On filter banks with rational oversampling

Author

Von Borries, Ricardo F. ; De Queiro, Ricardo L. ; Burrus, C. Sidney

Author_Institution

Dept. of Electr. & Comput. Eng., Rice Univ., Houston, TX, USA

Volume

6

fYear

2001

fDate

2001

Firstpage

3657

Abstract

Despite the great popularity of critically-decimated filter banks, oversampled filter banks are useful in applications where data expansion is not a problem. We studied oversampled filter banks and showed that for some popular classes of filter banks it is not possible to obtain perfect reconstruction with rational (non-integer) oversampling ratios. Nevertheless, it is always possible to oversample the analysis filter bank by an integer factor, ie, there will be a similar synthesis bank which would provide perfect reconstruction. The analysis is carried within a time-aliasing framework development to analyze non-critically decimated filter banks

Keywords

FIR filters; channel bank filters; signal reconstruction; signal sampling; FIR filters; analysis filter bank; non-critically decimated filter banks; non-integer oversampling ratios; oversampled filter banks; perfect reconstruction; rational oversampling; synthesis bank; time-aliasing framework; Channel bank filters; Computational efficiency; Discrete Fourier transforms; Filter bank; Finite impulse response filter; Fourier transforms; Frequency; Image reconstruction; Immune system; Time domain analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 2001. Proceedings. (ICASSP '01). 2001 IEEE International Conference on

Conference_Location

Salt Lake City, UT

ISSN

1520-6149

Print_ISBN

0-7803-7041-4

Type

conf

DOI

10.1109/ICASSP.2001.940635

Filename

940635