Muutke küpsiste eelistusi

E-raamat: Bayesian Signal Processing - Classical, Modern, and Particle Filtering Methods 2e: Classical, Modern, and Particle Filtering Methods 2nd Edition [Wiley Online]

(University of California, Lawrence Livermore National Laboratory)
Teised raamatud teemal:
  • Wiley Online
  • Hind: 160,66 €*
  • * hind, mis tagab piiramatu üheaegsete kasutajate arvuga ligipääsu piiramatuks ajaks
Teised raamatud teemal:
Presents the Bayesian approach to statistical signal processing for a variety of useful model sets 

This book aims to give readers a unified Bayesian treatment starting from the basics (Bayes rule) to the more advanced (Monte Carlo sampling), evolving to the next-generation model-based techniques (sequential Monte Carlo sampling). This next edition incorporates a new chapter on Sequential Bayesian Detection, a new section on Ensemble Kalman Filters as well as an expansion of Case Studies that detail Bayesian solutions for a variety of applications. These studies illustrate Bayesian approaches to real-world problems incorporating detailed particle filter designs, adaptive particle filters and sequential Bayesian detectors. In addition to these major developments a variety of sections are expanded to fill-in-the gaps of the first edition. Here metrics for particle filter (PF) designs with emphasis on classical sanity testing lead to ensemble techniques as a basic requirement for performance analysis. The expansion of information theory metrics and their application to PF designs is fully developed and applied. These expansions of the book have been updated to provide a more cohesive discussion of Bayesian processing with examples and applications enabling the comprehension of alternative approaches to solving estimation/detection problems.

The second edition of Bayesian Signal Processing features: 





Classical Kalman filtering for linear, linearized, and nonlinear systems; modern unscented and ensemble Kalman filters: and the next-generation Bayesian particle filters Sequential Bayesian detection techniques incorporating model-based schemes for a variety of real-world problems Practical Bayesian processor designs including comprehensive methods of performance analysis ranging from simple sanity testing and ensemble techniques to sophisticated information metrics New case studies on adaptive particle filtering and sequential Bayesian detection are covered detailing more Bayesian approaches to applied problem solving MATLAB® notes at the end of each chapter help readers solve complex problems using readily available software commands and point out other software packages available Problem sets included to test readers knowledge and help them put their new skills into practice Bayesian 

Signal Processing, Second Edition is written for all students, scientists, and engineers who investigate and apply signal processing to their everyday problems.
Preface to Second Edition xiii
References
xv
Preface to First Edition xvii
References
xxiii
Acknowledgments xxvii
List of Abbreviations xxix
1 Introduction 1(19)
1.1 Introduction
1(1)
1.2 Bayesian Signal Processing
1(3)
1.3 Simulation-Based Approach to Bayesian Processing
4(5)
1.3.1 Bayesian Particle Filter
8(1)
1.4 Bayesian Model-Based Signal Processing
9(4)
1.5 Notation and Terminology
13(2)
References
15(1)
Problems
16(4)
2 Bayesian Estimation 20(32)
2.1 Introduction
20(1)
2.2 Batch Bayesian Estimation
20(3)
2.3 Batch Maximum Likelihood Estimation
23(11)
2.3.1 Expectation—Maximization Approach to Maximum Likelihood
27(3)
2.3.2 EM for Exponential Family of Distributions
30(4)
2.4 Batch Minimum Variance Estimation
34(3)
2.5 Sequential Bayesian Estimation
37(8)
2.5.1 Joint Posterior Estimation
41(1)
2.5.2 Filtering Posterior Estimation
42(3)
2.5.3 Likelihood Estimation
45(1)
2.6 Summary
45(1)
References
46(1)
Problems
47(5)
3 Simulation-Based Bayesian Methods 52(46)
3.1 Introduction
52(2)
3.2 Probability Density Function Estimation
54(4)
3.3 Sampling Theory
58(8)
3.3.1 Uniform Sampling Method
60(4)
3.3.2 Rejection Sampling Method
64(2)
3.4 Monte Carlo Approach
66(17)
3.4.1 Markov Chains
71(3)
3.4.2 Metropolis—Hastings Sampling
74(1)
3.4.3 Random Walk Metropolis—Hastings Sampling
75(4)
3.4.4 Gibbs Sampling
79(2)
3.4.5 Slice Sampling
81(2)
3.5 Importance Sampling
83(4)
3.6 Sequential Importance Sampling
87(3)
3.7 Summary
90(1)
References
91(3)
Problems
94(4)
4 State—Space Models for Bayesian Processing 98(52)
4.1 Introduction
98(1)
4.2 Continuous-Time State—Space Models
99(4)
4.3 Sampled-Data State—Space Models
103(4)
4.4 Discrete-Time State—Space Models
107(8)
4.4.1 Discrete Systems Theory
109(6)
4.5 Gauss—Markov State—Space Models
115(8)
4.5.1 Continuous-Time/Sampled-Data Gauss—Markov Models
115(2)
4.5.2 Discrete-Time Gauss—Markov Models
117(6)
4.6 Innovations Model
123(1)
4.7 State—Space Model Structures
124(13)
4.7.1 Time Series Models
124(7)
4.7.2 State—Space and Time Series Equivalence Models
131(6)
4.8 Nonlinear (Approximate) Gauss—Markov State—Space Models
137(5)
4.9 Summary
142(1)
References
142(1)
Problems
143(7)
5 Classical Bayesian State-Space Processors 150(51)
5.1 Introduction
150(1)
5.2 Bayesian Approach to the State—Space
151(2)
5.3 Linear Bayesian Processor (Linear Kalman Filter)
153(9)
5.4 Linearized Bayesian Processor (Linearized Kalman Filter)
162(8)
5.5 Extended Bayesian Processor (Extended Kalman Filter)
170(9)
5.6 Iterated-Extended Bayesian Processor (Iterated-Extended Kalman Filter)
179(6)
5.7 Practical Aspects of Classical Bayesian Processors
185(5)
5.8 Case Study: RLC Circuit Problem
190(4)
5.9 Summary
194(1)
References
195(1)
Problems
196(5)
6 Modern Bayesian State—Space Processors 201(52)
6.1 Introduction
201(1)
6.2 Sigma-Point (Unscented) Transformations
202(11)
6.2.1 Statistical Linearization
202(3)
6.2.2 Sigma-Point Approach
205(5)
6.2.3 SPT for Gaussian Prior Distributions
210(3)
6.3 Sigma-Point Bayesian Processor (Unscented Kalman Filter)
213(10)
6.3.1 Extensions of the Sigma-Point Processor
222(1)
6.4 Quadrature Bayesian Processors
223(1)
6.5 Gaussian Sum (Mixture) Bayesian Processors
224(4)
6.6 Case Study: 2D-Tracking Problem
228(6)
6.7 Ensemble Bayesian Processors (Ensemble Kalman Filter)
234(11)
6.8 Summary
245(2)
References
247(2)
Problems
249(4)
7 Particle-Based Bayesian State—Space Processors 253(74)
7.1 Introduction
253(1)
7.2 Bayesian State—Space Particle Filters
253(5)
7.3 Importance Proposal Distributions
258(4)
7.3.1 Minimum Variance Importance Distribution
258(3)
7.3.2 Transition Prior Importance Distribution
261(1)
7.4 Resampling
262(8)
7.4.1 Multinomial Resampling
267(1)
7.4.2 Systematic Resampling
268(1)
7.4.3 Residual Resampling
269(1)
7.5 State—Space Particle Filtering Techniques
270(20)
7.5.1 Bootstrap Particle Filter
270(4)
7.5.2 Auxiliary Particle Filter
274(7)
7.5.3 Regularized Particle Filter
281(2)
7.5.4 MCMC Particle Filter
283(3)
7.5.5 Linearized Particle Filter
286(4)
7.6 Practical Aspects of Particle Filter Design
290(21)
7.6.1 Sanity Testing
290(1)
7.6.2 Ensemble Estimation
291(2)
7.6.3 Posterior Probability Validation
293(11)
7.6.4 Model Validation Testing
304(7)
7.7 Case Study: Population Growth Problem
311(6)
7.8 Summary
317(1)
References
318(3)
Problems
321(6)
8 Joint Bayesian State/Parametric Processors 327(40)
8.1 Introduction
327(1)
8.2 Bayesian Approach to Joint State/Parameter Estimation
328(2)
8.3 Classical/Modern Joint Bayesian State/Parametric Processors
330(11)
8.3.1 Classical Joint Bayesian Processor
331(7)
8.3.2 Modern Joint Bayesian Processor
338(3)
8.4 Particle-Based Joint Bayesian State/Parametric Processors
341(8)
8.4.1 Parametric Models
342(2)
8.4.2 Joint Bayesian State/Parameter Estimation
344(5)
8.5 Case Study: Random Target Tracking Using a Synthetic Aperture Towed Array
349(10)
8.6 Summary
359(1)
References
360(2)
Problems
362(5)
9 Discrete Hidden Markov Model Bayesian Processors 367(34)
9.1 Introduction
367(1)
9.2 Hidden Markov Models
367(5)
9.2.1 Discrete-Time Markov Chains
368(1)
9.2.2 Hidden Markov Chains
369(3)
9.3 Properties of the Hidden Markov Model
372(1)
9.4 HMM Observation Probability: Evaluation Problem
373(3)
9.5 State Estimation in HMM: The Viterbi Technique
376(8)
9.5.1 Individual Hidden State Estimation
377(3)
9.5.2 Entire Hidden State Sequence Estimation
380(4)
9.6 Parameter Estimation in HMM: The EM/Baum—Welch Technique
384(6)
9.6.1 Parameter Estimation with State Sequence Known
385(2)
9.6.2 Parameter Estimation with State Sequence Unknown
387(3)
9.7 Case Study: Time-Reversal Decoding
390(5)
9.8 Summary
395(1)
References
396(2)
Problems
398(3)
10 Sequential Bayesian Detection 401(83)
10.1 Introduction
401(1)
10.2 Binary Detection Problem
402(9)
10.2.1 Classical Detection
403(4)
10.2.2 Bayesian Detection
407(1)
10.2.3 Composite Binary Detection
408(3)
10.3 Decision Criteria
411(12)
10.3.1 Probability-of-Error Criterion
411(1)
10.3.2 Bayes Risk Criterion
412(2)
10.3.3 Neyman—Pearson Criterion
414(2)
10.3.4 Multiple (Batch) Measurements
416(2)
10.3.5 Multichannel Measurements
418(2)
10.3.6 Multiple Hypotheses
420(3)
10.4 Performance Metrics
423(17)
10.4.1 Receiver Operating Characteristic (ROC) Curves
424(16)
10.5 Sequential Detection
440(7)
10.5.1 Sequential Decision Theory
442(5)
10.6 Model-Based Sequential Detection
447(12)
10.6.1 Linear Gaussian Model-Based Processor
447(4)
10.6.2 Nonlinear Gaussian Model-Based Processor
451(3)
10.6.3 Non-Gaussian Model-Based Processor
454(5)
10.7 Model-Based Change (Anomaly) Detection
459(9)
10.7.1 Model-Based Detection
460(1)
10.7.2 Optimal Innovations Detection
461(2)
10.7.3 Practical Model-Based Change Detection
463(5)
10.8 Case Study: Reentry Vehicle Change Detection
468(4)
10.8.1 Simulation Results
471(1)
10.9 Summary
472(3)
References
475(2)
Problems
477(7)
11 Bayesian Processors for Physics-Based Applications 484(92)
11.1 Optimal Position Estimation for the Automatic Alignment
484(13)
11.1.1 Background
485(2)
11.1.2 Stochastic Modeling of Position Measurements
487(2)
11.1.3 Bayesian Position Estimation and Detection
489(1)
11.1.4 Application: Beam Line Data
490(2)
11.1.5 Results: Beam Line (KDP Deviation) Data
492(2)
11.1.6 Results: Anomaly Detection
494(3)
11.2 Sequential Detection of Broadband Ocean Acoustic Sources
497(23)
11.2.1 Background
498(2)
11.2.2 Broadband State—Space Ocean Acoustic Propagators
500(4)
11.2.3 Discrete Normal-Mode State—Space Representation
504(1)
11.2.4 Broadband Bayesian Processor
504(1)
11.2.5 Broadband Particle Filters
505(2)
11.2.6 Broadband Bootstrap Particle Filter
507(2)
11.2.7 Bayesian Performance Metrics
509(1)
11.2.8 Sequential Detection
509(3)
11.2.9 Broadband BSP Design
512(8)
11.2.10 Summary
520(1)
11.3 Bayesian Processing for Biothreats
520(8)
11.3.1 Background
521(3)
11.3.2 Parameter Estimation
524(1)
11.3.3 Bayesian Processor Design
525(1)
11.3.4 Results
526(2)
11.4 Bayesian Processing for the Detection of Radioactive Sources
528(13)
11.4.1 Physics-Based Processing Model
528(3)
11.4.2 Radionuclide Detection
531(4)
11.4.3 Implementation
535(4)
11.4.4 Detection
539(1)
11.4.5 Data
540(1)
11.4.6 Radionuclide Detection
540(1)
11.4.7 Summary
541(1)
11.5 Sequential Threat Detection: An X-ray Physics-Based Approach
541(13)
11.5.1 Physics-Based Models
543(4)
11.5.2 X-ray State—Space Simulation
547(2)
11.5.3 Sequential Threat Detection
549(5)
11.5.4 Summary
554(1)
11.6 Adaptive Processing for Shallow Ocean Applications
554(18)
11.6.1 State—Space Propagator
555(7)
11.6.2 Processors
562(3)
11.6.3 Model-Based Ocean Acoustic Processing
565(7)
11.6.4 Summary
572(1)
References
572(4)
Appendix: Probability and Statistics Overview 576(8)
A.1 Probability Theory
576(6)
A.2 Gaussian Random Vectors
582(1)
A.3 Uncorrelated Transformation: Gaussian Random Vectors
583(1)
References 584(1)
Index 585
JAMES V. CANDY, PhD, is Chief Scientist for Engineering, a Distinguished Member of the Technical Staff, founder, and former director of the Center for Advanced Signal & Image Sciences at the Lawrence Livermore National Laboratory. He is also an Adjunct Full Professor at the University of California, Santa Barbara, a Fellow of the IEEE, and a Fellow of the Acoustical Society of America. Dr. Candy has published more than 225 journal articles, book chapters, and technical reports. He is also the author of Signal Processing: Model-Based Approach, Signal Processing: A Modern Approach, and Model-Based Signal Processing (Wiley 2006). Dr. Candy was awarded the IEEE Distinguished Technical Achievement Award for his development of model-based signal processing and the Acoustical Society of America Helmholtz-Rayleigh Interdisciplinary Silver Medal for his contributions to acoustical signal processing and underwater acoustics.