Bibliography on Design & Implementation of Maximally Flat FIR Filters

Journal Articles in Chronological Order

O. Herrmann, ``On the approximation problem in nonrecursive digital filter design,'' IEEE Trans. Circuit Theory, vol. CT-18, no. 3, pp. 411--413, May 1971.

J. A. Miller, ``Maximally flat nonrecursive digital filters,'' Electron. Lett., vol. 8, pp. 157--158, 1972.

M. F. Fahmy, ``Maximally flat non-recursive digital filters,'' Int. J. Circuit Theory Appl., vol. 4, pp. 311--313, 1976.

J. F. Kaizer, ``Comments on maximally flat non-recursive digital filters,'' Int. J. Circuit Theory Appl., vol. 5, p. 103, 1977.

J. F. Kaizer and R. W. Hamming, ``Sharpening the response of a symmetric nonrecursive filter by multiple use of the same filter,'' IEEE Trans. Acoustics, Speech, Signal Processing, vol. 25, pp. 415--422, 1977.

C. Gumacos, ``Weighting Coefficients for certain maximally flat nonrecursive digital filters,'' IEEE Trans. Circuits Syst., vol. CAS-25, no. 4, pp. 234--235, 1978.

J. F. Kaiser, ``Design subroutine (MXFLAT) for symmetric FIR lowpass digital filters with maximally-flat pass and stop bands,'' in Programs for Digital Signal Processing. New York: IEEE Press, pp. 5.3.1-5.3.6, 1979.

H. Baher, ``FIR digital filters with simultaneous conditions on amplitude and delay,'' Electron. Lett., vol. 18, pp. 296--297, 1982.

B. C. Jinaga and S. C. Dutta Roy, ``Explicit formula for the weighting coefficients of maximally flat nonrecursive digital filters,'' Proc. IEEE, vol. 72, no. 8, p. 1092, 1984.

B. C. Jinaga and S. C. Dutta Roy, ``Coefficients of maximally flat nonrecursive digital filters,'' Signal Processing, vol. 7, pp. 185--189, Oct. 1984.

P. P. Vaidyanathan, ``On maximally-flat linear-phase FIR filters,'' IEEE Trans. Circuits Syst., vol. CAS-31, no. 9, pp. 830--832, 1984.

B. C. Jinaga and S. C. Dutta Roy, ``Explicit formula for the coefficients of maximally flat nonrecursive digital filter transfer function expressed in powers of $cos w$ ,'' Proc. IEEE, vol. 73, pp. 1135--1136, 1985.

P. P. Vaidyanathan, ``Efficient and multiplierless design of FIR filters with very sharp cutoff via maximally flat building blocks,'' IEEE Trans. Circuits Syst., vol. CAS-32, pp. 236--244, 1985.

L. R. Rajagopal and S. C. Dutta Roy, ``Design of maximally-flat FIR filters using the Bernstein polynomial,'' IEEE Trans. Circuits Syst., vol. CAS-34, no. 12, pp. 1587--1590, 1987.

L. R. Rajagopal and S. C. Dutta Roy, ``A matrix approach for the coefficients of maximally-flat FIR filter transfer functions expressed in powers of $cos w$,'' Electron. Lett. vol. 23, pp. 391--393, 1987.

L. R. Rajagopal and S. C. Dutta Roy, ``A matrix approach for the coefficients of maximally-flat FIR filter transfer functions,'' IEEE Trans. Acoust. Speech, Signal Processing, vol. 36, pp. 1914--1917, 1988.

L. R. Rajagopal and S. C. Dutta Roy, ``Optimal design of maximally flat FIR filters with arbitrary magnitude specifications,'' IEEE Trans. Acoustics, Speech, and Signal Processing, vol. ASSP-37, pp. 512--518, 1989.

R. Ansari, C. Guillemot and J.F. Kaiser, ``Wavelet construction using Lagrange halfband filters,'' IEEE Trans. Circuits Syst., vol. 38, pp. 1116--1118, 1991.

S. Samadi, T. Cooklev, A. Nishihara, and N. Fujii, ``Multiplierless structure for maximally flat linear phase FIR digital filters,'' Electron. lett., Vol. 29, No. 2, pp. 184--185, 1993.

I. W. Selesnick and S. Burrus, ``Maximally flat low-pass FIR filters with reduced delay,'' IEEE Trans. Circuits Syst. II, vol. 45, no. 1, pp. 53--68, 1998.

Books Containing Material Related to Maximally Flat Filters

R. W. Hamming, Digital Filters. Englewood Cliffs, NJ: Prentice-Hall, 1976.

P. P. Vaidyanathan, Multirate Systems and Filter Banks. Englewood Cliffs, NJ: Prentice-Hall, 1993.

Papers in Japanese

N. Aikawa, N. Yabiku and M. Sato, ``Design method of odd order maximally flat FIR lowpass filter,'' IEICE Trans. A. vol. J75-A, pp. 762--768, 1992.

N. Aikawa, N. Yabiku and M. Sato, ``Maximally flat FIR bandpass digital filter,'' IEICE Trans. A. vol. J76-A, pp. 1423--1430, 1993.

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Last modified: Mon Aug 9 15:35:20 JST 1999