Communications - Scientific Letters of the University of Zilina 2004, 6(4):34-38 | DOI: 10.26552/com.C.2004.4.34-38
Fast analytical design of maximally flat notch fir filters
- 1 Department of Telecommunication Engineering, Czech Technical University in Prague, Czech Republic
- 2 Department of Applied Mathematics, Czech Technical University in Prague, Czech Republic
A novel fast analytical design procedure for the maximally flat notch FIR filters is introduced. The closed form solution provides recursive evaluation of the impulse response coefficients of the filter. The discrete nature of the notch frequency is emphasized. One design example is included to demonstrate the efficiency of the presented approach.
Keywords: notch filters, maximally flat, analytical design
Published: December 31, 2004 Show citation
References
- DUTTA ROY, S.C., KUMAR, B., JAIN, S. B.: FIR Notch Filter Design - A Review. Facta Universitatis (Niš), Series Electronics and Energetics. Vol. 14, No. 3, 2001, pp. 295-327.
- PEI, S. C., TSENG, C. C.: IIR Multiple Notch Filter Design Based on Allpass Filter. IEEE Transactions on Circuits and Systems. Vol. 44, No. 2, 1997, pp. 133-136.
Go to original source... - REGALIA, P.A., MITRA, S. K., VAIDYANATHAN, P. P.: The Digital All-Pass Filter: A Versatile Signal Processing Building Block. Proceedings of IEEE, Vol. 76, No. 1, 1988, pp. 19-37.
Go to original source... - SELESNICK, I. W., BURRUS, C. S.: Exchange Algorithms for the Design of Linear Phase FIR Filters and Differentiators Having Flat Monotonic Passbands and Equiripple Stopbands. IEEE Trans. Circuits, Syst.-II, Vol. 43, 1996, pp. 671-675.
Go to original source... - YU, TIAN-HU, MITRA, S. K., BABIC, H.: Design of Linear Phase FIR Notch Filters. Sadhana, Vol. 15, Iss. 3, 1990, India, pp. 133-55.
Go to original source... - VLČEK, M., UNBEHAUEN, R.: Analytical Solution for Design of IIR Equiripple Filters. IEEE Trans. Acoust., Speech, Signal Processing, Vol. ASSP - 37, Oct. 1989, pp. 1518-1531.
Go to original source... - VLČEK, M., JIREŠ, L.: Fast Design Algorithms for FIR Notch Filters. Proc. of IEEE International Symposium on Circuits and Systems ISCAS'94, London, 1994, Vol. 2, pp. 297-300.
- VLČEK, M., ZAHRADNÍK, P.: Digital Multiple Notch Filters Performance. Proceedings of the 15th European Conference on Circuit Theory and Design ECCTD'01, Helsinki, 2001, pp. 49-52.
- VLČEK, M., ZAHRADNÍK, P., UNBEHAUEN, R.: Analytic Design of FIR Filters. IEEE Transactions on Signal Processing, Vol. 48, 2000, pp. 2705-2709.
Go to original source...
This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International License (CC BY 4.0), which permits use, distribution, and reproduction in any medium, provided the original publication is properly cited. No use, distribution or reproduction is permitted which does not comply with these terms.

