Discrete fourier analysis

This textbook presents basic notions and techniques of Fourier analysis in discrete settings. Written in a concise style, it is interlaced with remarks, discussions and motivations from signal analysis.   The first part is dedicated to topics related to the Fourier transform, including discrete time...

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Détails bibliographiques
Auteur principal: Wong, Man Wah, 1951-
Format: Livre numérique
Langue:Anglais
Publié: Basel : Springer Basel : Springer e-books [20..].
Cham : Springer Nature
Collection:Pseudo-Differential Operators, Theory and Applications 5
Sujets:
Accès en ligne:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Note: Description d'après consultation du 12 février 2013
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Discrete Fourier analysis, M.W. Wong, Basel, Birkhäuser, 2011, 1 vol. (VIII-176 p.), Pseudo-differential operators, 978-3-03-480115-7
Table des matières:
  • Preface The Finite Fourier Transform Translation-Invariant Linear Operators Circulant Matrices Convolution Operators Fourier Multipliers Eigenvalues and Eigenfunctions The Fast Fourier Transform Time-Frequency Analysis Time-Frequency Localized Bases Wavelet Transforms and Filter Banks Haar Wavelets Daubechies Wavelets The Trace Hilbert Spaces Bounded Linear Operators Self-Adjoint Operators Compact Operators The Spectral Theorem Schatten von Neumann Classes Fourier Series Fourier Multipliers on S1 Pseudo-Differential Operators on S1 Pseudo-Differential Operators on Z Bibliography Index