Abstract
It has been shown that principal component filter banks (PCFB) are optimum orthonormal filter banks for subband coding for the uniform case in which all decimation ratios are the same. In this paper we present the analogous results for the nonuniform case. In contrast to the uniform case where there is only one PCFB, there are more than one PCFB in the nonuniform case. For a fixed set of decimation ratios, there are as many PCFB as the total number of permutations of the decimation ratios. For a fixed number of channels M, we show that there are finitely many sets of decimation ratios that a nonuniform filter bank can have. We show that one of the PCFB corresponding to a particular set of decimation ratios with a particular permutation is an optimum M-channel nonuniform orthonormal filter bank for subband coding. As in the uniform case, the results are valid at arbitrary bit rates.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
