Approximation Power of Biorthogonal Wavelet with Sampling Property and Computation of Wavelet Sampling Points

Zhang Jiankang; Bao Zheng

Volume 21 Issue 6

Nov. 1999

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Article Navigation > Journal of Electronics & Information Technology > 1999 > 21(6): 721-728

Zhang Jiankang, Bao Zheng. Approximation Power of Biorthogonal Wavelet with Sampling Property and Computation of Wavelet Sampling Points[J]. Journal of Electronics & Information Technology, 1999, 21(6): 721-728.

Citation:

Zhang Jiankang, Bao Zheng. Approximation Power of Biorthogonal Wavelet with Sampling Property and Computation of Wavelet Sampling Points[J]. Journal of Electronics & Information Technology, 1999, 21(6): 721-728.

Citation:

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Approximation Power of Biorthogonal Wavelet with Sampling Property and Computation of Wavelet Sampling Points

Received Date: 1998-01-15
Rev Recd Date: 1998-12-11
Publish Date: 1999-11-19

Abstract

Abstract

The focus in this paper is on the discussion of the approximation performance of the Mallat algorithm under biorthogonal wavelet bases with sampling property. The asymptotic formulae of the approximation errors of the Mallat algorithm and sharper quantitative estimation of the upper bounds are given for relatively small scale and relatively large scale, respectively. The results demonstrate that under such wavelet bases, the rate of decay of the Mallat project, directly replacing wavelet sampling points by uniform sampling points without prefiltering, reaches K order, where K is the order of a synthesis scaling function. The final experiments also show its advantages.

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References(1)

References

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