Journal ArticleDOI
Chebyshev Approximation for Nonrecursive Digital Filters with Linear Phase
T. Parks,J. McClellan +1 more
TLDR
An efficient procedure for the design of finite-length impulse response filters with linear phase is presented, which obtains the optimum Chebyshev approximation on separate intervals corresponding to passbands and/or stopbands.Abstract:
An efficient procedure for the design of finite-length impulse response filters with linear phase is presented. The algorithm obtains the optimum Chebyshev approximation on separate intervals corresponding to passbands and/or stopbands, and is capable of designing very long filters. This approach allows the exact specification of arbitrary band-edge frequencies as opposed to previous algorithms which could not directly control pass- and stopband locations and could only obtain (N - 1)/2 different band-edge locations for a length N low-pass filter, for fixed \delta_{1} and \delta_{2} . As an aid in practical application of the algorithm, several graphs are included to show relations among the parameters of filter length, transition width, band-edge frequencies, passband ripple, and stopband attenuation.read more
Citations
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Journal ArticleDOI
Nonuniform fast Fourier transforms using min-max interpolation
TL;DR: This paper presents an interpolation method for the nonuniform FT that is optimal in the min-max sense of minimizing the worst-case approximation error over all signals of unit norm and indicates that the proposed method easily generalizes to multidimensional signals.
Journal ArticleDOI
Ultra-wideband communications: an idea whose time has come
TL;DR: This tutorial overviews the state-of-the-art UWB in channel modeling, transmitters, and receivers of UWB radios, and outlines the research directions and challenges that needs to be overcome.
Journal ArticleDOI
A computer program for designing optimum FIR linear phase digital filters
TL;DR: A general-purpose computer program which is capable of designing a large Class of optimum (in the minimax sense) FIR linear phase digital filters and is shown to be exceedingly efficient.
Journal ArticleDOI
Generalized KYP lemma: unified frequency domain inequalities with design applications
Tetsuya Iwasaki,Shinji Hara +1 more
TL;DR: A necessary and sufficient condition for an S-procedure to be lossless is developed, and the result is used to generalize the KYP lemma in two aspects-the frequency range and the class of systems-and to unify various existing versions by a single theorem.
Journal ArticleDOI
Exact reconstruction techniques for tree-structured subband coders
TL;DR: It is shown that it is possible to design tree-structured analysis/reconstruction systems which meet the sampling rate condition and which result in exact reconstruction of the input signal.
References
More filters
Book
Introduction to approximation theory
TL;DR: In this paper, Tchebycheff polynomials and other linear families have been used for approximating least-squares approximations to systems of equations with one unknown solution.
Journal ArticleDOI
An approach to the approximation problem for nonrecursive digital filters
TL;DR: In this article, a direct design procedure for nonrecursive digital filters, based primarily on the frequency-response characteristic of the desired filters, is presented, and an optimization technique is used to minimize the maximum deviation of the synthesized filter from the ideal filter over some frequence range.
Journal ArticleDOI
Design of nonrecursive digital filters with linear phase
TL;DR: In this paper, a new class of selective nonrecursive digital filters with independently prescribed equiripple passband and stopband attenuation and linear phase is obtained by numerical solution of a set of nonlinear equations.
Journal ArticleDOI
Techniques for Designing Finite-Duration Impulse-Response Digital Filters
TL;DR: The motivation behind three design techniques that have been proposed are reviewed here, and the resulting designs are compared with respect to filter characteristics, ease of design, and methods of realization.