Transformation of operators and scale

Leon Cohen

doi:10.1117/12.190870

28 October 1994 Transformation of operators and scale

Leon Cohen

Proceedings Volume 2296, Advanced Signal Processing: Algorithms, Architectures, and Implementations V; (1994) https://doi.org/10.1117/12.190870
Event: SPIE's 1994 International Symposium on Optics, Imaging, and Instrumentation, 1994, San Diego, CA, United States

Abstract

Explicit expressions are given for the transformation of an operator from one representation to another. Both continuous and discrete representations are considered. Examples are given for the time-frequency and scale operators in various representations including the Hermite, Fourier, discrete Fourier, scale, time, and sample theorem representations. Also, we generalize the characteristics operator method where we use an arbitrary complete set rather than complex exponentials.

Citation Download Citation

Leon Cohen "Transformation of operators and scale", Proc. SPIE 2296, Advanced Signal Processing: Algorithms, Architectures, and Implementations V, (28 October 1994); https://doi.org/10.1117/12.190870

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