Signal Processing Noise (Electrical Engineering & Applied Signal Processing Series)

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Signal Processing Noise (Electrical Engineering & Applied Signal Processing Series)

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  • 製本 Hardcover:ハードカバー版/ページ数 525 p.
  • 言語 ENG,ENG
  • 商品コード 9780849310256
  • DDC分類 621.38224

Full 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