Partial Specification Frequency-Domain Least-Squares Filter Design and System Identification

Frequency-domain least-squares filter design is extended to the case that magnitude and phase are not specified for all test frequencies. Unspecified quantities are obtained by an iterative, alternating projection algorithm. Examples of gain-only and phase-only identification are provided, as well as filter design.

[1]  Wu-Sheng Lu.  Design of nonlinear-phase FIR digital filters: a semidefinite programming approach , 1999, ISCAS'99. Proceedings of the 1999 IEEE International Symposium on Circuits and Systems VLSI (Cat. No.99CH36349).

[2]  Arkadi Nemirovski,et al.  The projective method for solving linear matrix inequalities , 1997, Math. Program..

[3]  Alan V. Oppenheim,et al.  Discrete-time Signal Processing. Vol.2 , 2001 .

[4]  M. A. Soderstrand,et al.  Enhanced FDLS algorithm for parameter-based system identification for automatic testing , 1990, Proceedings of the 33rd Midwest Symposium on Circuits and Systems.

[5]  M. A. Soderstrand,et al.  A total least squares approach to frequency domain system identification , 1989, Proceedings of the 32nd Midwest Symposium on Circuits and Systems,.

[6]  G. Berchin,et al.  Precise Filter Design [DSP Tips & Tricks] , 2007, IEEE Signal Processing Magazine.

[7]  R. Gerchberg.  A practical algorithm for the determination of phase from image and diffraction plane pictures , 1972 .

[8]  G. Berchin,et al.  A Transform Domain Least Squares Beanforming Technique , 1990, Conference Proceedings on Engineering in the Ocean Environment.

[9]  Gene H. Golub,et al.  Matrix computations (3rd ed.) , 1996 .

[10]  T. Moon,et al.  Mathematical Methods and Algorithms for Signal Processing , 1999 .

[11]  Arogyaswami Paulraj,et al.  An analytical constant modulus algorithm , 1996, IEEE Trans. Signal Process..

[12]  Gene H. Golub,et al.  Matrix computations , 1983 .