Design of linear phase FIR notch filters

This paper investigates some approaches for designing one-dimensional linear phase finite-duration impulse-responses (FIR) notch filters, which are based on the modification of several established design techniques of linear phase FIR band-selective filters. Based on extensive design examples and theoretical analysis, formulae have been developed for estimating the length of a linear phase FIR notch filter meeting the given specifications. In addition, the design of two-dimensional linear phase FIR notch filters is briefly considered. Illustrative examples are included.

[1]  S. Mitra,et al.  Interpolated finite impulse response filters , 1984 .

[2]  S.K. Mitra,et al.  Complementary two-dimensional digital filters , 1986, Proceedings of the IEEE.

[3]  Sanjit K. Mitra,et al.  A new two-dimensional window , 1985, IEEE Trans. Acoust. Speech Signal Process..

[4]  L. Rabiner,et al.  A computer program for designing optimum FIR linear phase digital filters , 1973 .

[5]  Maurice Bellanger,et al.  Digital processing of signals , 1989 .

[6]  R. Carney Design of a Digital Notch Filter with Tracking Requirements , 1963, IEEE Transactions on Space Electronics and Telemetry.

[7]  Lawrence R. Rabiner,et al.  Recursive and nonrecursive realizations of digital filters designed by frequency sampling techniques , 1971 .

[8]  Lawrence R. Rabiner,et al.  Approximate design relationships for low-pass FIR digital filters , 1973 .

[9]  P. Lafrance,et al.  Digital filters , 1974, Proceedings of the IEEE.

[10]  Sanjit K. Mitra,et al.  Design of digital notch filters , 1974 .

[11]  R. Hamming,et al.  Sharpening the response of a symmetric nonrecursive filter by multiple use of the same filter , 1977 .

[12]  Stanley E. A. Pinnell Design of a Digital Notch Filter with Tracking Requirements , 1965, IEEE Transactions on Aerospace and Electronic Systems.

[13]  J. Kaiser,et al.  Sharpening the response of a symmetric nonrecursive filter by multiple use of the same filter , 1977 .

[14]  C. K. Yuen,et al.  Digital Filters , 1979, IEEE Transactions on Systems, Man, and Cybernetics.

[15]  A. N. Willson,et al.  A new approach to FIR digital filters with fewer multipliers and reduced sensitivity , 1983 .