Maxflat fractional delay IIR filter design

IEEE Transactions on Signal Processing

Volumn 57, Issue 8, 2009, Pages 2950-2956

  Zhang, Xi ^a  

^a UNIVERSITY OF ELECTRO COMMUNICATIONS   (Japan)

Author keywords

Degree of flatness; Fractional delay; Infinite impulse response (IIR) digital filter; Maxflat filter design

Indexed keywords

CLOSED-FORM EXPRESSION; DEGREE OF FLATNESS; DESIGN PROBLEMS; FD FILTERS; FILTER COEFFICIENTS; FRACTIONAL DELAY; FRACTIONAL DELAY FILTERS; FREQUENCY DOMAINS; IIR FILTER DESIGN; INFINITE IMPULSE RESPONSE FILTER; INFINITE-IMPULSE-RESPONSE (IIR) DIGITAL FILTER; MAXFLAT FILTER DESIGN; SIGNAL PROCESSING APPLICATIONS; SYSTEM OF LINEAR EQUATIONS;

DESIGN; FILTER BANKS; FINITE DIFFERENCE METHOD; FIR FILTERS; FREQUENCY RESPONSE; LINEAR SYSTEMS; SIGNAL PROCESSING;

IIR FILTERS;

EID: 68249133757     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2009.2019231     Document Type: Article

References (14)

1. C. M. Rader, "The rise and fall of recursive digital filters," IEEE Signal Process. Mag., vol. 23, no. 6, pp. 46-49, Nov. 2006.
2. T. I. Laakso, V. Valimaki, M. Karjalainen, and U. K. Laine, "Splitting the unit delay," IEEE Signal Process. Mag., vol. 13, no. 1, pp. 30-60, Jan. 1996.
3. V. Valimaki and T. I. Laakso, F. A. Marvasti, Ed., "Fractional delay filters: Design and applications," in Theory and Applications of Nonuniform Sampling. New York: Kluwer, 2001.
4. G. S. Liu and C. H. Wei, "A new variable fractional sample delay filter with nonlinear interpolation," IEEE Trans. Circuits Syst. II, vol. 39, no. 2, pp. 123-126, Feb. 1992.
5. E. Hermanowicz, "Explicit formulas for weighting coefficients of maximally flat tunable FIR delayers," Electron. Lett., vol. 28, no. 20, pp. 1936-1937, Sep. 1992.
6. P. J. Kootsookos and R. C. Williamson, "FIR approximation of fractional sample delay systems," IEEE Trans. Circuits Syst. II, vol. 43, no. 3, pp. 269-271, Mar. 1996.
7. S. Samadi, A. Nishihara, and H. Iwakura, "Universal maximally flat lowpass FIR systems," IEEE Trans. Signal Process., vol. 48, no. 7, pp. 1956-1964, Jul. 2000.
8. J. P. Thiran, "Recursive digital filters with maximally flat group delay," IEEE Trans. Circuits Theory, vol. CT-18, no. 6, pp. 659-664, Jun. 1971.
9. S. Samadi, M. O. Ahmad, and M. N. S. Swamy, "Results on maximally flat fractional-delay systems," IEEE Trans. Circuits Syst. I, vol. 51, no. 11, pp. 2271-2286, Nov. 2004.
10. X. Zhang and H. Iwakura, "Design of IIR digital allpass filters based on eigenvalue problem," IEEE Trans. Signal Process., vol. 47, no. 2, pp. 554-559, Feb. 1999.
11. X. Zhang and K. Amaratunga, "Closed-form design of maximally flat IIR half-band filters," IEEE Trans. Circuits Syst. II, vol. 49, no. 6, pp. 409-417, Jun. 2002.
12. X. Zhang, D. Kobayashi, T. Wada, T. Yoshikawa, and Y. Takei, "Closed-form design of generalized maxflat R-regular FI M h-band filters using waveform moments," IEEE Trans. Signal Process., vol. 54, no. 11, pp. 4214-4222, Nov. 2006.
13. X. Zhang and D. F. Ge, "Closed-form design of maxflat R-regular IIR Mth-band filters using blockwise waveform moments," in Proc. 15th Int. Conf. Digital Signal Processing, Cardiff, Wales, UK, Jul. 2007.
14. P. H. Wang, "Peano kernels of fractional delay systems," in Proc. Int. Conf. Acoustics, Speech, Signal Processing (ICASSP), May 2007, pp. III-1477-1480.