Optimal kernels for time-frequency analysis

Richard G. Baraniuk; Douglas L. Jones

doi:10.1117/12.23475

1 November 1990 Optimal kernels for time-frequency analysis

Richard G. Baraniuk, Douglas L. Jones

Proceedings Volume 1348, Advanced Signal Processing Algorithms, Architectures, and Implementations; (1990) https://doi.org/10.1117/12.23475
Event: 34th Annual International Technical Symposium on Optical and Optoelectronic Applied Science and Engineering, 1990, San Diego, CA, United States

Abstract

Current bilinear time-frequency representations apply a fixed kernel to smooth the Wigner distribution. However the choice of a fixed kernel limits the class ofsignals that can be analyzed effectively. This paper presents optimality criteria for the design of signal-dependeni kernels that suppress cross-components while passing as much auto-component energy as possible irrespective of the form of the signal. A fast algorithm for the optimal kernel solution makes the procedure competitive computationaily with fixed kernel methods. Examples demonstrate the superior performance of the optimal kernel for a frequency modulated signal.

Citation Download Citation

Richard G. Baraniuk and Douglas L. Jones "Optimal kernels for time-frequency analysis", Proc. SPIE 1348, Advanced Signal Processing Algorithms, Architectures, and Implementations, (1 November 1990); https://doi.org/10.1117/12.23475

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