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Books on the topic 'Signal approximation'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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1

Casey, Stephen D., M. Maurice Dodson, Paulo J. S. G. Ferreira, and Ahmed Zayed, eds. Sampling, Approximation, and Signal Analysis. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-41130-4.

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2

Katkovnik, V. I︠A︡. Local approximation techniques in signal and image processing. SPIE Press, 2006.

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3

Farrell, Jay. Adaptive Approximation Based Control. John Wiley & Sons, Ltd., 2006.

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4

Šmídl, Václav. The variational Bayes method in signal processing. Springer, 2006.

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5

1931-, Métivier Michel, and Priouret P. 1939-, eds. Algorithmes adaptatifs et approximations stochastiques: Théorie et applications à l'identification, au traitement du signal et à la reconnaissance des formes. New York, 1987.

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6

Alyukov, Sergey. Approximation of piecewise linear and generalized functions. INFRA-M Academic Publishing LLC., 2024. http://dx.doi.org/10.12737/2104876.

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The monograph is devoted to piecewise linear and generalized functions. They are widely used in various fields of research: in the theory of signal transmission and transformation, quantum field theory, control theory, problems of nonlinear dynamics, structural mechanics, semiconductor theory, economic applications, medicine, description of impulse effects and many others. When creating mathematical models, in some cases it is necessary to approximate these functions using analytical expressions, but not in the form of linear combinations, as in known methods, but in the form of attachments, c
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7

Britanak, Vladimir. Discrete cosine and sine transforms: General properties, fast algorithms and integer approximations. Academic, 2007.

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8

Jørgensen, Palle E. T., 1947-, ed. Wavelets through a looking glass: The world of the spectrum. Birkhäuser, 2002.

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9

Casazza, Peter G. Finite Frames: Theory and Applications. Birkhäuser Boston, 2013.

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10

Katkovnik, Vladimir, Karen Egiazarian, and Jaakko Astola. Local Approximation Techniques in Signal and Image Processing. SPIE, 2006. http://dx.doi.org/10.1117/3.660178.

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11

Katkovnik, Vladimir. Local Approximation Techniques in Signal and Image Processing. SPIE, 2006.

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12

Smídl, Václav, and Anthony Quinn. The Variational Bayes Method in Signal Processing (Signals and Communication Technology). Springer, 2005.

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13

Dodson, Maurice. Sampling, Approximation, and Signal Analysis: Harmonic Analysis in the Spirit of J. Rowland Higgins. Springer International Publishing AG, 2023.

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14

Magnitude and Delay Approximation of 1-D and 2-D Digital Filters (Digital Signal Processing). Springer, 1999.

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15

Cina, Jeffrey A. Getting Started on Time-Resolved Molecular Spectroscopy. Oxford University Press, 2022. http://dx.doi.org/10.1093/oso/9780199590315.001.0001.

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This textbook details the basic theory of ultrafast molecular spectroscopy starting from time-dependent quantum mechanical perturbation theory in Hilbert space. The emphasis is on the dynamics of nuclear and electronic motion initiated and monitored by femtosecond laser pulses that underlies nonlinear optical signal formation and interpretation. Topics include short-pulse optical absorption, the molecular adiabatic approximation, transient-absorption spectroscopy, vibrational adiabaticity during conformational change, femtosecond stimulated Raman spectroscopy, multi-dimensional electronic spec
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16

Predistortion of Quadrature Amplitude Modulation Signals Using Volterra Series Approximation. Storming Media, 1996.

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17

Britanak, Vladimir, Patrick C. Yip, and K. R. Rao. Discrete Cosine and Sine Transforms: General Properties, Fast Algorithms and Integer Approximations. Academic Press, 2006.

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18

Britanak, Vladimir, Patrick C. Yip, and K. R. Rao. Discrete Cosine and Sine Transforms: General Properties, Fast Algorithms and Integer Approximations. Elsevier Science & Technology Books, 2010.

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19

Britanak, Vladimir, Patrick C. Yip, and K. R. Rao. Discrete Cosine and Sine Transforms: General Properties, Fast Algorithms and Integer Approximations. Academic Press, 2006.

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20

(Editor), J. D. Fournier, J. Grimm (Editor), J. Leblond (Editor), and J. R. Partington (Editor), eds. Harmonic Analysis and Rational Approximation: Their Rôles in Signals, Control and Dynamical Systems (Lecture Notes in Control and Information Sciences). Springer, 2006.

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21

Bratteli, Ola, Palle Jorgensen, and B. Treadway. Wavelets Through a Looking Glass: The World of the Spectrum. Birkhäuser, 2013.

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22

Bratteli, Ola, and Palle Jorgensen. Wavelets through a Looking Glass (Applied and Numerical Harmonic Analysis). Birkhäuser Boston, 2002.

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23

Bratteli, Ola, Palle Jorgensen, and B. Treadway. Wavelets Through a Looking Glass: The World of the Spectrum. Springer, 2007.

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24

Verbaarschot, Jac. Quantum chaos and quantum graphs. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.33.

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This article examines the origins of the universality of the spectral statistics of quantum chaotic systems in the context of periodic orbit theory. It also considers interesting analogies between periodic orbit theory and the sigma model, along with related work on quantum graphs. The article first reviews some facts and definitions for classically chaotic systems in order to elucidate their quantum behaviour, focusing on systems with two degrees of freedom: one characterized by ergodicity and another by hyperbolicity. It then describes two semiclassical approximation techniques — Gutzwiller’
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25

Finite Frame Theory: A Complete Introduction to Overcompleteness. American Mathematical Society, 2016.

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26

Tensors: Asymptotic Geometry and Developments, 2016-2018. American Mathematical Society, 2019.

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27

Tensors: Geometry and applications. American Mathematical Society, 2011.

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28

Functions with Disconnected Spectrum: Sampling, Interpolation, Translates. American Mathematical Society, 2016.

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