DocumentCode :
3006024
Title :
Reduction of the number of parameters in the design of 2-D digital filters
Author :
Hinamoto, Takao ; Maekawa, Sadao
Author_Institution :
Kobe University, Kobe, Japan
Volume :
11
fYear :
1986
fDate :
31503
Firstpage :
557
Lastpage :
560
Abstract :
In the filter design, an easy way of reducing the number of parameters is to choose the filter structure to be more restrictive at the expense of its accuracy to some extent. This paper deals with the design of two-dimensional separable-denominator recursive digital filters using a canonic local state-space model. Under the assumption that the filter order, i.e., the denominator order is fixed, the reduction of the total number of parameters is accomplished by adjusting the numerator order. A canonic form is used to avoid the mutual interference among parameters and to reduce the amount of calculations in the design technique using a local state-space model. A straightforward algorithm is developed via the Cayley-Hamilton theorem to find the suboptimal model which approximates a desired impulse response in some sense. This provides the initial estimate to minimize a performance index in the design and it is very crucial in order to attain a good convergence in the nonlinear optimization problem. The iteration is performed by any suitable nonlinear optimization method.
Keywords :
Convergence; Design engineering; Design optimization; Digital filters; Interference; Linear approximation; Optimization methods; Performance analysis; Systems engineering and theory; Transfer functions;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '86.
Type :
conf
DOI :
10.1109/ICASSP.1986.1169041
Filename :
1169041
Link To Document :
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