Pseudo affine Wigner distributions: definition and kernel formulation

We introduce a new set of tools for time-varying spectral analysis: the pseudo affine Wigner distributions. Based on the affine Wigner distributions of J. and P. Bertrand (1992), these new time-scale distributions support efficient online operation at the same computational cost as the continuous wa...

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Bibliographic Details
Published in:IEEE transactions on signal processing 1998-06, Vol.46 (6), p.1505-1516
Main Authors: Goncalves, P., Baraniuk, R.G.
Format: Article
Language:English
Subjects:
Applied sciences
Bandwidth
Computational efficiency
Continuous wavelet transforms
Exact sciences and technology
Frequency
Information, signal and communications theory
Interference
Kernel
Signal analysis
Signal and communications theory
Signal representation. Spectral analysis
Signal, noise
Smoothing methods
Spectral analysis
Telecommunications and information theory
Wavelet transforms
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Summary:We introduce a new set of tools for time-varying spectral analysis: the pseudo affine Wigner distributions. Based on the affine Wigner distributions of J. and P. Bertrand (1992), these new time-scale distributions support efficient online operation at the same computational cost as the continuous wavelet transform. Moreover, they take advantage of the proportional bandwidth smoothing inherent in the sliding structure of their implementation to suppress cumbersome interference components. To formalize their place within the echelon of the affine class of time-scale distributions (TSDs), we introduce and study an alternative set of generators for this class.
ISSN:1053-587X
1941-0476
DOI:10.1109/78.678464