D samples but the fedback output sample after D+d samples and this is not correct!

Am I on the wrong track here? I hope we can get this clear!

Best regards,

Jan

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