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Volume 25 Issue 5
May  2003
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Pan Xingde, Guo Jun. The equivalence of time-analysis and frequency-analysis of the cosine modulated filter bank and its application[J]. Journal of Electronics & Information Technology, 2003, 25(5): 619-625.
Citation: Pan Xingde, Guo Jun. The equivalence of time-analysis and frequency-analysis of the cosine modulated filter bank and its application[J]. Journal of Electronics & Information Technology, 2003, 25(5): 619-625.

The equivalence of time-analysis and frequency-analysis of the cosine modulated filter bank and its application

  • Received Date: 2002-01-28
  • Rev Recd Date: 2002-07-04
  • Publish Date: 2003-05-19
  • Cosine Modulated Filter(CMF) bank is a kind of broadly used filter bank. By proving the equivalence of the Perfect Reconstruction(PR) conditions of time-analysis and frequency-analysis, the inherent relationship between Time Domain Aliasing Cancellation(TDAC) and CMF is found. By the means, the useful results of the two methods can be conveniently. Finally, a new kind of nonuniform filter bank is built based on TDAC which can be easily modified to audio coding in accord with psychoacoustics.
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  • H.S. Malvar, Biorthogonal and nonuniform lapped transforms for transform coding with reduced blocking and ringing artifacts, IEEE Trans. on Signal Processing, 1998, SP-46(4), 1043-1053.[2]H.S. Malvar, Lapped biorthogonal transforms for transform coding with reduced blocking and ringing artifacts, Proc. IEEE Int. Conf. on Acoustics, Speech, and Signal Processing, Munich,April 1997, 2421-2424.[3]S.F. Cheung, J. S. Lim, Incorporation of biorthogonality into lapped transforms for audio compression, Proc. IEEE Int. Conf. on Acoustics, Speech, and Signal Processing, Detroit, May 1997,3079-3082.[4]J. Princen, A. W. Johnson, A. B. Bradley, Subband/transform coding using filter bank designs based on time domain aliasing cancellation, Proc. IEEE Int. Conf. on Acoustics, Speech, and Signal Processing, Dallas, April 1987, 2161-2164.[5]G. Smart, A. B. Bradley, Filter bank design based on time domain aliasing cancellation with non-identical windows, Proc. IEEE Int. Conf. on Acoustics, Speech, and Signal Processing,Adelaide(Austrilia), Apr., 1994, Ⅲ185-Ⅲ188.[6]P.P. Vaidynathan, Multirate Systems and Filter Banks[M], Englewood Cliffs, NJ, Prentice Hall,1993, 353-391.[7]T.D. Tran, Linear phase perfect reconstruction filter banks: Thoery, structure, design, and pplication in image compression, [ Ph. D. thesis], University of Wisconsin, Madison, WI, May 1998.[8]J.J. Lee, B. G Lee, A design of nonuniform cosine modulated filter banks, IEEE Trans. on Circuits and Systems-Ⅱ: Anolog and Digital Signal Processing, 1995, 42(11), 732-736.[9]P.N. Heller, T. Karp, T. Q. Nguyen, A general formulation of modulated filter banks, IEEE Trans. on Signal Processing, 1999, SP-47(4), 986-1002.[10]T. Karp, A. Mertins, G. Schuller, Recent trends in the design of biorthogonal nodulated filter banks, In Proc. TICSP Workshop on Transforms and Filter Banks, Tampere, Finland, February,1998. http: / / webpages.acs.ttu.edu / tkarp / publicatio ns.html.[11]S.C. Chan, A. Nallanathan, T. S. Ng, C. K. Kwok, A class of m-channel linear-phase biorthogonal filter banks and their applications to subband coding, IEEE Trans. on Signal Processing, 1999,SP-47(2), 564-571.[12]X.D. Pan, J. Guo, The technology of multiresolution analysis based on cosine modulated filter bank, Proceeding of the Int. Conf. on Telecom, 2002, Vol. 1, Beijing, June 2002, 281-285.
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