Spectra of rational orthonormal systems
DOI10.1007/s11425-016-9433-4zbMath1429.42005OpenAlexW2977878682MaRDI QIDQ2010423
Tao Qian, Pei Dang, Qiu-hui Chen
Publication date: 27 November 2019
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-016-9433-4
Heisenberg groupspectral operatorWeyl correspondenceCaley transformLaguerre and Kautz systemsTM system
Applications of statistics in engineering and industry; control charts (62P30) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Sampling theory in information and communication theory (94A20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Frequency-domain identification: An algorithm based on an adaptive rational orthogonal system
- Orthonormal bases with nonlinear phases
- System identification by discrete rational atoms
- Approximation of stable systems by Laguerre filters
- On a rational approximation problem in the real Hardy space \(H_ 2\)
- On approximation of stable linear dynamical systems using Laguerre and Kautz functions
- Orthonormal basis functions for modelling continuous-time systems
- Adaptive Fourier series---a variation of greedy algorithm
- Intrinsic mono-component decomposition of functions: An advance of Fourier theory
- Laguerre methods andH∞identification of continuous-time systems
- Harmonic Analysis in Phase Space. (AM-122)
- System identification using Kautz models
- Algebraic and Spectral Properties of General Toeplitz Matrices
- Dynamic SISO and MISO system approximations based on optimal Laguerre models
- Rational orthogonal systems are Schauder bases
This page was built for publication: Spectra of rational orthonormal systems
