Orthogonal Wavelet Packets in Discrete Periodic Spaces and applications

Meixiang Yang


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.


Orthogonal basis; Wavelet packets; Decomposition algorithm; Reconstruction algorithm

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DOI: http://dx.doi.org/10.26713%2Fjims.v6i1.186

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