FIR filter design problems of simultaneous approximation of magnitude and phase and magnitude and group delay

DOI10.1002/mma.229zbMath0984.41014OpenAlexW1971647808MaRDI QIDQ2731608

Rembert Reemtsen

Publication date: 4 September 2001

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.229

zbMATH Keywords

simultaneous approximationFR filter designmagnitude and group delaymagnitude and phase

Mathematics Subject Classification ID

Frequency-response methods in control theory (93C80) Digital control/observation systems (93C62) Approximation in the complex plane (30E10) Simultaneous approximation (41A28) Completeness problems, closure of a system of functions of one complex variable (30B60)

Related Items (1)

Design approximation problems for linear-phase nonrecursive digital filters

Cites Work

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• Design of real FIR filters with arbitrary complex frequency responses by two real Chebyshev approximations
• A cutting plane method for solving minimax problems in the complex plane
• The design of FIR filters in the complex plane by convex optimization
• Design and characterization of optimal FIR filters with arbitrary phase
• Design of selective lowpass sampled‐data and digital filters exhibiting equiripple amplitude and phase error characteristics
• THE SIMULTANEOUS APPROXIMATION OF MAGNITUDE AND PHASE BY FIR DIGITAL FILTERS. I: A NEW APPROACH
• Frequency and Magnitude Response Design Approximation Problems for Nonlinear-phase Nonrecursive Digital Filters
• The direct solution of nonconvex nonlinear FIR filter design problems by a SIP method

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