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Chebyshev polynomials

Known as: Chebyshev polynomials/Proofs, Tchebyscheff polynomial, Chebyshev root 
In mathematics the Chebyshev polynomials, named after Pafnuty Chebyshev, are a sequence of orthogonal polynomials which are related to de Moivre's… 
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Related topics

Related topics

37 relations
Analogue filterApproximation theoryBasis functionChebfun

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2017
Highly Cited
2017
Cosmographic analysis with Chebyshev polynomials
The limits of standard cosmography are here revised addressing the problem of error propagation during statistical analyses. To… 
Highly Cited
2011
Highly Cited
2011
Distributed Signal Processing via Chebyshev Polynomial Approximation
Unions of graph multiplier operators are an important class of linear operators for processing signals defined on graphs. We… 
Highly Cited
2007
Highly Cited
2007
Dual-Band and Triple-Band Substrate Integrated Waveguide Filters With Chebyshev and Quasi-Elliptic Responses
In this paper, synthesis and design techniques of dual- and triple-passband filters with Chebyshev and quasi-elliptic symmetric… 
Highly Cited
2004
Highly Cited
2004
Indexing spatio-temporal trajectories with Chebyshev polynomials
In this paper, we attempt to approximate and index a d- dimensional (d ≥ 1) spatio-temporal trajectory with a low order… 
Highly Cited
2004
Highly Cited
2004
Security of public-key cryptosystems based on Chebyshev polynomials
Chebyshev polynomials have been recently proposed for designing public-key systems. Indeed, they enjoy some nice chaotic… 
Highly Cited
2003
Highly Cited
2003
Microstrip stepped impedance resonator bandpass filter with an extended optimal rejection bandwidth
Bandpass filters with an optimal rejection bandwidth are designed using parallel-coupled stepped impedance resonators (SIRs). The… 
Highly Cited
1986
Highly Cited
1986
The computation of line spectral frequencies using Chebyshev polynomials
Line spectral frequencies provide an alternate parameterization of the analysis and synthesis filters used in linear predictive… 
Highly Cited
1986
Highly Cited
1986
Spanning tree formulas and chebyshev polynomials
AbstractThe Kirchhoff Matrix Tree Theorem provides an efficient algorithm for determiningt(G), the number of spanning trees of… 
Highly Cited
1979
Highly Cited
1979
Accelerated projection methods for computing pseudoinverse solutions of systems of linear equations
Iterative methods are developed for computing the Moore-Penrose pseudoinverse solution of a linear systemAx=b, whereA is anm ×n… 
Highly Cited
1977
Highly Cited
1977
Electromagnetic propagation in periodic stratified media. II. Birefringence, phase matching, and x-ray lasers *
The theory of electromagnetic Bloch waves in periodic stratified media is applied to the problems of birefringence and group… 
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