Title :
Groebner basis techniques in multidimensional multirate systems
Author :
Kalker, Ton ; Park, Hyungju ; Vetterli, Martin
Author_Institution :
California Univ., Berkeley, CA, USA
Abstract :
The Euclidean algorithm is a frequently used tool in the analysis of one-dimensional (1D) multirate systems. This tool is however not available for multidimensional (MD) multirate systems. The authors discus how Groebner basis techniques can fill this gap. After presenting the relevant facts about Groebner bases, they show in a few examples how this technique can contribute to MD multirate systems theory
Keywords :
FIR filters; digital filters; multidimensional systems; signal sampling; Euclidean algorithm; Groebner basis techniques; MD multirate systems theory; multidimensional multirate systems; Algorithm design and analysis; Books; Channel bank filters; Ear; Filter bank; Filtering; Finite impulse response filter; Low pass filters; Multidimensional systems; Polynomials;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1995. ICASSP-95., 1995 International Conference on
Conference_Location :
Detroit, MI
Print_ISBN :
0-7803-2431-5
DOI :
10.1109/ICASSP.1995.479893