Orthogonal Wavelet Packets in Discrete Periodic Spaces and applications

Authors

  • Meixiang Yang School of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, 541004

DOI:

https://doi.org/10.26713/jims.v6i1.186

Keywords:

Orthogonal basis, Wavelet packets, Decomposition algorithm, Reconstruction algorithm

Abstract

This paper proposes the construction and application of orthogonal wavelet packets in discrete space $\ell^{2}(Z_{N})$. First, we give the definition and construction of orthogonal wavelet packets. Moreover, the corresponding orthogonal decomposition is proved. Then, the realization of decomposition and reconstruction algorithm is studied. Finally, a numerical example for signal processing is given, which shows that signal processing based on wavelet packets in discrete spaces can gain better effect in some cases.

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References

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Published

2014-11-29
CITATION

How to Cite

Yang, M. (2014). Orthogonal Wavelet Packets in Discrete Periodic Spaces and applications. Journal of Informatics and Mathematical Sciences, 6(1), 23–33. https://doi.org/10.26713/jims.v6i1.186

Issue

Vol. 6 No. 1 (2014)

Section

Research Articles

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