M-channel compactly supported biorthogonal cosine-modulated wavelet bases

نویسندگان

  • Shing-Chow Chan
  • Y. Luo
  • K. L. Ho
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.

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عنوان ژورنال:
  • IEEE Trans. Signal Processing

دوره 46  شماره 

صفحات  -

تاریخ انتشار 1998