Signal Processing Noise: 1st Edition (Hardback) book cover

Signal Processing Noise

1st Edition

By Vyacheslav Tuzlukov

CRC Press

688 pages | 78 B/W Illus.

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Hardback: 9780849310256
pub: 2002-04-29
$265.00
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eBook (VitalSource) : 9781315220147
pub: 2018-10-08
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Description

Additive and multiplicative noise in the information signal can significantly limit the potential of complex signal processing systems, especially when those systems use signals with complex phase structure. During the last few years this problem has been the focus of much research, and its solution could lead to profound improvements in applications of complex signals and coherent signal processing.

Signal Processing Noise sets forth a generalized approach to signal processing in multiplicative and additive noise that represents a remarkable advance in signal processing and detection theory. This approach extends the boundaries of the noise immunity set by classical and modern signal processing theories, and systems constructed on this basis achieve better detection performance than that of systems currently in use. Featuring the results of the author's own research, the book is filled with examples and applications, and each chapter contains an analysis of recent observations obtained by computer modelling and experiments.

Tables and illustrations clearly show the superiority of the generalized approach over both classical and modern approaches to signal processing noise. Addressing a fundamental problem in complex signal processing systems, this book offers not only theoretical development, but practical recommendations for raising noise immunity in a wide range of applications.

Table of Contents

PROBABILITY AND STATISTICS

Probability: Basic Concepts

Random Variables

Stochastic Processes

Correlation Function

Spectral Density

Statistical Characteristics

Conclusions

References

CLASSICAL AND MODERN APPROACHES TO SIGNAL DETECTION THEORY

Gaussian Approach

Markov Approach

Bayes' Decision-Making Rule

Unbiased and Invariant Decision-Making Rules

Mini-Max Decision-Making Rule

Sequential Signal Detection

Signal Detection in Non-Gaussian Noise

Non-Parametric Signal Detection

Conclusions

References

MAIN CHARACTERISTICS OF MULTIPLICATIVE NOISE

Classification of the Noise and Interference

Sources of the Multiplicative Noise

Classification and Main Properties of Multiplicative Noise

Correlation Function and Energy Spectrum of Multiplicative Noise

Generalized Statistical Model of Multiplicative Noise

Conclusions

References

STATISTICAL CHARACTERISTICS OF SIGNALS UNDER THE STIMULUS OF MULTIPLICATIVE NOISE

Deterministic and Quasideterministic Multiplicative Noise

Stationary Fluctuating Multiplicative Noise

Ensemble and Individual Realizations of the Signal

Probability Distribution Density of the Signal in the Additive Gaussian Noise under the Stimulus of Multiplicative Noise

Multivariate Probability Distribution Density of Instantaneous Values of the Signal under the Stimulus of Fluctuating Multiplicative Noise

Conclusions

References

MAIN THEORETICAL PRINCIPLES OF THE GENERALIZED APPROACH TO SIGNAL PROCESSING UNDER THE STIMULUS OF MULTIPLICATIVE NOISE

Basic Concepts

Criticism

Initial Premises

Likelihood Ratio

Engineering Interpretation

Generalized Detector

Distribution Law

Conclusions

References

GENERALIZED APPROACH TO SIGNAL PROCESSING UNDER THE STIMULUS OF MULTIPLICATIVE NOISE AND LINEAR SYSTEMS

Signal Characteristics at the Output of Linear System of the Generalized Detector under the Stimulus of Multiplicative Noise

Signal Characteristics at the Generalized Detector Output under under the Stimulus of Multiplicative Noise

Signal Noise Component for Some Types of Signals

Signal Noise Component under the Stimulus of the Slow and Rapid Multiplicative Noise

Signal Distribution Law under the Stimulus of Multiplicative Noise

Conclusions

References

GENERALIZED APPROACH TO SIGNAL DETECTION IN THE PRESENCE OF MULTIPLICATIVE AND ADDITIVE GAUSSIAN NOISE

Statistical Characteristics of Signals at the Output of the Generalized Detector

Detection Performances of the Generalized Detector

Known Correlation Function of the Multiplicative Noise

One-Channel Generalized Detector

Diversity Signal Detection

Conclusions

References

SIGNAL PARAMETER MEASUREMENT PRECISION

A Single Signal Parameter Measurement under a Combined Stimulus of Weak Multiplicative and Additive Gaussian Noise

Simultaneous Measurement of Two Signal Parameters under a Combined Stimulus of Weak Multiplicative and Additive Gaussian Noise

A Single Parameter Measurement under a Combined Stimulus of High Multiplicative and Additive Gaussian Noise

Conclusions

References

SIGNAL RESOLUTION UNDER THE GENERALIZED APPROACH TO SIGNAL PROCESSING IN THE PRESENCE OF NOISE

Estimation Criteria of Signal Resolution

Signal Resolution by Woodward Criterion

Statistical Criterion of Signal Resolution

Conclusions

References

APPENDIX I: Delta Function

APPENDIX II: Correlation Function and Energy Spectrum of Noise Modulation Function

NOTATION INDEX

INDEX

About the Series

Electrical Engineering & Applied Signal Processing Series

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Subject Categories

BISAC Subject Codes/Headings:
TEC007000
TECHNOLOGY & ENGINEERING / Electrical