Wigner-type a-b and time-frequency analysis based on conjugate operators

Authors:
F. Hlawatsch;T. Twaroch;H. Bolcskei
Affiliations:
INTHFT, Wien Univ., Austria;-;-
Venue:
ICASSP '96 Proceedings of the Acoustics, Speech, and Signal Processing, 1996. on Conference Proceedings., 1996 IEEE International Conference - Volume 03
Year:
1996

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Wigner distributions (nearly) everywhere: time-frequency analysis of signals, systems, random processes, signal spaces, and frames

Signal Processing - From signal processing theory to implementation

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Abstract

We extend the Wigner distribution (WD) to conjugate unitary operators A/sub /spl alpha// and B/sub /spl beta//. The resulting "AB-WD" is defined both as an a-b representation and as a time-frequency representation. Important properties and relations of the WD are generalized to the AB-WD.