hi Greg, yes but taking circuit depth to mean circuit path and assumptively related to window size, a smaller window almost certainly equals more ripple distortion
-ez On Wed, Jun 24, 2020 at 3:57 PM Greg Maxwell <gmaxw...@gmail.com> wrote: > On Wed, Jun 24, 2020 at 7:46 PM Russell Wedelich <wedel...@gmail.com> > wrote: > >> Respectively Eric, I think you may be confusing two different use cases >> for windows. Your recent reference is referring to constructing FIR filters >> via the Windowing method of ideal brickwall filters. This is different from >> a frequency domain convolution implementation of an FIR filter (which may >> or may not explicitly apply a smooth window) which as far as I can tell is >> the origin of this part of the discussion. >> > > And for the convolution implementation of a FIR filter if you were to > compare _correct_ implementations of each approach which had adequate(*) > internal precision relative to the output, the results would be _bit > identical_. > > (*) In practice, digital implementations of *both* time domain FIR and > convolution typically lack enough internal precision such that their output > is exact, and as a result they won't be bit identical. Though I wouldn't be > surprised if, for a given internal precision, a WOLA implementation using > FFTs wasn't *more* faithful to a infinite precision FIR than the same FIR > implemented with limited precision, due to the smaller circuit depth for > the frequency domain approach. > > _______________________________________________ > dupswapdrop: music-dsp mailing list > music-dsp@music.columbia.edu > https://lists.columbia.edu/mailman/listinfo/music-dsp
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