Title :
Theory of filter banks over finite fields
Author :
Cooklev, Todor ; Nishihara, Akinori ; Sablatash, Mike
Author_Institution :
Dept. of Phys. Electron., Tokyo Inst. of Technol., Japan
Abstract :
The theory of digital filter banks for subband coding is well developed. The purpose of this paper is to develop an analogous framework for the multiresolution analysis of sequences of elements belonging to a finite field. The discussion starts with analysis of decimation and interpolation over finite fields. N-band digital filters are defined over finite fields. Then filter banks are studied. A design theory of orthogonal and biorthogonal filter banks is advanced and examples are given
Keywords :
Galois fields; digital filters; discrete Fourier transforms; filtering theory; interpolation; wavelet transforms; biorthogonal banks; decimation; design theory; digital filter; filter banks; finite fields; interpolation; multiresolution analysis; orthogonal banks; sequences; subband coding; Channel bank filters; Digital filters; Discrete Fourier transforms; Filter bank; Finite impulse response filter; Galois fields; Image coding; Interpolation; Sampling methods; Signal processing algorithms;
Conference_Titel :
Circuits and Systems, 1994. APCCAS '94., 1994 IEEE Asia-Pacific Conference on
Conference_Location :
Taipei
Print_ISBN :
0-7803-2440-4
DOI :
10.1109/APCCAS.1994.514560
