Journal ArticleDOI
A personal history of the Parks-McClellan algorithm
James H. McClellan,T.W. Parks +1 more
TLDR
The work that led to what is now known as the Parks-McClellan algorithm is described, i.e., the Remez exchange algorithm with optimal Chebyshev approximation for FIR filter design.Abstract:
This article describes the work that led to what is now known as the Parks-McClellan algorithm. Within the bigger picture of filter design methods, this paper recount events that had an impact on the inspiration to develop the Parks-McClellan algorithm, i.e., the Remez exchange algorithm with optimal Chebyshev approximation for FIR filter design.read more
Citations
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Book
Foundations of Signal Processing
TL;DR: In this article, a comprehensive and engaging textbook introduces the basic principles and techniques of signal processing, from the fundamental ideas of signals and systems theory to real-world applications, including the basic geometry of Hilbert space, the mathematics of Fourier transforms and essentials of sampling, interpolation, approximation and compression.
MonographDOI
Applied Digital Signal Processing: Theory and Practice
TL;DR: A focus on algorithms that are of theoretical importance or useful in real-world applications ensures that students cover material relevant to engineering practice, and equips students and practitioners alike with the basic principles necessary to apply DSP techniques to a variety of applications.
Journal ArticleDOI
Barycentric-Remez algorithms for best polynomial approximation in the chebfun system
TL;DR: A 21st-century update of the Remez ideas in the context of the chebfun software system, which carries out numerical computing with functions rather than numbers, is presented, arguing that its greatest importance these days is probably for fundamental studies rather than applications.
Journal ArticleDOI
Linear Phase Low-Pass IIR Digital Differentiators
TL;DR: A novel approach to designing approximately linear phase infinite-impulse-response (IIR) digital filters in the passband region is introduced and low-pass IIR differentiators are introduced.
Journal ArticleDOI
Least-Squares Multi-Angle Doppler Estimators for Plane-Wave Vector Flow Imaging
Billy Y. S. Yiu,Alfred C. H. Yu +1 more
TL;DR: Flow vectors derived from multi-angle Doppler vector estimators were found to be effective in rendering the expected flow paths in both rotating disk and straight-tube imaging scenarios, while the ones derived from the dual-angle estimator yielded flow paths that deviated from the expected course.
References
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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
Chebyshev Approximation for Nonrecursive Digital Filters with Linear Phase
T. Parks,J. McClellan +1 more
TL;DR: 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.
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.
A New Technique for the Design of Non-Recursive Digital Filters
TL;DR: In this article, an algorithm for designing non-recursive frequency-selective digital filters having equal stop-band ripples of specified magnitude is described, and no known upper limit on the order of the filter that can be designed by this algorithm and filters with orders in the hundreds already have been designed.