Closed-form design of digital IIR integrators using numerical integration rules and fractional sample delays

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 54, Issue 3, 2007, Pages 643-655

  Tseng, Chien Cheng ^a  

^a NATIONAL KAOHSIUNG UNIVERSITY OF APPLIED SCIENCES   (Taiwan)

Author keywords

Digital integrator; Finite impulse response (FIR) filter; Fractional sample delay; Gauss Legendre integration rule; Infinite impulse response (IIR) filter; Newton Cotes quadrature (NCQ) rule

Indexed keywords

DELAY CIRCUITS; FIR FILTERS; IIR FILTERS; INTEGRATION;

DIGITAL INTEGRATOR; FRACTIONAL SAMPLE DELAY; GAUSS-LEGENDRE INTEGRATION RULE;

DIGITAL DEVICES;

EID: 34047111201     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2006.887641     Document Type: Article

References (21)

1. B. Kumar, D. R. Choudhury, and A. Kumar, "On the design of linear phase FIR integrators for midband frequencies," IEEE Trans. Signal Process., vol. 44, no. 10, pp. 2391-2395, Oct. 1996.
2. 0 < π)," IEEE Trans. Signal Process., vol. 47, no. 6, pp. 1772-1775, Jun. 1999.
3. M. A. Al-Alaoui, "Novel digital integrator and differentiator," Electron. Lett., vol. 29, pp. 376-378, Feb. 1993.
4. J. Le Bihan, "Novel class of digital integrators and differentiators," Electron. Lett., vol. 29, pp. 971-973, May 1993.
5. N. Papamarkos and C. Chamzas, "A new approach for the design of digital integrators," IEEE Trans. Circuits Syst. I, Fundam. Theory App., vol. 43, no. 9, pp. 785-791, Sep. 1996.
6. M. A. Al-Alaoui, "Novel approach to designing digital differentiators," Electron. Lett., vol. 28, pp. 1376-1378, Jul. 1992.
7. M. A. Al-Alaoui, "Novel IIR differentiator from the Simpson integration rule," IEEE Trans. Circuits Syst. I, Fundam. Theory App., vol. 41, no. 2, pp. 186-187, Feb. 1994.
8. M. A. Al-Alaoui, "A class of second-order integrators and lowpass differentiators," IEEE Trans. Circuits Syst. I, Fundam. Theory App., vol. 42, no. 4, pp. 220-223, Apr. 1995.
9. T. I. Laakso, V. Valimaki, M. Karjalainen, and U. K. Laine, "Splitting the unit delay: Tool for fractional delay filter design," IEEE Signal Process. Mag., vol. 44, no. 1, pp. 30-60, Jan. 1996.
10. W. S. Lu and T. B. Deng, "An improved weighted least-squares design for variable fractional delay FIR filters," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 46, no. 8, pp. 1035-1040, Aug. 1999.
11. T. B. Deng and W. S. Lu, "Weighted least-squares method for designing variable fractional delay 2-D FIR filters," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 47, no. 2, pp. 114-124, Feb. 2000.
12. J. Vesma and T. Saramaki, "Design and properties of polynomial-based fractional delay filters," in Proc. Int. Symp. Circuits Syst., May 2000, vol. 1, pp. 104-107.
13. T. B. Deng, "Discretization-free design of variable fractional-delay FIR filters," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 48, no. 6, pp. 637-647, Jun. 2001.
14. C. C. Tseng, "Design of 1-D and 2-D variable fractional delay allpass filters using weighted least-squares method," IEEE Trans. Circuits Syst. I, Fundam. Theory App., vol. 49, no. 10, pp. 1413-1422, Oct. 2002.
15. C. C. Tseng, "Eigenfilter approach for the design of variable fractional delay FIR and allpass filters," in Proc. IEE Vis Image Signal Process, Oct. 2002, vol. 149, pp. 297-303.
16. T. B. Deng, "Closed-form design and efficient implementation of variable digital filters with simultaneously tunable magnitude and fractional-delay," IEEE Trans. Signal Process., vol. 52, no. 6, pp. 1668-1681, Jun. 2004.
17. T. B. Deng and Y. Nakagawa, "SVD-based design and new structures for variable fractional-delay digital filters," IEEE Trans. Signal Process., vol. 52, no. 9, pp. 2513-2527, Sep. 2004.
18. C. F. Van Loan, Introduction to Scientific Computing, 2nd ed. Englewood Cliffs, NJ: Prentice-Hall, 2000.
19. A. V. Oppenheim and R. W. Schafer, Discrete-Time Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1989.
20. J. H. Mathews and K. D. Fink, Numerical Methods Using MATLAB, 4th ed. Englewood Cliffs, NJ: Prentice-Hall, 2004.
21. J. F. Epperson, An Introduction to Numerical Methods and Analysis. New York: Wiley, 2002.