Any chance of using chirp-Z within STFT (specgram or alike)

I intend to analyze a non-stationary audio signal for its spectral
content after splitting it up by several narrow frequency bands
(sub-bands).
Splitting is performed by wavelet decomposition at required level, then
I thought of running an STFT (specgram with narrow window) within each
band
to figure its spectrum content.
Since the bands are quite narrow (several hundreds of herz each) there
will be no much sense in trying to establish the full frequency content
by regular FFT, but rather to utilize an increased resolution withint
the given band by means of an aprporpiate algorithm, such as chirp-Z.
The question is whether there is MATLAB implementation that would allow
to use chirp-Z within the band in STFT (specgram or alike) instad of
regular FFT ? Or whole new STFT aproach need to be build from scratch
to incrorporate the chirp-Z (or probably zoom-FFT) ?

Any hints/thoughts ?

Thanks, Alex Start a New Thread