IJPAM: Volume 77, No. 2 (2012)

$\frac{p}{q}$-CHANNEL ORTHONORMAL
WAVELET BASES VIA MRA

Zhaofeng Li
College of Sciences
China Three Gorges University
Yichang, 443002, P.R. CHINA


Abstract. In this paper we study the orthonormal wavelet bases with rational dilation factor $\frac{p}{q}$ and provide a method to achieve the orthonormal wavelet bases. As an application, one example is offered to verify the theory.

Received: December 25, 2011

AMS Subject Classification: 42C40, 65T60

Key Words and Phrases: orthonormal wavelet base, rational dilation factor, perfect reconstruction condition

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 77
Issue: 2