Time-frequency transfer function calculus (symbolic calculus) of linear time-varying systems (linear operators) based on a generalized underspread theory

DOI10.1063/1.532495zbMath0986.81059OpenAlexW1994475615MaRDI QIDQ4701635

Franz Hlawatsch, Gerald Matz

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532495

zbMATH Keywords

linear operatorssymbolic calculusunderspread operatorsapproximate transfer function calculusnonstationary signal processingtime-varying power spectraunderspread linear time-varying systems

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Quantum stochastic calculus (81S25)

Related Items (6)

Pseudodifferential operators and Banach algebras in mobile communications ⋮ Representation of operators in the time-frequency domain and generalized Gabor multipliers ⋮ Minimax robust nonstationary signal estimation based on a \(p\)-point uncertainty model ⋮ A discrete model for the efficient analysis of time-varying narrowband communication channels ⋮ On some classes of nonstationary parametric processes ⋮ System Level Aspects for Single Cell Scenarios

Cites Work

• Quantum mechanics and partial differential equations
• Time-frequency signal processing based on the Wigner-Weyl framework
• Deformation theory and quantization. I: Deformations of symplectic structures
• An algebra of pseudodifferential operators and the asymptotics of quantum mechanics
• The uncertainty principle: A mathematical survey
• Adaptive covariance estimation of locally stationary processes
• An algebra of pseudodifferential operators and quantum mechanics in phase space
• Sur certains groupes d'opérateurs unitaires
• On the boundedness of pseudo-differential operators
• Time-varying matched filters.
• On asymptotic expansions of twisted products
• Time-frequency representation of digital signals and systems based on short-time Fourier analysis
• The uncertainty principle
• Time-frequency localization operators: a geometric phase space approach
• On the role of the Heisenberg group in harmonic analysis
• The weyl calculus of pseudo-differential operators
• Wave packets and fourier integral operators
• Generalized evolutionary spectral analysis and the Weyl spectrum of nonstationary random processes
• On the Quantum Correction For Thermodynamic Equilibrium
• Signal synthesis from modified discrete short-time transform
• Some extensions of semiclassical limit ℏ → 0 for Wigner functions on phase space
• Spread-signature CDMA: efficient multiuser communication in the presence of fading
• COHERENT STATES AND THEIR GENERALIZATIONS: A MATHEMATICAL OVERVIEW
• Spread-response precoding for communication over fading channels
• Coherent and Incoherent States of the Radiation Field
• Mathematical Aspects of the Weyl Correspondence
• Phase-Space Formulation of the Dynamics of Canonical Variables
• An algebra of pseudo‐differential operators
• WICK AND ANTI-WICK OPERATOR SYMBOLS

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