Chebyshev approximation problem of multidimensional IIR digital filters in the frequency domain

DOI10.1007/s11045-017-0525-5zbMath1448.94087OpenAlexW2756318754MaRDI QIDQ784689

Wasfi S. Kafri, Jamal O. Siam

Publication date: 3 August 2020

Published in: Multidimensional Systems and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11045-017-0525-5

zbMATH Keywords

best approximationfrequency responsesign conditionChebyshev approximation\(H\)-setsKolmogorov's criteriamultidimensional IIR digital filter

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

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Cites Work

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• Stability analysis of 2-D digital filters having second kind singularities: Analog approach
• An algorithm for the construction of best approximations based on Kolmogorov's criterion
• The design of 2-D approximately linear phase filters using a direct approach
• \(N\)-dimensional phase approximation in the \(L_\infty\)-norm
• Characterization of a best and a unique best approximation from constrained rationals
• Nicht-lineare Approximationen
• Über Extremalsignaturen linearer Polynome in n Veränderlichen
• On minimal H-sets
• On stability properties of three- and higher dimensional linear shift-invariant digital filters
• Multivariable Nyquist theory
• Some stability properties of two-dimensional linear shift-invariant digital filters
• On Schur stable multivariate polynomials
• The use of Symmetrics in the Design of Multidimensional Digital filters
• A unified approach for the design of 2-D digital filters via semidefinite programming
• Multistage IIR Filter Design Using Convex Stability Domains Defined by Positive Realness
• Optimization of two-dimensional IIR filters with nonseparable and separable denominator
• Positive trigonometric polynomials and signal processing applications