A New Discrete Analytic Signal for Reducing Aliasing in the Discrete Wigner-Ville Distribution

Authors:
J.M. O'Toole;M. Mesbah;B. Boashash
Affiliations:
Perinatal Res. Centre, Univ. of Queensland, Brisbane, QLD;-;-
Venue:
IEEE Transactions on Signal Processing
Year:
2008

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Abstract

It is not possible to generate an alias-free discrete Wigner-Ville distribution (DWVD) from a discrete analytic signal. This is because the discrete analytic signal must satisfy two mutually exclusive constraints. We present, in this paper, a new discrete analytic signal that improves on the commonly used discrete analytic signal's approximation of these two constraints. Our analysis shows that - relative to the commonly used signal - the proposed signal reduces aliasing in the DWVD by approximately 50%. Furthermore, the proposed signal has a simple implementation and satisfies two important properties, namely, that its real component is equal to the original real signal and that its real and imaginary components are orthogonal.