General approach for obtaining joint representations in signal analysis and an application to scale

Leon Cohen

doi:10.1117/12.49816

1 December 1991 General approach for obtaining joint representations in signal analysis and an application to scale

Leon Cohen

Proceedings Volume 1566, Advanced Signal Processing Algorithms, Architectures, and Implementations II; (1991) https://doi.org/10.1117/12.49816
Event: San Diego, '91, 1991, San Diego, CA, United States

Abstract

A general approach for obtaining joint representations in signal analysis is presented. The method is applied to scale representations. We define a new scale operator and show that it leads to joint representations of the Altes and Marinovic type and we also define joint representations with inverse frequency and show that it leads to Bertrand-Bertrand type distributions. We derive the uncertainty principle for scale and obtain the minimum time-scale uncertainty signal.

Citation Download Citation

Leon Cohen "General approach for obtaining joint representations in signal analysis and an application to scale", Proc. SPIE 1566, Advanced Signal Processing Algorithms, Architectures, and Implementations II, (1 December 1991); https://doi.org/10.1117/12.49816

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