Re: Question about the way Smith defines frames of an input signal for the STFT

On Jul 13, 8:20 pm, "maxplanck" <erik.bo...@xxxxxxxxxxx> wrote:
Thanks a lot, that makes more sense. I think that the root of my problem
understanding this may have to do with that "equals sign with triangle
above it" symbol. I thought that symbol only indicated that the author was
making a definition, but from what you said it seems that this symbol must
mean something other than that. Can you please tell me what the name of
this symbol is, so that I can look up its meaning?

I should be able to deduce the symbol's meaning from the verbal
description of what it does here that you posted, but I am just interested
in seeing a general definition.

Thanks again

The Fourier transform is performed once across all time. The point of
the STFT is that it is a set of DFT operations performed at different
time periods to produce a time-frequency distribution. The same
process is performed at each frame with the input data redefined. So
you could call that "equals sign with a triangle" to be the definition
of the data input set. For the STFT this is a definition that changes
with time. There is a variable on the right hand side that indicates
the frame count that the definition applies for. Big values of m only
apply to big values of the n on the right hand side.

Dale B. Dalrymple
.

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