On the Wigner distribution of discrete-time noisy signals with application to the study of quantization effects | IEEE Journals & Magazine | IEEE Xplore

On the Wigner distribution of discrete-time noisy signals with application to the study of quantization effects


Abstract:

The influence of noise on the Wigner distribution (WD) of discrete-time signals is analyzed. Signals contaminated by white noise are considered. The expressions for the m...Show More

Abstract:

The influence of noise on the Wigner distribution (WD) of discrete-time signals is analyzed. Signals contaminated by white noise are considered. The expressions for the mean and variance of the WD estimator are derived. It is then shown that the application of only one window is sufficient to make the variance of the estimator finite. This is a significant difference from the analog case, where two windows are needed. The expression for the optimal window width is derived. The results are illustrated by several numerical examples. Using the derived expressions, the effects of finite register length on the WD are analyzed. Fixed and floating point arithmetic are considered.<>
Published in: IEEE Transactions on Signal Processing ( Volume: 42, Issue: 7, July 1994)
Page(s): 1863 - 1867
Date of Publication: 31 July 1994

ISSN Information:


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