Title :
On the non-negative impulse response of continuous-time multi-dimensional systems
Author :
Liu, Y. ; Bauer, Peter H.
Author_Institution :
Univ. of Notre Dame, Notre Dame, IN, USA
Abstract :
This paper presents sufficient conditions on 1-D pole-zero patterns that exhibit a non-negative impulse response (NNIR) for several classes of multi-dimensional (m-D) hyper-planar filters in the continuous-time (C-T) domain. The results provide some intuitive ideas about 1-D to m-D variable substitutions that preserve the positivity/non-negativity property, and are useful for constructing m-D NNIR filters from 1-D prototypes.
Keywords :
continuous time filters; filtering theory; transient response; 1D pole-zero patterns; continuous-time multidimensional systems; m-D NNIR filters; m-D variable substitutions; multidimensional hyper-planar filters; nonnegative impulse response; positivity-nonnegativity property; Communication system control; Control systems; Multidimensional signal processing; Multidimensional systems; Optical filters; Optical imaging; Optical signal processing; Polynomials; Process control; Sufficient conditions;
Conference_Titel :
Communications, Control and Signal Processing (ISCCSP), 2010 4th International Symposium on
Conference_Location :
Limassol
Print_ISBN :
978-1-4244-6285-8
DOI :
10.1109/ISCCSP.2010.5463470
