Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Adam J W, Willson A N Jr 1983 A new approach to FIR digital filters with fewer multipliers and reduced sensitivity.IEEE Trans. Circuits Syst. CAS-30: 277–283
Babic H, Dobrenic D 1983 Low order minimax windows.Proc. 1983 IEEE Int. Symp. on Circuits and Systems pp. 86–89
Babic H, Dobrenic D 1987 A simple frequency sampling FIR filter design.Proc. IASTED Symp. on Applied Control, Filtering and Signal Processing, Geneva, Switzerland
Babic H, Rajan G, Mitra S K 1985 Generation of lowpass and bandpass window sequences by cascaded running sums.Proc. IASTED Symp. on Applied Signal Processing and Digital Filtering
Bellanger M 1984Digital processing of signals (New York: John Wiley & Sons)
Carney R 1963 Design of a digital notch filter with tracking requirements.IEEE Trans. Space Electron. Telem. SET-9: 109–114
Golden R M 1973 Digital filters. InModern filter theory and design (eds) GC Temes, S K Mitra (New York: John Wiley & Sons) Chap. 12
Hamming R W 1989Digital filters (Englewood Cliffs, NJ: Prentice-Hall) Chap. 6
Hirano K, Nishimura S, Mitra S K 1974 Design of digital notch filters.IEEE Trans. Circuits Syst. CAS-21: 540–546
Kaiser J F, Hamming R W 1977 Sharpening the response of a symmetric non-cursive filter by multiple use of the same filter.IEEE Trans. Acoust. Speech, Signal Process. ASSP-25: 415–422
Land A, Powell S 1973Fortran codes for mathematical programming (New York: John Wiley & Sons)
McClellan J H, Parks T W, Rabiner L R 1973 A computer program for designing optimum FIR linear phase digital filters.IEEE Trans. Audio Electroacoust. AU-21: 506–526
Mitra S K, Yu T-H 1986 Complementary two-dimensional digital filters.Proc. IEEE 74: 229–230
Neuvo Y, Dong C-Y, Mitra S K 1984 Interpolated finite impulse response filters.IEEE Trans. Acoust. Speech, Signal Process. ASSP-32: 563–570
Rabiner L R 1973 Approximate design relationships for lowpass FIR digital filters.IEEE Trans. Audio Electroacoust. AU-12: 456–460
Rabiner L R, Gold B 1975Theory and applications of digital processing (Englewood Cliffs, NJ: Prentice-Hall)
Rabiner L R, Schafer R W 1971 Recursive and nonrecursive realizations of digital filters designed by frequency sampling techniques.IEEE Trans. Audio Electroacoust. AU-19: 200–207
Yu T H, Mitra S K 1985 A new two-dimensional window.IEEE Trans. Acoust. Speech, Signal Process. ASSP-33: 1058–1061
Author information
Authors and Affiliations
Additional information
This work was supported in part by a University of California MICRO grant with matching supports from Rockwell International and CES Inc.
Rights and permissions
About this article
Cite this article
Yu, TH., Mitra, S.K. & Babic, H. Design of linear phase FIR notch filters. Sadhana 15, 133–155 (1990). https://doi.org/10.1007/BF02812034
Issue Date:
DOI: https://doi.org/10.1007/BF02812034