New Design Constraints of FIR Filter on Magnitude and Phase of Error Function
Exchange algorithm with constraints on magnitude and phase error separately in new way is presented in this paper. An important feature of the algorithms presented in this paper is that they allow for design constraints which often arise in practical filter design problems. Meeting required minimum stopband attenuation or a maximum deviation from the desired magnitude and phase responses in the passbands are common design constraints that can be handled by the methods proposed here. This new algorithm may have important advantages over existing technique, with respect to the speed and stability of convergence, memory requirement and low ripples.
[1] C. S. Burrus, J. A. Barreto, and I.W. Selesnick, "Iterative Reweighted
Least Squares Design of FIR Filters," IEEE Transactions on Signal
Processing, vol. SP, pp 2926-2936, Nov 1994.
[2] D.Burnside and T.W.Parks, "Optimal Design of FIR Filters in the
Complex Chebyshev Error Criteria," IEEE Trans. On Signal processing,
vol. SP-42, pp. 605-616, March 1995.
[3] G. Cortelazzo and M. R. Lightner, "Simultaneous Design in Both
Magnitude and Group Delay of IIR and FIR Filters Based on Multiple
Criterion Optimization,"IEEE Transactions on Acoustics, Speech and
Signal Processing. Vol. ASSP-32. pp.949-967 Oct 1984.
[4] L. J. Karam and J. H. McClellan, "Design of Optimal Digital FIR Filters
with Arbitrary Magnitude and Phase Responses," in Proc, IEEE Int.
Symp. Circuits and Systems, Atlanta, May 1996, vol.2. pp. 385-388.
[5] J. T. Lewis, R. Murphy and D. W. Tufts, "Design of Minimum Noise
Digital Filters Subject to Inequality Constraints Using Quadratic
Programming," IEEE Transactions on Acoustics, Speech, and Signal
Processing. vol. ASSP-24, pp. 434-436.Oct 1976.
[6] J. W. Adams, "Constrained Least-Squares Digital Filters," in Proc. IEEE
Int. Symp.Circuits and Systems, San Diego, CA, May 1992, vol. 2, pp.
565-568.
[7] L.R. Rabiner," Linear Program Design of FIR Digital Filters," IEEE
Trans. On Audio and Electroacoustic, vol. AU-20, pp 280-288, 1996.
[8] M.C. Lang, "Constrained Least square Design of FIR Filters with
Arbitrary Magnitude and Phase Responses." in Proc. IEEE Int. Symp.
Circuits and Systems, Hong Kong, Jun-1997, vol.4, pp 2264-2267.
[9] M.Okuda,M.Ikehara and S. Takahashi, "Fast and Stable Least
Squares Approach for the Design of Linear Phase FIR Filters," IEEE
Transactions on signal processing vol. SP-46,pp 1485-1493, Jun-1998.
[10] R. H. Yang and Y. C. Lim "Efficient Computational Procedure for the
Design of FIR Digital Filters Using WLS Technique," IEE Proc.G, vol.
140, no.-5, pp 355-359. Oct 1993.
[11] S. Alkhairy, K. G. Christian, and J. S. Lim, "Design and Characterization
of Optimal FIR Filters with Arbitrary Phase," IEEE Transactions on
Signal Processing, vol. SP-41, pp. 559-572, Feb.1993.
[12] S. S. Lawson, "On Design Techniques for Approximately Linear Phase
Recursive Digital Filters," in Proc. IEEE Int. Symp. Circuits and
Systems, Hong Kong, June-1997. vol.4 pp 2212-2215.
[13] X.Chen and T.W. Parks, "Design of Digital All Pass Filters Using a
weighted Least Square Approach," IEEE Trans. Circuits and System-II,
vol. 41, pp. 346-351. May 1994.
[14] X. Chen and T. W. Parks, "Design of FIR Filters in the Complex
Domain," IEEE Transactions on Acoustics Speech, and Signal
Processing. Vol. ASSP-35, pp.144-153. Feb 1987.
[15] Xiaoping Lai "Projected Least Squares Algorithm for Constrained FIR
Filter Design" IEEE Trans..Circuit and system-I: Vol.52, No.11, pp
2436-2443, Nov. 2005.
[1] C. S. Burrus, J. A. Barreto, and I.W. Selesnick, "Iterative Reweighted
Least Squares Design of FIR Filters," IEEE Transactions on Signal
Processing, vol. SP, pp 2926-2936, Nov 1994.
[2] D.Burnside and T.W.Parks, "Optimal Design of FIR Filters in the
Complex Chebyshev Error Criteria," IEEE Trans. On Signal processing,
vol. SP-42, pp. 605-616, March 1995.
[3] G. Cortelazzo and M. R. Lightner, "Simultaneous Design in Both
Magnitude and Group Delay of IIR and FIR Filters Based on Multiple
Criterion Optimization,"IEEE Transactions on Acoustics, Speech and
Signal Processing. Vol. ASSP-32. pp.949-967 Oct 1984.
[4] L. J. Karam and J. H. McClellan, "Design of Optimal Digital FIR Filters
with Arbitrary Magnitude and Phase Responses," in Proc, IEEE Int.
Symp. Circuits and Systems, Atlanta, May 1996, vol.2. pp. 385-388.
[5] J. T. Lewis, R. Murphy and D. W. Tufts, "Design of Minimum Noise
Digital Filters Subject to Inequality Constraints Using Quadratic
Programming," IEEE Transactions on Acoustics, Speech, and Signal
Processing. vol. ASSP-24, pp. 434-436.Oct 1976.
[6] J. W. Adams, "Constrained Least-Squares Digital Filters," in Proc. IEEE
Int. Symp.Circuits and Systems, San Diego, CA, May 1992, vol. 2, pp.
565-568.
[7] L.R. Rabiner," Linear Program Design of FIR Digital Filters," IEEE
Trans. On Audio and Electroacoustic, vol. AU-20, pp 280-288, 1996.
[8] M.C. Lang, "Constrained Least square Design of FIR Filters with
Arbitrary Magnitude and Phase Responses." in Proc. IEEE Int. Symp.
Circuits and Systems, Hong Kong, Jun-1997, vol.4, pp 2264-2267.
[9] M.Okuda,M.Ikehara and S. Takahashi, "Fast and Stable Least
Squares Approach for the Design of Linear Phase FIR Filters," IEEE
Transactions on signal processing vol. SP-46,pp 1485-1493, Jun-1998.
[10] R. H. Yang and Y. C. Lim "Efficient Computational Procedure for the
Design of FIR Digital Filters Using WLS Technique," IEE Proc.G, vol.
140, no.-5, pp 355-359. Oct 1993.
[11] S. Alkhairy, K. G. Christian, and J. S. Lim, "Design and Characterization
of Optimal FIR Filters with Arbitrary Phase," IEEE Transactions on
Signal Processing, vol. SP-41, pp. 559-572, Feb.1993.
[12] S. S. Lawson, "On Design Techniques for Approximately Linear Phase
Recursive Digital Filters," in Proc. IEEE Int. Symp. Circuits and
Systems, Hong Kong, June-1997. vol.4 pp 2212-2215.
[13] X.Chen and T.W. Parks, "Design of Digital All Pass Filters Using a
weighted Least Square Approach," IEEE Trans. Circuits and System-II,
vol. 41, pp. 346-351. May 1994.
[14] X. Chen and T. W. Parks, "Design of FIR Filters in the Complex
Domain," IEEE Transactions on Acoustics Speech, and Signal
Processing. Vol. ASSP-35, pp.144-153. Feb 1987.
[15] Xiaoping Lai "Projected Least Squares Algorithm for Constrained FIR
Filter Design" IEEE Trans..Circuit and system-I: Vol.52, No.11, pp
2436-2443, Nov. 2005.
@article{"International Journal of Electrical, Electronic and Communication Sciences:64457", author = "Raghvendra Kumar and Lillie Dewan", title = "New Design Constraints of FIR Filter on Magnitude and Phase of Error Function", abstract = "Exchange algorithm with constraints on magnitude and phase error separately in new way is presented in this paper. An important feature of the algorithms presented in this paper is that they allow for design constraints which often arise in practical filter design problems. Meeting required minimum stopband attenuation or a maximum deviation from the desired magnitude and phase responses in the passbands are common design constraints that can be handled by the methods proposed here. This new algorithm may have important advantages over existing technique, with respect to the speed and stability of convergence, memory requirement and low ripples.
", keywords = "Least square estimation, Constraints, Exchange algorithm.", volume = "2", number = "10", pages = "2428-6", }
