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Proceedings Paper

Recursion In Wigner Distribution
Author(s): Moeness G. Amin
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Paper Abstract

The problem of finding a recursive structure to evaluate the Wigner distribution (WD) is investigated. Recursive formula for updating the smoothed Wigner distribution are derived for on-line data processing of non-stationary processes. Recursion is established by first defining a sliding data window and then selecting the time-lag window to satisfy either a "direct" or "indirect" recursion condition. The former requires calculating the Pseudo-WD (PWD) prior to averaging and leads to a "computationally block-invariance" property. On the other hand, the "indirect" recursion, which is based on running Fourier transform, does not require explicit calculations of PWD, and provides a "computationally lag-invariance" property. Both properties are discussed in the paper.

Paper Details

Date Published: 23 February 1988
PDF: 11 pages
Proc. SPIE 0975, Advanced Algorithms and Architectures for Signal Processing III, (23 February 1988); doi: 10.1117/12.948506
Show Author Affiliations
Moeness G. Amin, Villanova University (United States)

Published in SPIE Proceedings Vol. 0975:
Advanced Algorithms and Architectures for Signal Processing III
Franklin T. Luk, Editor(s)

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