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Some novel applications of vector biased wavelet to signal processing

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1 Author(s)
Jian-Ping Li ; Int. Centre for Wavelet Anal. & Its Applic., Univ. of Electron. Sci. & Technol. of China, Chengdu, China

Up to now, all the wavelet transforms are inner product representation of Hilbert space. In [1,2,3,4], based on the principle of mathematics and dialectical method, a novel method-VPWT (Vector Product Wavelet Transform) is proposed and studied, it is useful for wavelet theory and signal processing. In [5,6], vector wavelet functions, vector scaling functions and biased wavelet functions are put forward, they are suitable for signal processing. In this paper, combined [1,2,3,4] with [5,6], a new signal processing way is given out. Numerical tests of the new way by optimal control theory suggest that the new method considerably improve the representation capabilities of wavelet expansions.

Published in:

Apperceiving Computing and Intelligence Analysis (ICACIA), 2010 International Conference on

Date of Conference:

17-19 Dec. 2010