Title :
Separation of 2-D nonsingular MIMO digital filters into a cascade of 1-D filters
Author :
Tan, Shaohua ; Vandewalle, Joos
Author_Institution :
Dept. of Electr. Eng., Katholieke Univ. Leuven, Heverlee, Belgium
fDate :
7/1/1988 12:00:00 AM
Abstract :
A simple algebraic criterion is presented to check if a given 2-D MIMO (multi-input/multioutput) filter described by a nonsingular transfer matrix is in fact a cascade of two 1-D filters with a minimal number of inputs and outputs. The criterion offers the advantage that whenever a filter is found to be separable, it is almost trivial to construct the two 1-D filters
Keywords :
filtering and prediction theory; matrix algebra; two-dimensional digital filters; 1-D filters; cascade; multi-input/multioutput; nonsingular MIMO digital filters; nonsingular transfer matrix; Acoustic signal processing; Artificial intelligence; Conformal mapping; Digital filters; Equations; MIMO; Speech processing; Stability analysis;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on