DocumentCode :
2357744
Title :
An efficient technique for the design of 2-D recursive digital filters with guaranteed stability
Author :
Hinamoto, Takao ; Doi, Akimitsu
Author_Institution :
Fac. of Eng., Hiroshima Univ., Japan
fYear :
1994
fDate :
5-8 Dec 1994
Firstpage :
430
Lastpage :
435
Abstract :
A technique is developed for designing two-dimensional (2-D) recursive digital filters with guaranteed stability. The filter is described by a 2-D rational transfer function which corresponds to a linear difference equation with either rectangular or triangular input and output masks. In the case of rectangular (triangular) input and output masks, the denominator polynomial is derived from the stable matrix of the Roesser model (the Fornasini-Marchesini second model). In the proposed technique, the denominator and numerator of the filter are designed separately and recursively. First, the denominator coefficients are found by minimizing a performance index through the alternating variable method. The numerator coefficients are then determined analytically by solving linear simultaneous equations. The above process will be repeated until there is negligible change in the objective function. Finally, a numerical example is given to illustrate the utility of the proposed technique
Keywords :
circuit stability; filtering theory; recursive filters; transfer functions; two-dimensional digital filters; 2D rational transfer function; 2D recursive digital filters; Fornasini-Marchesini second model; Roesser model; alternating variable method; denominator coefficients; denominator polynomial; linear difference equation; linear simultaneous equations; numerator coefficients; objective function; performance index; stability; stable matrix; two-dimensional filters; Design engineering; Difference equations; Digital filters; Gravity; Magnetic separation; Nonlinear filters; Performance analysis; Polynomials; Stability; Transfer functions;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Circuits and Systems, 1994. APCCAS '94., 1994 IEEE Asia-Pacific Conference on
Conference_Location :
Taipei
Print_ISBN :
0-7803-2440-4
Type :
conf
DOI :
10.1109/APCCAS.1994.514588
Filename :
514588
Link To Document :
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