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Univariate 3-channel Wavelet Filter Banks from Centrally

Junqiao You, Qiuhui Chen, Yi Wang


In this note, we design a family of univariate three channel wavelet filter banks by using centrally symmetric matrices. We offer an explicit structure for centrally symmetric and orthogonal matrix of order 3 and then use it to generate filter banks. For low pass filter of this type, the matrix extension to construct high pass filters is easy to realize.

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