Book description
This book addresses one of the key problems in signal processing, the problem of identifying statistical properties of excursions in a random process in order to simplify the theoretical analysis and make it suitable for engineering applications. Precise and approximate formulas are explained, which are relatively simple and can be used for engineering applications such as the design of devices which can overcome the high initial uncertainty of the selftraining period. The information presented in the monograph can be used to implement adaptive signal processing devices capable of detecting or recognizing the wanted signals (with a priori unknown statistical properties) against the background noise. The applications presented can be used in a wide range of fields including medicine, radiolocation, telecommunications, surface quality control (flaw detection), image recognition, thermal noise analysis for the design of semiconductors, and calculation of excessive load in mechanics.
 Introduces Englishspeaking students and researchers in to the results obtained in the former Soviet/ Russian academic institutions within last few decades.
 Supplies a range of applications suitable for all levels from undergraduate to professional
 Contains computer simulations
Table of contents
 Cover image
 Title page
 Table of Contents
 Copyright
 Dedication
 Preface
 Introduction
 1. Probability Characteristics of Random Processes
 2. Study of Informative Parameters of Excursions in Stationary Random Processes

3. Estimation of Distribution Densities of Excursion Durations for Random Stationary Broadband Signals
 3.1 Estimation of Distribution Density of ZeroCrossing Intervals for Random Processes Symmetrical About Zero
 3.2 One Way to Increase the Accuracy of the First Approximation for the Distribution Density of LevelCrossing Time Intervals in a Stationary Random Process
 3.3 Methods of Calculating LevelCrossing Parameters for Certain Classes of NonGaussian Stationary Random Processes

4. Estimating Certain Informative Parameters of Random Process Excursions Above a Given Level
 4.1 Estimating the Variance in Duration of Intervals Between Successive Excursions Above a Given Level in a Stationary Random Process
 4.2 Estimating Exponential Tail Parameters for Distribution of Excursions in Stationary Random Processes
 4.3 A Study into the Relation Between the Relative RootMeanSquare Error of Measurement of the Cumulative Distribution Function of a Stationary Random Process and the Observation Time

5. Using a Family of Correlation Functions of a Clipped Random Process to Increase the Accuracy of LevelCrossing Parameters Estimation
 5.1 One Method for Calculating Parameters of Zero Crossings in Broadband Centered Random Processes
 5.2 One Method for Calculating Parameters of Crossing a Given Standardized Threshold Level by a Random Process
 5.3 Estimating the Distribution of Values for the Total Duration of Two or More Successive Excursions of a Random Process Above a Given Threshold
 6. Estimates Obtained Through the Study of Certain LessKnown Parameters of Excursions in Differentiable Random Processes

7. Design Methodology of Adaptable Analyzers Used to Measure the Parameters of Excursions in Stationary Random Processes
 7.1 Principal Features of Random Process Parameter Analyzers
 7.2 The Analyzer of Duration Values Distribution Density for AboveThreshold Excursions in Random Processes
 7.3 Adaptable Analyzer of Interval Length Distribution for Intervals During Which a Random Signal Remains Within or Goes Beyond Given Boundaries
 7.4 The Adaptable Random Signal Amplitude Analyzer
 7.5 An Adaptable Analyzer of Areas Under AboveThreshold Excursions of Random Processes
 7.6 One Way to Measure the Variance in a Broadband Centered Gaussian Random Process
 Appendix 1. PC Simulations of Gaussian and Rayleigh Random Processes
 Appendix 2. Simulation of the Distribution of Time to the Next Boundary Crossing in Gaussian and Rayleigh Random Processes
 Appendix 3. Simulation of Distribution Densities for Areas Enveloped by AboveThreshold or BelowThreshold Excursions of Gaussian and Rayleigh Random Process Curves
 References
Product information
 Title: Applications of Random Process Excursion Analysis
 Author(s):
 Release date: July 2013
 Publisher(s): Elsevier
 ISBN: 9780124104693
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