Weighted least-squares method for designing variable fractional delay 2-D FIR digital filters

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

Volumn 47, Issue 2, 2000, Pages 114-124

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

^a TOHO UNIVERSITY   (Japan)

^b UNIVERSITY OF VICTORIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; ELECTRIC NETWORK SYNTHESIS; LEAST SQUARES APPROXIMATIONS; MATRIX ALGEBRA; OPTIMIZATION; POLYNOMIALS; TRANSFER FUNCTIONS;

VARIABLE FRACTIONAL DELAY FILTERS; WEIGHTED LEAST SQUARES METHOD;

FIR FILTERS;

EID: 0033900547     PISSN: 10577130     EISSN: None     Source Type: Journal    
DOI: 10.1109/82.821551     Document Type: Article

References (27)

1. P. Jarske, Y. Neuve, and S. K. MitraA 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. L. J. Karam and J. H. McClellanEfficient design of families of FIR filters by transformations," in Proc. IEEE Int. Conf. Acoustics, Speech and Signal Processing (ICASSP'96), vol. 3, May 1996, pp. 1359-1362.
3. _Efficient design of digital filters for 2-D and 3-D depth migration," IEEE Trans. Signal Processing, vol. 45, pp. 1036-1044, Apr. 1997.
4. T.-B. DengVariable 2-D FIR digital filter design and parallel implementation," IEEE Trans. Circuits Syst. II, vol. 46, pp. 631-635, May 1999.
5. R. Zarour and M. M. FahmyA design technique for variable digital filters," IEEE Trans. Circuits Syst., vol. 36, pp. 1473-1478, Nov. 1989.
6. T.-B. DengDesign of recursive 1-D variable filters with guaranteed stability," IEEE Trans. Circuits Syst. II, vol. 44, pp. 689-695, Sept. 1997.
7. R. Zarour and M. M. FahmyA design technique for variable two-dimensional recursive digital filters," Signal Processing, vol. 17, no. 2, pp. 175-182,June 1989.
8. T.-B. DengDesign of variable 2-D linear phase recursive digital filters with guaranteed stability," IEEE Trans. Circuits Syst. I, vol. 45, pp. 859-863, Aug. 1998.
9. _Design of linear phase variable 2-D digital filters using real-complex decomposition," IEEE Trans. Circuits Syst. II, vol. 45, pp. 330-339, Mar. 1998.
10. G. Stoyanov and M. KawamataVariable digital filters," J. Signal Processing, vol. 1, no. 4, pp. 275-289, July 1997.
11. F. M. GardnerInterpolation in digital modems-Part I: Fundamentals," IEEE Trans. Commun., vol. 41, pp. 502-508, Mar. 1993.
12. L. Erup, F. M. Gardner, and F. A. HarrisInterpolation in digital modems-Part II: Implementation and performance," IEEE Trans. Commun., vol. 41, pp. 998-1008, June 1993.
13. V Valimaki, T. I. Laakso, and J. MackenzieElimination of transients in time-varying allpass fractional delay filters with application to digital waveguide modeling," in Proc. Int. Computer Music Conf. (ICMC-95), Banff, Canada, Sept. 1995, pp. 327-334.
14. V ValimakiDiscrete-Time Modeling of Acoustic Tubes Using Fractional Delay Filters," Doctoral, Helsinki Univ. Technol., Faculty of Electrical Eng., Laboratory of Acoustics and Audio Signal Processing, Espoo, Finland, Dec. 1995.
15. T. I. Laakso, V Valimaki, M. Karjalainen, and U. K. LaineSplitting the unit delay: Tools for fractional delay filter design," IEEE Signal Processing Mag., vol. 13, pp. 30-60, Jan. 1996.
16. C. W. FarrowA continuously variable digital delay elements," in Proc. 1988 IEEE Int. Symp. Circuits and Systems (ISCAS'88), vol. 3, Espoo, Finland, June 1988, pp. 2641-2645.
17. P. J. Kootsookos and R. C. WilliamsonFIR approximation of fractional sample delay systems," IEEE Trans. Circuits Syst. II, vol. 43, pp. 269-271, Mar. 1996.
18. A. Tarczynski, G. D. Cain, E. Hermanowicz, and M. RojewskiWLS design of variable frequency response FIR filters," in Proc. 1997 IEEE Int. Symp. Circuits and Systems (ISCAS '97), Hong Kong, June 1997, pp. 2244-2247.
19. W.-S. Lu and T.-B. DengAn improved weighted least-squares design of FIR digital filters with variable fractional delay," in Proc. 1999 IEEE Int. Symp. Circuits and Systems (ISCAS'99), vol. Ill, FL, May -June 1999, pp. 383-386.
20. H. S. Hou and H. C. AndrewsCubic splines for image interpolation and digital filtering," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-26, pp. 508-517, Dec. 1978.
21. R. G. KeysCubic convolution intgerpolation for digital image processing," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-29, pp. 1153-1160, Dec. 1981.
22. J. A. Park, R. V Kenyon, and D. E. TroxelComparison of interpolation methods for image resampling," IEEE Trans. Med. Imag., vol. 2, pp. 31-39, Mar. 1983.
23. E. MaelandOn the comparison of interpolation methods," IEEE Trans. Med. Imag., vol. MI-7, pp. 213-217, Sept. 1988.
24. N. A. DodgsonQuadratic interpolation for image resampling," IEEE Trans. Image Processing, vol. 6, pp. 1322-1326, Sept. 1997.
25. R. A. Horn and C. R. Johnson, Matrix Analysis. Cambridge, U.K.: Cambridge Univ. Press, 1985.
26. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C, 2nd ed. Cambridge, U.K.: Cambridge Univ. Press, 1992.
27. E. Hermanowicz, M. Rojewski, G. D. Cain, and A. TarczynskiSpecial discrete-time filters having fractional delay," Signal Processing, vol. 67, no. 3, pp. 279-289, June 1998.