Applications of Random Process Excursion Analysis, 1st Edition

  • Published By:
  • ISBN-10: 012410469X
  • ISBN-13: 9780124104693
  • DDC: 621.3822
  • Grade Level Range: College Freshman - College Senior
  • 252 Pages | eBook
  • Original Copyright 2013 | Published/Released June 2014
  • This publication's content originally published in print form: 2013

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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 self-training 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 English-speaking students and researchers in to the results obtained in the former Soviet/ Russian academic institutions within last few decades.

Table of Contents

Front Cover.
Half Title Page.
Title Page.
Copyright Page.
Dedication Page.
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.
4: Estimating Certain Informative Parameters of Random Process Excursions Above a Given Level.
5: Using a Family of Correlation Functions of a Clipped Random Process to Increase the Accuracy of Level-Crossing Parameters Estimation.
6: Estimates Obtained Through the Study of Certain Less-Known Parameters of Excursions in Differentiable Random Processes.
7: Design Methodology of Adaptable Analyzers Used to Measure the Parameters of Excursions in Stationary Random Processes.
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 Above-Threshold or Below-Threshold Excursions of Gaussian and Rayleigh Random Process Curves.