Scaled Gabor representation: a refined time-frequency decomposition

Shidong Li

doi:10.1117/12.255225

23 October 1996 Scaled Gabor representation: a refined time-frequency decomposition

Shidong Li

Proceedings Volume 2825, Wavelet Applications in Signal and Image Processing IV; (1996) https://doi.org/10.1117/12.255225
Event: SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, 1996, Denver, CO, United States

Abstract

A discrete scaled Gabor representation (SRG) is developed to meet the requirements of localized and refined time- frequency representation of signals. SGR generalizes the metaplectic structure by using windows' translation, modulation and dilation as synthesis waveforms. Fundamental features and importance of SGRs are discussed. We derive fast algorithms for the computation of related analysis sequences at different scales. An example of using SGRs for refined time-frequency representation is also demonstrated. A significant feature of SGRs also lies in the fact that they can be realized in a parallel FFT-based implementation structure.

Citation Download Citation

Shidong Li "Scaled Gabor representation: a refined time-frequency decomposition", Proc. SPIE 2825, Wavelet Applications in Signal and Image Processing IV, (23 October 1996); https://doi.org/10.1117/12.255225

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