Cover
Vol. 9 No. 1 (2009)

Published: June 30, 2009

Pages: 143-156

Original Article

A New Design for Linear Phase FIR Digital Filter with Efficient Realization

Abstract

In this paper, the design of linear phase FIR digital filter using Frequency Sampling method is presented. Such design is achieved with a reduction in the maximum stop-band ripples utilizing optimal transition-band sample value throughout the use of Golden Section search method for single transition samples, and with aid of Steepest Descent method for double transition samples. The realization requirements of such filters are reduced by the use of a new analytic design. The reduction can be increased to 50% of the whole filter structure. Therefore, the designed FIR filter offers global properties, minimum stop-band, minimum pass-band, average deviation, and reduced structure complexity.

References

  1. M. A. Soderstrand, L. G. Johnson, H. Arichanthiran, M. D. Hoque, and R. Elangovan, "Reducing Hardware Requirement in FIR Filter Design," Citing Internet Sources URL http://www.elec-eng.okstate.edu/sodesr/ccasspoo.pdf
  2. R. J. Hartnett, and F. Boudreaus-Bartels, "On the Use of Cyclotomic Polynomial Prefilters for Efficient FIR Filter Design, IEEE Trans. Signal Processing, Vol. 41, No. 5, pp. 1766-1779, May 1993.
  3. D. M. Kodek, "Design of Optimal Finite Wordlength FIR Digital Filter Using Integer Programming," IFFE Trans. Acoust Speech Signal Processing, Vol. 28, pp.304-308, June 1980.
  4. L. R. Rabiner, and B. Gold, "Theory and Application of Digital Signal Processing," Prentice-Hall, Inc. Englewood Cliffs, New Jersey, 1975.
  5. L. C. Ludman, "Fundamentals of Digital Signal Processing," John Wiley & Sons, 1987.
  6. A. Antoniou, "Digital Filters Analysis and Design," McGraw-Hill, 1979.
  7. S. M. Bozic, and R. J. Chance, "Digital Filters and Signal Processing in Electronic Engineering," Harwood Publishing Limited, 1998.
  8. C. B. Rarabaugh, "Digital Filter Designer Handbook Wah C Algorithm," second edition, McGraw-Hill, 1997.
  9. A. V. Oppenheim, and R. W. Schafer," Digital Signal Processing, Prentice Hall, Inc., Englewood Cliffs, New Jersey, 1975.
  10. D. J. Xu, and M. L. Daley, "Design of Optimal Digital Filter Using a Parallel Genetic Algorithm," IEEE Trans. CAS II-Analog and Digital Signal Processing, Vol. 42, No. 10. pp. 673-675, October 1995.
  11. P. A. Lynn, and W. Fuerst, "Introductory Digital Signal Processing With Computer Applications," second edition, John Wiley & Sons, 1998.
  12. H. Johansson, "A Class of High-Speed Wide-Band Frequency Masking Recursive Digital Filters With Approximately Linear Phase," IEEE Nordic Signal Proc. Symp., Kolmrden, pp. 319-322, June 2000.
  13. A. Krukowski, and I. Kale, "Almost Linear-Phase Polyphase IIR Low Pass/High Pass Filter Approach," Proc. 5th International Symp. Signal Processing and its Applications., ISSPA 99, Brisbane, Australia, August 22-25th 1999.
  14. J. H. McClellan, and D. S. K. Chan, "A 2-D FIR Filter Structure Derived from The Chebyshev Recursion," IPFE Trans. On Circuits Syst., Vol. CAS.24, No. 7, pp.372-378, July 1977.
  15. T. W. Parks, and J. H. McClellan, "Chebyshev Approximation for Nonrecursive Digital Filters with Linear Phase," IEEE Trans. Circuits Theory, Vol. CT-19, No. 2, pp. 372-378, March 1972.
  16. A. G. Dempster, and M. D. Macleod, "Use of Minimum-Adder Multiplier Blocks in FIR Digital Filters," IEEE Trans. Circuits and Syst.-II: Analog and Digital Signal Processing, Vol. 42, No. 9, pp. 569-577, September 1995.
  17. Y. C. Lim, and S. R. Parker, "FIR Filter Design Over a Discrete Powers-of-Two Coefficient Space, IEEE Trans. Acoustic, Speech, and Signal Processing, Vol. ASSP-31, No. 3, pp. 583-591, June 1983.
  18. L. R. Rabiner, B. Gold and, C. A. McConegal, "An Approach to the Approximation Problem for Nonrecursive Digital Filter, IEEE Trans. Audio and Electroacoustics, pp. 160-170, June 1970.
  19. L. R. Rabiner, and R. W. Schafer, "Digital Processing of Speech Signals." Englewood Cliffs, NJ, Prentice-Hall 1978.