Analysis of chirp signals by time-frequency localization frames

Joseph D. Lakey; Wade K. Trappe

doi:10.1117/12.255266

23 October 1996 Analysis of chirp signals by time-frequency localization frames

Joseph D. Lakey, Wade K. Trappe

Proceedings Volume 2825, Wavelet Applications in Signal and Image Processing IV; (1996) https://doi.org/10.1117/12.255266
Event: SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, 1996, Denver, CO, United States

Abstract

A theory of frames that extend Gabor analysis by including chirping is discussed. The chirping parameter in these 'time-frequency localization frames' depends on time and/or frequency shift parameters that can be adapted to analyze and detect chirps in noisy signals. Radar/sonar applications are outlined. The frame theory is motivated by a generalized notion of square-integrable group representation developed by Ali, Antoine, and Gazeau, together with ideas in Baraniuk's thesis on a metaplectic extension of Cohen's class.

Citation Download Citation

Joseph D. Lakey and Wade K. Trappe "Analysis of chirp signals by time-frequency localization frames", Proc. SPIE 2825, Wavelet Applications in Signal and Image Processing IV, (23 October 1996); https://doi.org/10.1117/12.255266

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