Characteristics analysis of wavelet coefficients and its applications in image compression

Lang, Fangnian, Zhou, Jiliu, Tang, Yuan Yan, Yu, Hongnian, Cang, Shuang and Shang, Zhaowei (2014) Characteristics analysis of wavelet coefficients and its applications in image compression. International Journal of Wavelets, Multiresolution and Information Processing, 12 (03). p. 1450028. ISSN 0219-6913

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Abstract

Currently, the wavelet transform is widely used in the signal processing domain, especially in the image compression because of its excellent de-correlation property and the redundancy property included in the wavelet coefficients. This paper investigates the redundancy relationships between any two or three components of the wavelet coefficients, the wavelet bases and the original signal. We discuss those contents for every condition according to the continuous form and the discrete form, respectively, by which we also derive a uniform formula which illuminates the inherent connection among the redundancy of the wavelet coefficients, the wavelet bases and the original signals. Finally, we present the application of the wavelet coefficient redundancy property in the still image compression domain and compare the properties of the Discrete Wavelet Transform (DWT) with that of the Discrete Cosine Transform (DCT).

Item Type:	Article
Uncontrolled Keywords:	Wavelet coefficient, wavelet basis, sampling theorem, wavelet reproducing kernel function, JPEG2000
Subjects:	G500 Information Systems
Department:	Faculties > Business and Law > Newcastle Business School
Depositing User:	Becky Skoyles
Date Deposited:	11 Dec 2018 10:57
Last Modified:	19 Nov 2019 09:50
URI:	http://nrl.northumbria.ac.uk/id/eprint/37169

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