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Mathematical aspects of signal processing /

"Discusses the mathematical concepts and their interpretations in the field of signal processing"--

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Sircar, Pradip (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, United Kingdom ; New York : Cambridge University Press, 2016.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Mathematical aspects of signal processing /  |c Pradip Sircar. 
264 1 |a Cambridge, United Kingdom ;  |a New York :  |b Cambridge University Press,  |c 2016. 
300 |a 1 online resource (xix, 236 pages) 
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504 |a Includes bibliographical references and index. 
520 |a "Discusses the mathematical concepts and their interpretations in the field of signal processing"--  |c Provided by publisher 
588 0 |a Print version record. 
505 0 |6 880-01  |a Cover; Mathematical Aspects of Signal Processing; Title; Copyright; Dedication; Contents; Figures; Tables; Foreword; Preface; Acknowledgments; 1 Paradigm of Signal Processing; 1.1 Introduction; 1.2 A Case Study: Spectral Estimation; 1.3 Outline Plan; Bibliography; 2 Function Representation; 2.1 Polynomial Interpolation and Lagrange Formula; 2.2 Error in Polynomial Interpolation and Chebyshev Interpolating Points; 2.3 Gregory-Newton Divided-Difference Formula and Hermite Interpolation; 2.3.1 Hermite Interpolation Method. 
505 8 |a 2.4 Weierstrass Theorem and Uniform Convergence of Polynomial Approximation2.5 Best Approximation in Normed Linear Space; 2.6 Minimax Approximation and Exchange Algorithm; 2.7 Least Absolute Approximation and Linear Programming; 2.7.1 Linear Programming Method; 2.8 Least Squares Approximation and Orthogonal Polynomials; 2.8.1 Least Squares Approximation of Periodic Functions; 2.9 Signal Processing Applications I: Complex Exponential Signal Representation; 2.9.1 Prony's Method; 2.9.2 The Derivative Methods; 2.9.3 The Integral Method. 
505 8 |a 2.9.4 Linear Prediction Model for Noisy Data and Extended Order Modelling2.9.5 Transient Signal Analysis I; 2.9.6 Simulation Study: Example 1 (Non-uniform Sampling); 2.9.7 Smoothing; 2.9.8 Simulation Study: Example 2 (Noisy Signal); 2.9.9 Simulation Study: Example 3 (Parameter Estimation -- Non-uniform Sampling); 2.9.10 Simulation Study: Example 4 (Parameter Estimation -- Noisy Signal); 2.10 Signal Processing Applications II: Numerical Analysis of Optical Fibres; 2.10.1 Numerical Analysis of Optical Fibres with Arbitrary Refractive Index Profile. 
505 8 |a 3.10 Ill-posed Operator Equations and Regularization Theory3.10.1 Regularization Theory of Miller; 3.10.2 Landweber Iteration; 3.10.3 Regularization Method of Tikhonov; 3.11 Signal Processing Applications III: Non-uniform Sampling and Signal Parameter Estimation; 3.11.1 Transient Signal Analysis II; 3.11.2 Simulation Study: Example 1 (Numerical Stability); 3.11.3 Simulation Study: Example 2 (Extended-Order Modelling); Bibliography; 4 Modal Decomposition; 4.1 Schmidt Pair and Singular Value Decomposition; 4.2 Rank Property and Subspaces; 4.3 Matrix Inverse and Condition Number. 
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776 0 8 |i Print version:  |a Sircar, Pradip.  |t Mathematical aspects of signal processing.  |d Cambridge, United Kingdom ; New York : Cambridge University Press, 2016  |z 9781107175174  |w (DLC) 2016019491  |w (OCoLC)951172560 
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880 8 |6 505-01/(S  |a 2.10.2 Simulation Study: Example 5 (`α-law Profile Fibre)Bibliography; 3 Generalized Inverse; 3.1 Simultaneous Linear Equations; 3.2 Generalized Inverse of Matrix; 3.3 Generalized Inverse by Orthogonal Bordering; 3.4 Generalized Inverse by Matrix Factorization; 3.4.1 Singular Value Decomposition; 3.5 Generalized Inverse by Matrix Partitioning; 3.6 Perturbation Analysis of Solution Vector; 3.7 Stability of Least Squares Solution; 3.8 Linear Operator Equation and Method of Orthogonal Projection; 3.8.1 Integral Equation and Method of Galerkin; 3.9 Conjugate Direction Methods. 
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