The minimax design of digital all-pass filters with prescribed pole radius constraint using semidefinite programming (SDP)

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

Volumn 6, Issue , 2003, Pages 413-416

  Pun, Carson K S ^a   Chan, S C ^a  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

DIGITAL COMMUNICATION SYSTEMS; IIR FILTERS; LINEAR EQUATIONS; MATRIX ALGEBRA; OPTIMIZATION;

LINEAR MATRIX INEQUALITIES;

CONSTRAINT THEORY;

EID: 0141854158     PISSN: 15206149     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (14)

1. M. Lang, "All-pass filter design and applications," IEEE Trans. Signal Processing, vol.46, pp.2505-2514, Sept.1998.
2. T. Q. Nguyen, T. I. Laakso and R. D. Koilpillai, "Eigenfilter approach for the design of all-pass filters approximating a given phase response," IEEE Trans. Signal Processing, vol. 42,pp. 2257-2263, Sept. 1994.
3. Zhang Xi and H. Iwakura, "Design of IIR digital all-pass filters based on eigenvalue problem," IEEE Trans. Signal Processing, vol. 47, pp. 554-559, Feb 1999.
4. P. A. Regalia, S. K. Mitra and P. P. Vaidyanathan, "The digital all-pass filter: a versatile signal processing building block," Proc. IEEE, vol. 76, pp. 19-37, Jan. 1988.
5. C. K. Chen and J. H. Lee, "Design of digital all-pass filters using a weighted least squares approach," IEEE Trans. Circuits Syst. II, vol. 41, pp. 346-350, May 1994.
6. S. C. Pei and J. J. Shyu, "Eigenfilter design of 1-D and 2-D IIR digital all-pass filters," IEEE Trans. Signal Processing, vol. 42, pp. 996-968, Apr. 1994.
7. M. Ikehara, H. Tanaka and H. Kuroda; "Design of IIR digital filters using all-pass networks," IEEE Trans. Circuits Syst. II, vol. 41, pp. 231-235, Mar.1994.
8. R. V. Churchill and J. W. Brown, Complex Variables and Applications. New York: McGraw-Hill, 1984.
9. M. R. Spiegel. Theory and problems of complex variables. Schaum's outline series, McGraw-Hill International Book Company. 1981.
10. A. G. Deczky, "Equiripple and minimax (Chebyshev) approximations for recursive digital filters," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-22, ppp. 98-111, 1974.
11. W. S. Lu, "Design of stable minimax IIR digital filters using semidefinite programming," in Proc. ISCAS'2000, May 28-31, 2000, Geneva, Switzerland, pp. I-355-358.
12. Z. Jing, "A new method for digital all-pass digital filter design," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-35, pp. 1557-1564, 1987.
13. M. L. Lang, "Least-Squares Design of IIR filters with Prescribed Magnitude and Phase Responses and a Pole Radius Constraint," IEEE Trans. On Signal Processing, vol. 48, Nov. 2000, pp. 3109-3121.
14. T. Saramaki and M. Renfors, "A Remez-Type algorithm for designing digital filters composed of all-pass sections based on phase approximations", Proc. IEEE ISCAS, vol. 1, pp. 571-575, Aug. 1995.