A second-order cone programming approach for minimax design of 2-D FIR filters with low group delay

Proceedings - IEEE International Symposium on Circuits and Systems

Volumn , Issue , 2006, Pages 2521-2524

  Lu, Wu Sheng ^a   Hinamoto, Takao ^b  

^a UNIVERSITY OF VICTORIA   (Canada)

^b HIROSHIMA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; LINEAR SYSTEMS; QUADRATIC PROGRAMMING;

2D FIR FILTERS; GROUP DELAY; MINIMAX DESIGN; SECOND ORDER CONE PROGRAMMING (SOCP);

FIR FILTERS;

EID: 34547443370     PISSN: 02714310     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (9)

1. J. H. McClellan and T. W. Parks, "Equiripple approximation of fan filters," Geophysics, vol. 7, pp. 573-583, 1972.
2. Y. Kamp and J. P. Thiran, "Chebyshev approximation for two-dimensional nonrecursive digital filters," IEEE Trans. Circuits Syst., vol. 22, pp. 208-218, March 1975.
3. C. Charalambous, "The performance of an algorithm of minimax design of two-dimensional linear phase FIR figital filters," IEEE Trans. Circuits Syst., vol. 32, pp. 1016-1028, Oct. 1985.
4. D. T. Nguyen and M. N. S. Swamy, "Approximation design of 2-D digital filters with elliptical magnitude response of arbitrary orientation," IEEE Trans. Circuits Syst., vol. 33, pp. 597-603, June 1986.
5. W.-P. Zhu, M. O. Ahmad, and M. N. S. Swamy, "A closed-form solution to the least-square design problem of 2-D linear-phase FIR filters," IEEE Trans. Circuits Syst., II, vol. 44, pp. 1032-1039, Dec. 1997.
6. W.-S. Lu, "A unified approach for the design of 2-D digital filters via semidefinite programming," IEEE Trans. Circuits Syst., vol. 49, pp. 814- 826, June 2002.
7. W.-S. Lu and T. Hinamoto,"A new minimax design for 2-D FIR filters with low group delay," ISCAS'2005, pp. 2028-2031, Kobe, Japan, May 2005.
8. M. S. Lobo, L. Vandenberghe, S. Boyd, and H. Lebret, "Applications of second-order cone programming," Linear Algebra and Applications, vol. 248, pp. 193-228, Nov. 1998.
9. J. F. Sturm, "Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones," Optimization Methods and Software, vol. 11-12, pp. 625-653, 1999. (Version 1.1 R2 of SeDuMi is available at http://sedumi.mcmaster.ca/)