A new discrete analytic signal for reducing aliasing in the discrete Wigner-Ville distribution

O'Toole, J. M., Mesbah, M. and Boashash, B. (2008) A new discrete analytic signal for reducing aliasing in the discrete Wigner-Ville distribution. IEEE Transactions on Signal Processing, 56 11: 5427-5434. doi:10.1109/TSP.2008.929325

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Author O'Toole, J. M.
Mesbah, M.
Boashash, B.
Title A new discrete analytic signal for reducing aliasing in the discrete Wigner-Ville distribution
Journal name IEEE Transactions on Signal Processing   Check publisher's open access policy
ISSN 1053-587X
1941-0476
Publication date 2008-11-01
Year available 2008
Sub-type Article (original research)
DOI 10.1109/TSP.2008.929325
Open Access Status File (Author Post-print)
Volume 56
Issue 11
Start page 5427
End page 5434
Total pages 8
Place of publication Piscataway, U.S.A.
Publisher IEEE Signal Processing Society
Language eng
Subject 01 Mathematical Sciences
090609 Signal Processing
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.
Keyword Discrete Wigner-Ville distribution (DWVD)
Analytic signal
Discrete Hilbert transforms
Antialiasing
Time-frequency analysis
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

 
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