-Channel Compactly Supported Biorthogonal Cosine-Modulated Wavelet Bases
نویسندگان
چکیده
In this correspondence, we generalize the theory of compactly supported biorthogonal two-channel wavelet bases to M -channel. A sufficient condition for the M -channel perfect reconstruction filter banks to constructM -channel biorthogonal bases of compactly supported wavelets is derived. It is shown that the construction of biorthogonal M -channel wavelet bases is equivalent to the design of a M -channel perfect reconstruction filter bank with some added regularity conditions. A family of M -channel biorthogonal wavelet bases based on the cosinemodulated filter bank (CMFB) is proposed. It has the advantages of simple design procedure, efficient implementation, and good filter quality. A new method for imposing the regularity on the CMFB’s is also introduced, and several design examples are given.
منابع مشابه
Rights Creative Commons: Attribution 3.0 Hong Kong License M-channel Cosine-Modulated Wavelet Bases
In this paper, we propose a new M-channel wavelet bases called the cosine-modulated wavelets. We first generalize the theory of two-channel biorthogonal compactly supported wavelet bases to the M-channel case. A sufficient condition for the M-channel perfect reconstruction filter banks to construct M-channel compactly supported wavelet bases is given. By using this condition, a family of orthog...
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