Applications of non-uniform multi-Gabor expansions to time-frequency analysis

Michael D Hoffman; Shidong Li

doi:10.1117/12.506391

24 December 2003 Applications of non-uniform multi-Gabor expansions to time-frequency analysis

Michael D Hoffman, Shidong Li

Proceedings Volume 5205, Advanced Signal Processing Algorithms, Architectures, and Implementations XIII; (2003) https://doi.org/10.1117/12.506391
Event: Optical Science and Technology, SPIE's 48th Annual Meeting, 2003, San Diego, California, United States

Abstract

We present a non-uniform multi-Gabor expansion (MGE) algorithm in which multiple windows and their corresponding translations and modulations are used for signal analysis. Analysis windows of varying supports, each corresponding to a chosen scale of detail, decompose a signal using different translation and modulation parameters for each scale. Structural analysis of dual synthesis waveforms is provided. We show that synthesis waveforms can still be formed from translations and modulations of a set of basic dual windows at each scale. The use of different translation and modulation parameters at each scale allows for a more refined and concise time-frequency representation of the signal, while retaining the versatility of uniform MGEs in representing signal dynamics at many different scales. Examples of implementation and practical application will be presented.

Citation Download Citation

Michael D Hoffman and Shidong Li "Applications of non-uniform multi-Gabor expansions to time-frequency analysis", Proc. SPIE 5205, Advanced Signal Processing Algorithms, Architectures, and Implementations XIII, (24 December 2003); https://doi.org/10.1117/12.506391

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