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Nonlinear signal processing [[electronic resource] ] : a statistical approach / / Gonzalo R. Arce
Nonlinear signal processing [[electronic resource] ] : a statistical approach / / Gonzalo R. Arce
Autore Arce Gonzalo R
Pubbl/distr/stampa Hoboken ; ; Chichester, : Wiley, 2005
Descrizione fisica 1 online resource (483 p.)
Disciplina 621.3822
Soggetto topico Signal processing - Mathematics
Statistics
ISBN 1-280-27293-7
9786610272938
0-470-32361-2
0-471-69184-4
0-471-69185-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Nonlinear Signal Processing: A Statistical Approach; Preface; Acknowledgments; Contents; Acronyms; 1 Introduction; 1.1 NonGaussian Random Processes; 1.1.1 Generalized Gaussian Distributions and Weighted Medians; 1.1.2 Stable Distributions and Weighted Myriads; 1.2 Statistical Foundations; 1.3 The Filtering Problem; 1.3.1 Moment Theory; Part I Statistical Foundations; 2 NonGaussian Models; 2.1 Generalized Gaussian Distributions; 2.2 Stable Distributions; 2.2.1 Definitions; 2.2.2 Symmetric Stable Distributions; 2.2.3 Generalized Central Limit Theorem; 2.2.4 Simulation of Stable Sequences
2.3 Lower-Order Moments2.3.1 Fractional Lower-Order Moments; 2.3.2 Zero-Order Statistics; 2.3.3 Parameter Estimation of Stable Distributions; Problems; 3 Order Statistics; 3.1 Distributions Of Order Statistics; 3.2 Moments Of Order Statistics; 3.2.1 Order Statistics From Uniform Distributions; 3.2.2 Recurrence Relations; 3.3 Order Statistics Containing Outliers; 3.4 Joint Statistics Of Ordered And NonOrdered Samples; Problems; 4 Statistical Foundations of Filtering; 4.1 Properties of Estimators; 4.2 Maximum Likelihood Estimation; 4.3 Robust Estimation; Problems
Part II Signal Processing with Order Statistics5 Median and Weighted Median Smoothers; 5.1 Running Median Smoothers; 5.1.1 Statistical Properties; 5.1.2 Root Signals (Fixed Points); 5.2 Weighted Median Smoothers; 5.2.1 The Center-Weighted Median Smoother; 5.2.2 Permutation-Weighted Median Smoothers; 5.3 Threshold Decomposition Representation; 5.3.1 Stack Smoothers; 5.4 Weighted Medians in Least Absolute Deviation (LAD) Regression; 5.4.1 Foundation and Cost Functions; 5.4.2 LAD Regression with Weighted Medians; 5.4.3 Simulation; Problems; 6 Weighted Median Filters
6.1 Weighted Median Filters With Real-Valued Weights6.1.1 Permutation-Weighted Median Filters; 6.2 Spectral Design of Weighted Median Filters; 6.2.1 Median Smoothers and Sample Selection Probabilities; 6.2.2 SSPs for Weighted Median Smoothers; 6.2.3 Synthesis of WM Smoothers; 6.2.4 General Iterative Solution; 6.2.5 Spectral Design of Weighted Median Filters Admitting Real-Valued Weights; 6.3 The Optimal Weighted Median Filtering Problem; 6.3.1 Threshold Decomposition For Real-Valued Signals; 6.3.2 The Least Mean Absolute (LMA) Algorithm; 6.4 Recursive Weighted Median Filters
6.4.1 Threshold Decomposition Representation of Recursive WM Filters6.4.2 Optimal Recursive Weighted Median Filtering; 6.5 Mirrored Threshold Decomposition and Stack Filters; 6.5.1 Stack Filters; 6.5.2 Stack Filter Representation of Recursive WM Filters; 6.6 Complex-Valued Weighted Median Filters; 6.6.1 Phase-Coupled Complex WM Filter; 6.6.2 Marginal Phase-Coupled Complex WM Filter; 6.6.3 Complex threshold decomposition; 6.6.4 Optimal Marginal Phase-Coupled Complex WM; 6.6.5 Spectral Design of Complex-Valued Weighted Medians; 6.7 Weighted Median Filters for Multichannel Signals
6.7.1 Marginal WM filter
Record Nr. UNINA-9910146070603321
Arce Gonzalo R  
Hoboken ; ; Chichester, : Wiley, 2005
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Nonlinear signal processing : a statistical approach / / Gonzalo R. Arce
Nonlinear signal processing : a statistical approach / / Gonzalo R. Arce
Autore Arce Gonzalo R
Edizione [1st ed.]
Pubbl/distr/stampa Hoboken ; ; Chichester, : Wiley, 2005
Descrizione fisica 1 online resource (483 p.)
Disciplina 621.3822
Soggetto topico Signal processing - Mathematics
Statistics
ISBN 1-280-27293-7
9786610272938
0-470-32361-2
0-471-69184-4
0-471-69185-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Nonlinear Signal Processing: A Statistical Approach; Preface; Acknowledgments; Contents; Acronyms; 1 Introduction; 1.1 NonGaussian Random Processes; 1.1.1 Generalized Gaussian Distributions and Weighted Medians; 1.1.2 Stable Distributions and Weighted Myriads; 1.2 Statistical Foundations; 1.3 The Filtering Problem; 1.3.1 Moment Theory; Part I Statistical Foundations; 2 NonGaussian Models; 2.1 Generalized Gaussian Distributions; 2.2 Stable Distributions; 2.2.1 Definitions; 2.2.2 Symmetric Stable Distributions; 2.2.3 Generalized Central Limit Theorem; 2.2.4 Simulation of Stable Sequences
2.3 Lower-Order Moments2.3.1 Fractional Lower-Order Moments; 2.3.2 Zero-Order Statistics; 2.3.3 Parameter Estimation of Stable Distributions; Problems; 3 Order Statistics; 3.1 Distributions Of Order Statistics; 3.2 Moments Of Order Statistics; 3.2.1 Order Statistics From Uniform Distributions; 3.2.2 Recurrence Relations; 3.3 Order Statistics Containing Outliers; 3.4 Joint Statistics Of Ordered And NonOrdered Samples; Problems; 4 Statistical Foundations of Filtering; 4.1 Properties of Estimators; 4.2 Maximum Likelihood Estimation; 4.3 Robust Estimation; Problems
Part II Signal Processing with Order Statistics5 Median and Weighted Median Smoothers; 5.1 Running Median Smoothers; 5.1.1 Statistical Properties; 5.1.2 Root Signals (Fixed Points); 5.2 Weighted Median Smoothers; 5.2.1 The Center-Weighted Median Smoother; 5.2.2 Permutation-Weighted Median Smoothers; 5.3 Threshold Decomposition Representation; 5.3.1 Stack Smoothers; 5.4 Weighted Medians in Least Absolute Deviation (LAD) Regression; 5.4.1 Foundation and Cost Functions; 5.4.2 LAD Regression with Weighted Medians; 5.4.3 Simulation; Problems; 6 Weighted Median Filters
6.1 Weighted Median Filters With Real-Valued Weights6.1.1 Permutation-Weighted Median Filters; 6.2 Spectral Design of Weighted Median Filters; 6.2.1 Median Smoothers and Sample Selection Probabilities; 6.2.2 SSPs for Weighted Median Smoothers; 6.2.3 Synthesis of WM Smoothers; 6.2.4 General Iterative Solution; 6.2.5 Spectral Design of Weighted Median Filters Admitting Real-Valued Weights; 6.3 The Optimal Weighted Median Filtering Problem; 6.3.1 Threshold Decomposition For Real-Valued Signals; 6.3.2 The Least Mean Absolute (LMA) Algorithm; 6.4 Recursive Weighted Median Filters
6.4.1 Threshold Decomposition Representation of Recursive WM Filters6.4.2 Optimal Recursive Weighted Median Filtering; 6.5 Mirrored Threshold Decomposition and Stack Filters; 6.5.1 Stack Filters; 6.5.2 Stack Filter Representation of Recursive WM Filters; 6.6 Complex-Valued Weighted Median Filters; 6.6.1 Phase-Coupled Complex WM Filter; 6.6.2 Marginal Phase-Coupled Complex WM Filter; 6.6.3 Complex threshold decomposition; 6.6.4 Optimal Marginal Phase-Coupled Complex WM; 6.6.5 Spectral Design of Complex-Valued Weighted Medians; 6.7 Weighted Median Filters for Multichannel Signals
6.7.1 Marginal WM filter
Record Nr. UNINA-9910827984003321
Arce Gonzalo R  
Hoboken ; ; Chichester, : Wiley, 2005
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui