Group-normalized wavelet packet signal processing

Zhuoer Shi; Zheng Bao

doi:10.1117/12.271722

3 April 1997 Group-normalized wavelet packet signal processing

Zhuoer Shi, Zheng Bao

Proceedings Volume 3078, Wavelet Applications IV; (1997) https://doi.org/10.1117/12.271722
Event: AeroSense '97, 1997, Orlando, FL, United States

Abstract

Since the traditional wavelet and wavelet packet coefficients do not exactly represent the strength of signal components at the very time(space)-frequency tilling, group- normalized wavelet packet transform (GNWPT), is presented for nonlinear signal filtering and extraction from the clutter or noise, together with the space(time)-frequency masking technique. The extended F-entropy improves the performance of GNWPT. For perception-based image, soft-logic masking is emphasized to remove the aliasing with edge preserved. Lawton's method for complex valued wavelets construction is extended to generate the complex valued compactly supported wavelet packets for radar signal extraction. This kind of wavelet packets are symmetry and unitary orthogonal. Well-defined wavelet packets are chosen by the analysis remarks on their time-frequency characteristics. For real valued signal processing, such as images and ECG signal, the compactly supported spline or bi- orthogonal wavelet packets are preferred for perfect de- noising and filtering qualities.

Citation Download Citation

Zhuoer Shi and Zheng Bao "Group-normalized wavelet packet signal processing", Proc. SPIE 3078, Wavelet Applications IV, (3 April 1997); https://doi.org/10.1117/12.271722

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