Generalized digital butterworth filter design

IEEE Transactions on Signal Processing

Volumn 46, Issue 6, 1998, Pages 1688-1694

  Selesnick, Ivan W ^a   Sidney Burrus, C ^a  

^a POLYTECHNIC UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; ELECTRIC NETWORK SYNTHESIS; FREQUENCY RESPONSE; POLES AND ZEROS;

GENERALIZED DIGITAL BUTTERWORTH FILTERS;

DIGITAL FILTERS;

EID: 0032095651     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.678493     Document Type: Article

References (24)

1. T. Cooklev and A. Nishihara, "Maximally flat FIR filters," in Proc. IEEE Int. Symp. Circuits Syst. (ISCAS). Chicago, IL, May 3-6, 1993, vol. 1, pp. 96-99.
2. C. Herley and M. Vetterli, "Wavelets and recursive filter banks," IEEE Trans. Signal Processing, vol. 41, pp. 2536-2556, Aug. 1993.
3. O. Herrmann, "On the approximation problem in nonrecursive digital filter design," IEEE Trans. Circuit Theory, vol. 18, pp. 411113, May 1971.
4. L. B. Jackson, "An improved Martinez/Parks algorithm for IIR design with unequal numbers of poles and zeros," IEEE Trans. Signal Processing, vol. 42, pp. 1234-1238, May 1994.
5. B. C. Jinaga and S. C. Dutta Roy, "Coefficients of maximally flat low and high pass nonrecursive digital filters with specified cutoff frequency," Signal Process., vol. 9, no. 2, pp. 121-124, Sept. 1985.
6. J. F. Kaiser, "Design subroutine (MXFLAT) for symmetric FIR low pass digital filters with maximally-flat pass and stop bands," in Proc. IEEE ASSP Soc. Dig. Signal Process. Committ. Programs Dig. Signal Process., 1979, pp. 5.3-1-5.3-6, ch. 5.3.
7. F. Oberhettinger, "Hypergeometric functions," in Handbook of Mathematical Functions, M. Abromowitz and I. A. Stegun, Eds. New York: Dover, 1970, ch. 15.
8. H. J. Orchard, "The roots of maximally flat-delay polynomials," IEEE Trans. Circuit Theory, vol. CT-12, pp. 452154, Sept. 1965.
9. T. W. Parks and C. S. Burrus, Digital Filter Design. New York: Wiley, 1987.
10. L. R. Rabiner and C. M. Rader, Eds., Digital Signal Processing. New York: IEEE, 1972.
11. J. Riordan, Combinatorial Identities. New York: Wiley, 1968.
12. T. Saramäki, "Design of optimum recursive digital filters with zeros on the unit circle," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-31, pp. 45058, Apr. 1983.
13. "Design of digital filters with maximally flat passband and equiripple stopband magnitude," Int. J. Circuit Theory Applicat., vol. 13, no. 2, pp. 269-286, Apr. 1985.
14. T. Saramäki and Y. Neuvo, "IIR filters with maximally flat passband and equiripple stopband," in Proc. Europ. Conf. Circuit Theory Des., 1980, pp. 468-473.
15. I. W. Selesnick, "Maximally flat lowpass filters realizable as allpass sums," submitted for publication.
16. "New techniques for digital filter design," Ph.D. dissertation, Rice Univ., Houston, TX, 1996.
17. "Formulas for orthogonal IIR wavelets," IEEE Trans. Signal Processing, vol. 46, pp. 1138-1141, Apr. 1998.
18. I. W. Selesnick and C. S. Burrus, "Generalized digital Butterworth filter design," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process. (ICASSP), Atlanta, GA, May 7-10, 1996, vol. 3, pp. 1367-1370.
19. "Maximally-flat lowpass FIR filters with reduced delay," IEEE Trans. Circuits Syst. II, vol. 45, pp. 53-68, Jan. 1998.
20. P. Thajchayapong, M. Puangpool, and S. Banjongjit, "Maximally flat FIR filter with prescribed cutoff frequency," Electron. Lett., vol. 16, no. 13, pp. 514-515, June 19, 1980.
21. J. P. Thiran, "Recursive digital filters with maximally flat group delay," IEEE Trans. Circuit Theory, vol. CT-18, pp. 659-664, Nov. 1971.
22. R. Unbehauen, "On the design of recursive digital low-pass filters with maximally flat pass-band and Chebyshev stop-band attenuation," in Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), 1981, pp. 528-531.
23. P. P. Vaidyanathan, "On maximally-flat linear-phase FIR filters," IEEE Trans. Circuits Syst., vol. CAS-31, pp. 830-832, Sept. 1984.
24. P. P. Vaidyanathan, Multirate Systems and Filter Banks. Englewood Cliffs, NJ, Prentice-Hall, 1992.