Four Band Cardinal Orthogonal Scaling Functions and Wavelets in Higher Dimensions

Abstract:

Sampling theorem plays an important role in the engineering such as signal processing, image processing, digital communications, and so on. In this paper, the symmetry property of cardinal orthogonal scaling function is discussed. Then, a 4-band cardinal orthogonal scaling function from the relation between the highpass filter coefficients and wavelet is provided. Thus, sampling theorem in the wavelet subspace is obtained.

• Periodical: Applied Mechanics and Materials (Volumes 275-277)
• Pages: 2523-2526
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.275-277.2523
• Online since: January 2013
• Authors: Xin Cheng Zhang*
• Keywords: Cardinal Orthogonal Scaling Function, Highpass Filter Coefficient, Sampling Theorem, Symmetry Property

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