Title :
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
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;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 2001. Proceedings. (ICASSP '01). 2001 IEEE International Conference on
Conference_Location :
Salt Lake City, UT
Print_ISBN :
0-7803-7041-4
DOI :
10.1109/ICASSP.2001.940635
