Design of a class of IIR eigenfilters with time- and frequency-domain constraints

An effective eigenfilter approach is presented to design special classes of infinite-impulse response (IIR) filters with time- and frequency-domain constraints is presented. By minimizing a quadratic measure of the error in the passband and stopband, an eigenvector of an appropriate real symmetric and positive-definite matrix is computed to get the filter coefficients. Several IIR filters such as notch filters, Nyquist filters and partial response filters can be easily designed by this approach. Some numerical design examples are illustrated to show the effectiveness of this approach.

[1]  Chien-Cheng Tseng,et al.  A weighted least-squares method for the design of stable 1-D and 2-D IIR digital filters , 1998, IEEE Trans. Signal Process..

[2]  E. Del Re,et al.  Design of IIR eigenfilters in the frequency domain , 1997, Proceedings of 13th International Conference on Digital Signal Processing.

[3]  Chien-Cheng Tseng,et al.  IIR multiple notch filter design based on allpass filter , 1996, Proceedings of Digital Processing Applications (TENCON '96).

[4]  Xi Zhang,et al.  Design of IIR digital filters based on eigenvalue problem , 1996, IEEE Trans. Signal Process..

[5]  Byeong Gi Lee,et al.  A Design of Linear-Phased IIR Nyquist Filters , 1995, IEEE J. Sel. Areas Commun..

[6]  Soo-Chang Pei,et al.  Design of 1-D and 2-D IIR eigenfilters , 1994, IEEE Trans. Signal Process..

[7]  Truong Q. Nguyen.  The design of arbitrary FIR digital filters using the eigenfilter method , 1993, IEEE Trans. Signal Process..

[8]  S. Pei,et al.  Complex eigenfilter design of arbitrary complex coefficient FIR digital filters , 1993 .

[9]  D.-Y. Yu,et al.  Design of partial response data transmission filters with specified stopband attenuation , 1991 .

[10]  Sanjit K. Mitra,et al.  Design of linear phase FIR notch filters , 1990 .

[11]  Soo-Chang Pei,et al.  Eigenfilter design of higher-order digital differentiators , 1989, IEEE Trans. Acoust. Speech Signal Process..

[12]  Pei Soo-Chang,et al.  Design of FIR Hilbert transformers and differentiators by eigenfilter , 1988 .

[13]  Tung Ng,et al.  Some aspects of an adaptive digital notch filter with constrained poles and zeros , 1987, IEEE Trans. Acoust. Speech Signal Process..

[14]  Truong Q. Nguyen,et al.  Eigenfilters: A new approach to least-squares FIR filter design and applications including Nyquist filters , 1987 .

[15]  Arye Nehorai.  A minimal parameter adaptive notch filter with constrained poles and zeros , 1985, IEEE Trans. Acoust. Speech Signal Process..

[16]  Junn-Kuen Liang,et al.  Design of optimal Nyquist, partial response, Nth band, and nonuniform tap spacing FIR digital filters using linear programming techniques , 1985 .

[17]  K. Nakayama,et al.  A new IIR Nyquist filter with zero intersymbol interference and its frequency response approximation , 1982 .

[18]  R W Lucky,et al.  Principles of data communication , 1968 .

[19]  E. Kretzmer,et al.  Generalization of a Techinque for Binary Data Communication , 1966 .