so the "implicit" sliding rectangular window has just as much mathematical
meaning as if it were explicit.
as Steffan points out, this implicit sliding rectangular window used in the
sliding DFT is essentially the same implicit sliding rectangular window used in
the efficient method of computing moving average over a contiguous interval.
the efficient moving average filter is a specific example of Truncated IIR
filters (remember that topic?). you can use the same theory to design a
sliding Hann window that is *efficient* (O(1) instead of O(N)), where you need
not do sample-by-sample multiplication over the entire interval. so the
sliding DFT would be the same multiply by e^{-j 2 pi n k/N} (where k is the bin
number) followed by a sliding weighted sum where the weighting function is a
Hann window instead of a rectangular window.
hope y'all are doing okay under this Coronavirus thing. i am holed up in
Vermont.
--
r b-j r...@audioimagination.com
"Imagination is more important than knowledge."
> On March 20, 2020 4:46 AM STEFFAN DIEDRICHSEN <sdiedrich...@me.com> wrote:
>
> Hello Richard,
>
> Sure the window has a meaning. The window is pulled into the integration and
> exists there as its differentiated form.If you rewrite formula [1] of your
> paper:
>
>
...
> It’s a lot more to process, but hey, we all have Mac Pros, don’t we?
>
>
>
> > On 19.03.2020|KW12, at 19:11, Richard Dobson < rich...@rwdobson.com> wrote:
> >
> >
> > So the rectangular window is at best implicit - I'm not sure it even has
> > any meaning in this situation.
>
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