Analysis of the recursive multiple window STFTs and spectrograms

A wide class of short time Fourier transforms (STFTs) or spectrograms can be generated by using an infinite-length analysis window corresponding to an impulse response of an IIR filter. The cascade form realization of the analysis window allows concurrent generation of several STFTs with different t...

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Authors: K. Feng, S. Tyler, Moeness Amin
Conference Location: Philadelphia, PA
Conference Dates: October 25-28, 1994
Proceedings Title: IEEE International Symposium on Time-Frequency and Time-Scale Analysis
Format: Conference Proceeding
Published: 1994
Subjects:
Summary: A wide class of short time Fourier transforms (STFTs) or spectrograms can be generated by using an infinite-length analysis window corresponding to an impulse response of an IIR filter. The cascade form realization of the analysis window allows concurrent generation of several STFTs with different trade-offs between temporal and spectral resolutions. The number of STFTs or spectrograms associated with the analysis window is equal to the number of the W filter singularities. The temporal-spectral resolution diversity of the STFTs (spectrograms) generated by any given structure is a function of the filter poles and zeros as well as their order of cascade. This paper focuses on multiple pole filters and derives closed form expressions for their temporal resolution as a function of the pole position and multiplicity.
ISBN: 0780321278