Journal ArticleDOI
Maximally flat f.i.r. filter with prescribed cutoff frequency
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TLDR
In this article, a class of transitional maximally flat f.i.r. digital filters is proposed to overcome the problem of designing a filter whose magnitude response passes through a prescribed cutoff frequency point.Abstract:
Maximally flat f.i.r. digital filter design provides the advantage of giving a closed-form solution, but there still remains a problem of designing such a filter whose magnitude response passes through a prescribed cutoff frequency point. It is described here how to generate a class of transitional maximally flat f.i.r. digital filters to overcome such a difficulty.read more
Citations
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Journal ArticleDOI
Generalized digital Butterworth filter design
Ivan Selesnick,C.S. Burrus +1 more
TL;DR: This correspondence introduces a new class of infinite impulse response (IIR) digital filters that unifies the classical digital Butterworth filter and the well-known maximally flat FIR filter.
Journal ArticleDOI
Design of maximally-flat FIR filters using the Bernstein polynomial
L. Rajagpoal,S.D. Roy +1 more
TL;DR: In this paper, a new insight into the design of maximally-flat FIR filters is provided, through the use of Bernstein polynomials, and an analytical support to the empirical relation given by Herrmann is provided.
Proceedings ArticleDOI
Generalized digital Butterworth filter design
Ivan Selesnick,C.S. Burrus +1 more
TL;DR: A formula-based method is presented for the design of IIR filters having more zeros than (nontrivial) poles and it is found that, for a specified half-magnitude frequency and a specified number of zeros, there is only one valid way in which to split the zeros between z=-1 and the passband.
Journal ArticleDOI
Magnitude approximation of digital filters with specified degrees of flatness and constant group delay characteristics
R. Hegde,B.A. Shenoi +1 more
TL;DR: In this paper, a polynomial with maximally flat or equiripple group delay characteristics is chosen to be the denominator of the filter transfer function, and the coefficients of the numerator polynomials are found such that the group delay characteristic is unaffected.
Journal ArticleDOI
Optimal design of maximally flat FIR filters with arbitrary magnitude specifications
L.R. Rajagopal,S.D. Roy +1 more
TL;DR: An optimal design procedure for maximally flat FIR (finite impulse response) filters, based on the Bernstein polynomial, is proposed, which results in the minimum order of the filter required to meet the given specifications.
References
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Book
Theory and application of digital signal processing
TL;DR: Feyman and Wing as discussed by the authors introduced the simplicity of the invariant imbedding method to tackle various problems of interest to engineers, physicists, applied mathematicians, and numerical analysts.
Journal ArticleDOI
On the approximation problem in nonrecursive digital filter design
TL;DR: In this paper, a new class of selective non-recursive digital filters with a maximally flat frequency response in the passband and stopband is introduced, based on a special solution of the general Hermite polynomial interpolation and allows computation of the parameters of these filters in closed form.
Journal ArticleDOI
Maximally flat nonrecursive digital filters
TL;DR: In this paper, the authors show how to obtain a maximally flat non-recursive transfer function via a simple classical method that sets derivatives of a rational function to zero, using a special solution to the Hermite interpolation formula.