Topics in time-frequency representations

Leon Cohen

doi:10.1117/12.255436

22 October 1996 Topics in time-frequency representations

Leon Cohen

Proceedings Volume 2846, Advanced Signal Processing Algorithms, Architectures, and Implementations VI; (1996) https://doi.org/10.1117/12.255436
Event: SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, 1996, Denver, CO, United States

Abstract

We discuss some issues relevant to time-frequency analysis. Among them are, time-frequency spatial/spatial-frequency representations, generalized marginals and generalized characteristic functions. We derive representations that jointly involve the four variables, time, frequency, space, and spatial frequency. We apply these representations to wave packet motion. For the study on generalized marginals we show that there is an inherent difference between the standard methods of transforming variables and in time- frequency analysis. We use the method of generalized characteristic function operator method to generalize Taylor's theorem.

Citation Download Citation

Leon Cohen "Topics in time-frequency representations", Proc. SPIE 2846, Advanced Signal Processing Algorithms, Architectures, and Implementations VI, (22 October 1996); https://doi.org/10.1117/12.255436

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