Weighted-least-squares design of variable fractional-delay FIR filters using coefficient symmetry

IEEE Transactions on Signal Processing

Volumn 54, Issue 8, 2006, Pages 3023-3038

  Deng, Tian Bo ^a   Lian, Yong ^b  

^a TOHO UNIVERSITY   (Japan)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Coefficient constraint; Coefficient symmetry; Taylor series expansion; Variable digital filter; Variable fractional delay (VFD) filter; Weighted least squares (WLS) design

Indexed keywords

COSINE TRANSFORMS; ERROR ANALYSIS; INTEGRAL EQUATIONS; NUMERICAL METHODS; OPTIMAL SYSTEMS;

COEFFICIENT CONSTRAINT; COEFFICIENT SYMMETRY; TAYLOR SERIES EXPANSION; VARIABE FRACTIONAL DELAY FILTER; VARIABLE DIGITAL FILTER; WEIGHTED LEAST SQUARES DESIGN;

FIR FILTERS;

EID: 33746477624     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2006.875385     Document Type: Article

References (29)

1. R. Zarour and M. M. Fahmy, "A design technique for variable digital filters," IEEE Trans. Circuits Syst., vol. 36, no. 11, pp. 1473-1478, Nov. 1989.
2. T.-B. Deng and T. Soma, "Variable digital filter design using the outer product expansion," Proc. Inst. Elect. Eng., Vision, Image Signal Processing, vol. 141, no. 2, pp. 123-128, Apr. 1994.
3. T.-B. Deng, "Design of recursive 1-D variable filters with guaranteed stability," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 44, no. 9, pp. 689-695, Sep. 1997.
4. T.-B. Deng, "Design of linear phase variable 2-D digital filters using real-complex decomposition," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 45, no. 3, pp. 330-339, Mar. 1998.
5. T.-B. Deng, "Design of variable 2-D linear phase recursive digital filters with guaranteed stability," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 45, no. 8, pp. 859-863, Aug. 1998.
6. T.-B. Deng, "Design of linear-phase variable 2-D digital filters using matrix-array decomposition," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 50, no. 6, pp. 267-277, Jun. 2003.
7. T.-B. Deng, "Decomposition-based design of linear phase variable digital filters," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 46, no. 3, pp. 399-402, Mar. 1999.
8. T.-B. Deng, "Variable 2-D FIR digital filter design and parallel implementation," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 46, no. 5, pp. 631-635, May 1999.
9. T.-B. Deng, "Weighted least-squares method for designing arbitrarily variable 1-D FIR digital filters," Signal Process., vol. 80, no. 4, pp. 597-613, Apr. 2000.
10. D. B. H. Tay, S. S. Abeysekera, and A. P. Balasuriya, "Audio signal processing via harmonic separation using variable Laguerre filters," in Proc. 2003 IEEE Int. Symp. Circuits Systems, Bangkok, Tbailand, May 25-28, 2003, vol. III, pp. 558-561.
11. T. Shinbo, Y. Sugita, N. Aikawa, T. Kimura, T. Moriti, and Y. Wakasa, "The design of the stopbands variable FIR digital filter using spectral parameter," in Proc. IEEE PacRim'03, Victoria, BC, Canada, Sep. 2003, pp. 90-93.
12. S.-C. Chan, C. K. S. Pun, and K.-L. Ho, "A new method for desigming FIR filters with variable characteristics," IEEE Signal Process. Lett., vol. 11, no. 2, pp. 274-277, Feb. 2004.
13. C. W. Farrow, "A continuously variable digital delay element," in Proc. 1988 IEEE Int. Symp. Circuits and Systems, Espoo, Finland, Jun. 6-9, 1988, vol. 3, pp. 2641-2645.
14. G.-S. Liu and C.-W. Wei, "A new variable fractional sample delay filter with nonlinear interpolation," IEEE Trans. Circuits Syst. II Analog Digit. Signal Process., vol. 39, no. 2, pp. 123-126, Feb. 1992.
15. F. M. Gardner, "Interpolation in digital modems - Part I: Fundamentals," IEEE Trans. Commun., vol. 41, no. 3, pp. 502-508, Mar. 1993.
16. T.-B. Deng, "High-resolution image interpolation using two-dimensional Lagrange-type variable fractional-delay filter," in IEICE Technical Report, Hirosaki, Japan, Mar. 2005, vol. SIS2004-60, pp. 27-30.
17. T.-B. Deng and W.-S. Lu, "Weighted least-squares method for designing variable fractional delay 2-D FIR digital filters," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 47, no. 2, pp. 114-124, Feb. 2000.
18. A. Tarczynski, G. D. Cain, E. Hermanowicz, and M. Rojewski, "WLS design of variable frequency response FIR filters," in Proc. 1997 IEEE Int. Symp. Circuits and Systems, Hong Kong, Jun. 9-12, 1997, pp. 2244-2247.
19. 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.
20. T.-B. Deng, "Discretization-free design of variable fractional-delay FIR digital filters," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 48, no. 6, pp. 637-644, Jun. 2001.
21. T.-B. Deng, "Design and parallel implementation of FIR digital filters with simultaneously variable magnitude and non-integer phase-delay," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 50, no. 5, pp. 243-250, May 2003.
22. 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.
23. T.-B. Deng, "Symmetry-based low-complexity variable fractional-delay FIR filters," in Proc. 2004 IEEE Int. Symp. Communications Information Technologies (ISCIT'04), Sapporo, Japan, Oct. 26-29, 2004, pp. 194-199.
24. C.-C. Tseng, "Design of variable fractional delay FIR filters using symmetry," in Proc. 2004 IEEE Int. Symp. Circuits and Systems, Vancouver, Canada, May 23-26, 2004, vol. III, pp. 477-480.
25. J. Vesma, and T. Saramaki, "Optimization and efficient implementation of FIR filters with adjustable fractional delay," in Proc. IEEE Int. Symp. Circuits and Systems, Hong Kong, Jun. 9-12, 1997, vol. IV, pp. 2256-2259.
26. C.-C. Tseng, "Design of variable fractional delay FIR filters using differentiator bank," in Proc. 2002 IEEE Int. Symp. Circuits and Systems, Phoenix, AZ, May 26-29, 2002, vol. IV, pp. 421-424.
27. H. Johansson and P. Lowenborg, "On the design of adjustable fractional delay FIR filters," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 50, no. 4, pp. 164-169, Apr. 2003.
28. 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.
29. T.-B. Deng, "Design of arbitrary-phase variable digital filters using SVD-based vector-array decomposition," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 52, no. 1, pp. 148-167, Jan. 2005.