An improved weighted least-squares design for variable fractional delay fir filters

IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing

Volumn 46, Issue 8, 1999, Pages 1035-1040

  Lu, Wu Sheng ^a   Deng, Tian Bo ^b  

^a UNIVERSITY OF VICTORIA   (Canada)

^b TOHO UNIVERSITY   (Japan)

Author keywords

Digital filters; Variable fractional delay filters; Weighted least squares design

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; DIGITAL SIGNAL PROCESSING; ELECTRIC NETWORK SYNTHESIS; FREQUENCY RESPONSE; IMAGE PROCESSING; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS;

VARIABLE DIGITAL FILTERS; VARIABLE FRACTIONAL DELAY FINITE IMPULSE RESPONSE FILTERS; WEIGHTED LEAST SQUARES DESIGN;

FIR FILTERS;

EID: 0033308746     PISSN: 10577130     EISSN: None     Source Type: Journal    
DOI: 10.1109/82.782046     Document Type: Article

References (21)

1. P. Jarske, Y. Neuve, and S. K. Mitra, "A simple approach to the design of linear phase FIR digital filters with variable characteristics," Signal Processing, vol. 14, no. 4, pp. 313-326, June 1988.
2. R. Zarour and M. M. Fahmy, "A design technique for variable digital filters," IEEE Trans. Circuits Syst., vol. 36, pp. 1473-1478, Nov. 1989.
3. "A design technique for variable two-dimensional recursive digital filters," Signal Processing, vol. 17, no. 2, pp. 175-182, June 1989.
4. T.-B. Deng, "Design of recursive 1-D variable filters with guaranteed stability," IEEE Trans. Circuits Syst. 11, vol. 44, pp. 689-695, Sept. 1997.
5. "Design of variable 2-D linear phase recursive digital filters with guaranteed stability," IEEE Trans. Circuits Syst. I, vol. 45, pp. 859-863, Aug. 1998.
6. "Design of linear phase variable 2-D digital filters using realcomplex decomposition," IEEE Trans. Circuits Syst. II, vol. 45, pp. 330-339, Mar. 1998.
7. L. J. Karam and J. H. McClellan, "Efficient design of families of FIR filters by transformations," in Proc. IEEE Int. Conf. Acoustics, Speech, and Signal Processing, May 1996, vol. 3, pp. 1359-1362.
8. "Efficient design of digital filters for 2-D and 3-D depth migration," IEEE Trans. Signal Processing, vol. 45, pp. 1036-1044, Apr. 1997.
9. F. M. Gardner, "Interpolation in digital modems-Part I: Fundamentals," IEEE Trans. Commun., vol. 41, pp. 502-508, Mar. 1993.
10. L. Erup, F. M. Gardner, and F. A. Harris, "Interpolation in digital modems-Part II: Implementation and performance," IEEE Trans. Commun., vol. 41, pp. 998-1008, June 1993.
11. V. Valimaki, T. I. Laakso, and J. Mackenzie, "Elimination of transients in time-varying allpass fractional delay filters with application to digital waveguide modeling," in Proc. Int. Computer Music Conf. '95, Banff, Canada, pp. 327-334.
12. V. Valimaki, "Discrete-time modeling of acoustic tubes using fractional delay filters," Doctoral thesis, Lab. Acoust. and Audio Signal Processing, Faculty of Elect. Eng., Helsinki Univ. of Technol., Espoo, Finland, Dec. 1995.
13. G. Stoyanov and M. Kawamata, "Variable digital filters," J. Signal Processing. Japan: MYU Press, vol. 1, no. 4, pp. 275-289, July 1997.
14. T. I. Laakso, V. Valimaki, M. Karjalainen, and U. K. Laine, "Splitting the unit delay: Tools for fractional delay filter design," IEEE Signal Processing Mag., vol. 13, pp. 30-60, Jan. 1996.
15. C. W. Farrow, "A continuously variable digital delay elements," in Proc. 1988 IEEE Int. Symp. Circuits and Systems, Espoo, Finland, vol. 3, pp. 2641-2645.
16. P. J. Kootsookos and R. C. Williamson, "FIR approximation of fractional sample delay systems," IEEE Trans. Circuits Syst. II, vol. 43, pp. 269-271, Mar. 1996.
17. 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, pp. 2244-2247.
18. W.-S. Lu and T.-B. Deng, "An improved weighted least-squares design of FIR digital filters with variable fractional delay," in Proc. 1999 IEEE Int. Symp. Circuits and Systems, Orlando, FL, May 1999.
19. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C, 2nd ed. Cambridge, MA: Cambridge Univ. Press, 1992.
20. G. H. Golub and C. F. Van Loan, Matrix Computations, 2nd ed. Baltimore, MD: The Johns Hopkins Press, 1989.
21. L. L. Scharf, Statistical Signal Processing. Reading, MA: Addison-Wesley, 1991.