论文信息 - Design of maximally-flat FIR filters using the Bernstein polynomial

Design of maximally-flat FIR filters using the Bernstein polynomial

The paper provides, through the use of Bernstein polynomials, a new insight into the design of maximally-flat (MAXFLAT) FIR filters. In particular, it demonstrates a link between the various existing methods, and provides an analytical support to the empirical relation given by Herrmann. It is also shown to provide a new computationally efficient algorithm for the design of such filters.

S. D. Roy | L. Rajagpoal | L. Rajagpoal

[1] Mamdouh F. Fahmy. Maximally flat non‐recursive digital filters , 1976 .

[2] S. Banjongjit,et al. Maximally flat f.i.r. filter with prescribed cutoff frequency , 1980 .

[3] B. C. Jinaga,et al. Coefficients of maximally flat low and high pass nonrecursive digital filters with specified cutoff frequency , 1985 .

[4] J. A. Miller. Maximally flat nonrecursive digital filters , 1972 .

[5] O. Herrmann. On the approximation problem in nonrecursive digital filter design , 1971 .

[6] P. P. Vaidyanathan. Optimal design of linear phase FIR digital filters with very flat passbands and equiripple stopbands , 1985 .

[7] P. P. Vaidyanathan,et al. Efficient and multiplierless design of FIR filters with very sharp cutoff via maximally flat building blocks , 1985 .

[8] S.C. Dutta Roy,et al. Explicit formula for the coefficients of maximally flat nonrecursive digital filter transfer functions expressed in powers of cos w , 1985, Proceedings of the IEEE.