Title :
State-space representations of 2-D FIR lossless matrices and their application to the design of 2-D subband coders
Author :
Venkataraman, S. ; Levy, B.C.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., California Univ., Davis, CA, USA
Abstract :
The authors provide a general characterization of p×p lossless 2-D FIR (finite impulse response) transfer matrices of arbitrary degree in (z1, z 2). The properties of 2-D state-space realizations of such matrices are examined. It is shown that these matrices are not necessarily decomposable of a product of 1-D matrix transfer functions depending on z1 and z2 separately. An approach to the design that does not exclude any lossless filter of a given degree is presented. An illustrative example which covers a subset of the ideas discussed is presented. This example consists of a two-band lossless filter bank suitable for hexagonal subsampling
Keywords :
encoding; filtering and prediction theory; matrix algebra; state-space methods; transfer functions; two-dimensional digital filters; 2-D subband coders; 2D FIR lossless matrices; finite impulse response; hexagonal subsampling; state space representations; transfer functions; two-band lossless filter bank; Application software; Filter bank; Finite impulse response filter; Image coding; Image reconstruction; Matrix decomposition; Signal design; Signal synthesis; Speech coding; Transfer functions;
Conference_Titel :
Signals, Systems and Computers, 1991. 1991 Conference Record of the Twenty-Fifth Asilomar Conference on
Conference_Location :
Pacific Grove, CA
Print_ISBN :
0-8186-2470-1
DOI :
10.1109/ACSSC.1991.186548
