Title :
Multidimensional PR Filter Banks with FIR Filters
Author_Institution :
Dept. of Math., Prairie View A&M Univ., TX
Abstract :
Multidimensional perfect reconstruction quadrature mirror filter (QMF) banks with finite impulse response (FIR) filters induced from systems of biorthogonal multivariate scaling functions and wavelets are investigated. In particular, bivariate scaling functions and wavelets with dilation as an expansive integer matrix whose determinant is two in absolute value are considered. Demonstrative quincunxial examples are explicitly given
Keywords :
FIR filters; channel bank filters; image reconstruction; matrix algebra; quadrature mirror filters; biorthogonal multivariate scaling function; bivariate scaling function; expansive integer matrix; finite impulse response filter; multidimensional perfect reconstruction filter bank; quadrature mirror filter bank; quincunx biorthogonal wavelets; Filter bank; Finite impulse response filter; Fourier transforms; Image coding; Image reconstruction; Mathematics; Mirrors; Multidimensional systems; Refining; USA Councils;
Conference_Titel :
Communications, Circuits and Systems Proceedings, 2006 International Conference on
Conference_Location :
Guilin
Print_ISBN :
0-7803-9584-0
Electronic_ISBN :
0-7803-9585-9
DOI :
10.1109/ICCCAS.2006.284610
