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M-BAND DISCRETE TIME WAVELET TRANSFORM |
Zhang Zijing; Jiao Licheng |
National Key Lab of Radar Signal Processing; Xidian University; Xi'an 710071 |
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Abstract Two-band continuous time wavelets can be obtained from infinite-level binary tree-structured QMF banks.Similarly,two-band discrete time wavelet transform can be represented as a finite-level binary tree-structured QMF banks.In this paper,two-band discrete time wavelet transforms are generalized to M-band discrete time wavelet transforms.The relationship between M-band discrete time wavelet transforms and M-band paraunitary filter banks is also investigated.It is shown that if the filter banks on each level are parannitary,the wavelet basis generated by this tree is orthonormal.
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Received: 11 February 1999
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