Design of 2-D IIR Filters Using Two Error Criteria with Genetic Algorithm
作者： Felicja Wysocka-Schillak
DOI: 10.1007/978-3-540-71618-1_28
关键词: Infinite impulse response 、 Mathematical optimization 、 2D Filters 、 Filter design 、 Genetic algorithm 、 Meta-optimization 、 Optimization problem 、 Mathematics 、 Filter (video) 、 Adaptive filter
摘要: The paper presents a method for designing 2-D IIR filters with quadrantally symmetric magnitude response. is based on two error criteria, i.e., equiripple criterion in the passband and least-squared stopband. Two objective functions are introduced filter design problem transformed into an equivalent bicriterion optimization problem. stability of ensured by explicitly including constraints considered A two-step solution procedure proposed. In first step, genetic algorithm applied. final point from used as starting local method. examples given to illustrate proposed technique. comparison designed using LS approach also presented.
springer.com
sci-hub.st 参考文章(16)
W-S Lu, Andreas Antoniou, None, Minimax design of 2-D IIR digital filters using sequential semidefinite programming international symposium on circuits and systems. ,vol. 3, pp. 353- 356 ,(2002) , 10.1109/ISCAS.2002.1010233
Jae S. Lim, Two-Dimensional Signal and Image Processing ,(1989)
P. Karivaratharajan, M. Swamy, Quadrantal symmetry associated with two-dimensional digital transfer functions IEEE Transactions on Circuits and Systems. ,vol. 25, pp. 340- 343 ,(1978) , 10.1109/TCS.1978.1084486
Wu-Sheng Lu, T. Hinamoto, Optimal design of IIR digital filters with robust stability using conic-quadratic-programming updates IEEE Transactions on Signal Processing. ,vol. 51, pp. 1581- 1592 ,(2003) , 10.1109/TSP.2003.811229
Qunshan Gu, M.N.S. Swamy, On the design of a broad class of 2-D recursive digital filters with fan, diamond and elliptically-symmetric responses IEEE Transactions on Circuits and Systems Ii: Analog and Digital Signal Processing. ,vol. 41, pp. 603- 614 ,(1994) , 10.1109/82.326587
B. Dumitrescu, Optimization of two-dimensional IIR filters with nonseparable and separable denominator IEEE Transactions on Signal Processing. ,vol. 53, pp. 1768- 1777 ,(2005) , 10.1109/TSP.2005.845469
Dong-Young Chang, Gil-Cho Ahn, Un-Ku Moon, Sub-1-V design techniques for high-linearity multistage/pipelined analog-to-digital converters IEEE Transactions on Circuits and Systems I-regular Papers. ,vol. 52, pp. 1- 12 ,(2005) , 10.1109/TCSI.2004.839532
D. Gorinevsky, S. Boyd, Optimization-based design and implementation of multidimensional zero-phase IIR filters IEEE Transactions on Circuits and Systems. ,vol. 53, pp. 372- 383 ,(2006) , 10.1109/TCSI.2005.856048
B.A. Shenoi, P. Misra, Design of two-dimensional IIR digital filters with linear phase IEEE Transactions on Circuits and Systems Ii: Analog and Digital Signal Processing. ,vol. 42, pp. 124- 129 ,(1995) , 10.1109/82.365353
W-S Lu, None, A unified approach for the design of 2-D digital filters via semidefinite programming IEEE Transactions on Circuits and Systems I-regular Papers. ,vol. 49, pp. 814- 826 ,(2002) , 10.1109/TCSI.2002.1010036