Spectrum estimation and system identification

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Bibliographische Detailangaben
Hauptverfasser: Pillai, S. Unnikrishna 1955- (VerfasserIn), Shim, Theodore I. (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: New York u.a. Springer 1993
Schlagworte:
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MARC

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Datensatz im Suchindex

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adam_text Contents Dedication v Preface vii Chapter 1 Introduction 1 1 1 Introduction 1 1 2 Organization of the Book 3 1 3 Notations and Preliminaries 5 Chapter 2 Power Spectra and Positive Functions 7 2 1 Stationary Processes and Power Spectra 7 211 Linear Prediction 22 2 2 Positive Functions 31 221 Bounded Functions 39 222 Schur Algorithm and Line Extraction 49 Problems 56 Chapter 3 Admissible Spectral Extensions 61 3 1 Introduction 61 3 2 Geometrical Solution 62 3 3 Parametrization of Admissible Extensions 66 331 Levinson Polynomials and Reflection Coefficients 75 332 Reflection Coefficients and Characteristic Impedances 84 3 4 Two-Step Predictor 87 Appendix 3 A Maximization of the fc-Step Minimum Mean-Square Prediction Error 105 Appendix 3 B Uniqueness of p(z) 109 Appendix 3 C Negative Discriminant 110 Appendix 3 D Existence of the Second Bounded-Real Solution 111 Problems 113 Chapter 4 ARMA-System Identification and Rational Approximation 117 4 1 Introduction 117 411 Exact Autocorrelations Case 118 412 Known Data Case 125 Contents 4 2 ARMA-System Identification - A New Approach 132 421 ARMA-System Characterization 136 422 ARMA-Parameter Estimation 140 423 Model Order Selection 143 424 Simulation Results 146 4 3 Rational Approximation of Nonrational Systems 163 431 Pade-like Approximation 164 432 Numerical Results 172 Appendix 4AA Necessary Condition for Pade-like Approximation 188 Appendix 4 B Diagonal Pade Approximations of e~p 190 Problems 195 Chapter 5 Multichannel System Identification 197 5 1 Introduction 197 5 2 Multichannel Admissible Spectral Extensions 207 521 Multichannel Schur Algorithm and a Weak Form of Richards’ Theorem 211 522 Left-Inverse Form 216 523 Right-Inverse Form 223 524 Multichannel Spectral Extension — Youla’s Representation 230 5 3 Multichannel Rational System Identification 240 531 MARMA System Characterization 243 532 MARMA Parameter Estimation 247 533 Model Order Selection 249 534 Simulation Results 254 5 4 Multichannel Rational Approximation of Nonrational Systems 286 541 Multichannel Pade-like Approximation 288 Appendix 5 A Reflection Coefficient Matrices and Their Left and Right Factors 304 Appendix 5 B Renormalization of dn(z) 307 Problems 311 References 317 Index 325
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publishDate 1993
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spellingShingle Pillai, S. Unnikrishna 1955-
Shim, Theodore I.
Spectrum estimation and system identification
Energía fantasma
Identificación de sistemas
Mathematik
Power spectra
Signal processing Mathematics
System identification
Systemidentifikation (DE-588)4121753-6 gnd
Spektralanalyse Stochastik (DE-588)4056125-2 gnd
Signalverarbeitung (DE-588)4054947-1 gnd
subject_GND (DE-588)4121753-6
(DE-588)4056125-2
(DE-588)4054947-1
title Spectrum estimation and system identification
title_auth Spectrum estimation and system identification
title_exact_search Spectrum estimation and system identification
title_full Spectrum estimation and system identification S. Unnikrishna Pillai ; Theodore I. Shim
title_fullStr Spectrum estimation and system identification S. Unnikrishna Pillai ; Theodore I. Shim
title_full_unstemmed Spectrum estimation and system identification S. Unnikrishna Pillai ; Theodore I. Shim
title_short Spectrum estimation and system identification
title_sort spectrum estimation and system identification
topic Energía fantasma
Identificación de sistemas
Mathematik
Power spectra
Signal processing Mathematics
System identification
Systemidentifikation (DE-588)4121753-6 gnd
Spektralanalyse Stochastik (DE-588)4056125-2 gnd
Signalverarbeitung (DE-588)4054947-1 gnd
topic_facet Energía fantasma
Identificación de sistemas
Mathematik
Power spectra
Signal processing Mathematics
System identification
Systemidentifikation
Spektralanalyse Stochastik
Signalverarbeitung
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005537161&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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