bear with me, I am a math illiterate.
I understand you can do a Discrete Fourier Transform in matrix form,
and for 2-point case it is simply
[ 1, 1
1,-1]
like the Haar transform, average and difference.
My idea is, to use two successive DFT frames, and to transform
resepctive bins of two successive frames like this.
To obtain a better frequency estimate (subbands) from two smaller DFTs
instead of an DFT double the size.
This should be possible? and the information obtained, time and
frequency resolution wise, identical.
Except that you can overlap the two DTFs.
I basically want to find the dominant frequency in the FFT bin, and
sepreate it and discard the rest.
And a subband resolution of 2 seems to be a sufficient increase in
resolution.
But how do I get that from this when there is no phase other then 0?
I can see which of the two bands has more energy, but how do I know "the
true frequency" of Nyquist and DC?
There is not enough information.
The problem persists for me if I resort to a 4-point transform, what to
do with the highest/lowest subband.
(and also to understand how to calculate the simple 4 point matrix,
cause I am uneducated..)
Or do I need the 4-point case and discard "DC" and Nyquist subbands?
Or is the idea totally nonsens?
Or is it justified to pick the subband that has more energy, and then, what?
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