Recursion In Wigner Distribution

Moeness G. Amin

doi:10.1117/12.948506

23 February 1988 Recursion In Wigner Distribution

Moeness G. Amin

Proceedings Volume 0975, Advanced Algorithms and Architectures for Signal Processing III; (1988) https://doi.org/10.1117/12.948506
Event: 32nd Annual International Technical Symposium on Optical and Optoelectronic Applied Science and Engineering, 1988, San Diego, CA, United States

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.

Citation Download Citation

Moeness G. Amin "Recursion In Wigner Distribution", Proc. SPIE 0975, Advanced Algorithms and Architectures for Signal Processing III, (23 February 1988); https://doi.org/10.1117/12.948506

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