TY - JOUR
T1 - A new discrete analytic signal for reducing aliasing in the discrete Wigner-Ville distribution
AU - O'Toole, John M.
AU - Mesbah, Mostefa
AU - Boashash, Boualem
PY - 2008
Y1 - 2008
N2 - 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.
AB - 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.
KW - Analytic signal
KW - Antialiasing
KW - Discrete Hilbert transforms
KW - Discrete Wigner-Ville distribution (DWVD)
KW - Time-frequency analysis
UR - http://www.scopus.com/inward/record.url?scp=54949090044&partnerID=8YFLogxK
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U2 - 10.1109/TSP.2008.929325
DO - 10.1109/TSP.2008.929325
M3 - Article
AN - SCOPUS:54949090044
SN - 1053-587X
VL - 56
SP - 5427
EP - 5434
JO - IEEE Transactions on Signal Processing
JF - IEEE Transactions on Signal Processing
IS - 11
ER -