DocumentCode :
2882915
Title :
Generalized-marginal time-frequency distributions
Author :
Xia, Xiang-Gen ; Owechko, Yuri ; Soffer, Bernard H. ; Matic, Roy M.
Author_Institution :
Hughes Res. Labs., Malibu, CA, USA
fYear :
1996
fDate :
18-21 Jun 1996
Firstpage :
509
Lastpage :
512
Abstract :
We introduce a family of time-frequency (TF) distributions with generalized-marginals, i.e., beyond the time-domain and the frequency-domain marginals, in the sense that the projections of a TF distribution along one or more angles are equal to the magnitude squared of the fractional Fourier transforms of the signal. We present a necessary and sufficient condition for a TF distribution in the Cohen´s class to satisfy generalized-marginals. We then modify the existing well-known TF distributions in the Cohen´s class, such as Choi-Williams, Page distributions, so that the modified ones have generalized marginals. Numerical examples are presented to show that the proposed TF distributions have the advantages of both Wigner-Ville and other quadratic TF distributions which only have the conventional marginals. Moreover, they also indicate that the generalized-marginal TF distributions with proper marginals are more robust than the Wigner-Ville and the Choi-Williams distributions when signals contain additive noise
Keywords :
Fourier transforms; Wigner distribution; noise; signal representation; time-frequency analysis; Choi-Williams distributions; Cohen´s class; Page distributions; Wigner-Ville distributions; additive noise; fractional Fourier transforms; frequency-domain marginals; generalized-marginal time-frequency distributions; necessary condition; signal representation; sufficient condition; time-domain marginals; Additive noise; Chirp; Equations; Fourier transforms; Kernel; Noise robustness; Sufficient conditions; Time frequency analysis;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1996., Proceedings of the IEEE-SP International Symposium on
Conference_Location :
Paris
Print_ISBN :
0-7803-3512-0
Type :
conf
DOI :
10.1109/TFSA.1996.550104
Filename :
550104
Link To Document :
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