1st Edition

Signal and Image Processing in Navigational Systems




ISBN 9780849315985
Published November 29, 2004 by CRC Press
664 Pages 230 B/W Illustrations

USD $315.00

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Book Description

Classical and modern theories have given us a degree of noise immunity by defining the sufficient statistic of the mean of the likelihood function. The generalized theory moves beyond these limitations to determine the jointly sufficient statistics of the mean and variance of the likelihood function.

Signal and Image Processing in Navigational Systems introduces us to the generalized approach, and then delves rigorously into the theory and practical applications of this approach. This volume represents the most in-depth discussion of the generalized approach to date, providing many examples and computer models to demonstrate how this approach raises the upper limits of noise immunity for navigation systems, leading to better detection performances.

This book is vital for signal and image processing experts, radar, communications, acoustics, and navigational systems designers, as well as professionals in the fields of statistical pattern recognition, biomedicine, astronomy, and robotics who wish to extend the boundaries of noise immunity and improve qualitative performance of their systems.

Table of Contents

Preface
About the Author
Introduction
THEORY OF FLUCTUATING TARGET RETURN SIGNALS IN NAVIGATIONAL SYSTEMS
Probability Distribution Density of the Amplitude and Phase of the Target Return Signal
Two-Dimensional Probability Distribution Density of the Amplitude and Phase
Probability Distribution Density of the Amplitude
Probability Distribution Density of the Phase
Probability Distribution Density Parameters of the Target Return Signal as a Function of the Distribution Law of the Amplitude and Phase of Elementary Signals
Conclusions
References
Correlation Function of Target Return Signal Fluctuations
Target Return Signal Fluctuations
The Correlation Function and Power Spectral Density of the Target Return Signal
The Correlation Function with the Searching Signal of Arbitrary Shape
The Correlation Function under Scanning of the Three-Dimensional (Space) Target
The Correlation Function in Angle Scanning of the Two-Dimensional (Surface) Target
The Correlation Function under Vertical Scanning of the Two-Dimensional (Surface) Target
Conclusions
References
Fluctuations Under Scanning of the Three-Dimensional (Space) Target with the Moving Radar
Slow and Rapid Fluctuations
The Doppler Fluctuations of a High-Deflected Radar Antenna
The Doppler Fluctuations in the Arbitrarily Deflected Radar Antenna
The Total Power Spectral Density with the Pulsed Searching Signal
Conclusions
References
Fluctuations Under Scanning of the Two-Dimensional (Surface) Target by the Moving Radar
General Statements
The Continuous Searching Nonmodulated Signal
The Pulsed Searching Signal with Stationary Radar
The Pulsed Searching Signal with the Moving Radar: The Aspect Angle Correlation Function
The Pulsed Searching Signal with the Moving Radar: The Azimuth Correlation Function
The Pulsed Searching Signal with the Moving Radar: The Total Correlation Function and Power Spectral Density of the Target Return Signal Fluctuations
Short-Range Area of the Radar Antenna
Vertical Scanning of the Two-Dimensional (Surface) Target
Determination of the Power Spectral Density
Conclusions
References
Fluctuations Caused by Radar Antenna Scanning
General Statements
Line Scanning
Conical Scanning
Conical Scanning with Simultaneous Rotation of Polarization Plane
Conclusions
References
Fluctuations Caused by the Moving Radar with Simultaneous Radar Antenna Scanning
General Statements
The Moving Radar with Simultaneous Radar Antenna Line Scanning
The Moving Radar with Simultaneous Radar Antenna Conical Scanning
Conclusions
References
Fluctuations Caused by Scatterers Moving Under the Stimulus of the Wind
Deterministic Displacements of Scatterers under the Stimulus of the Layered Wind
Scatterers Moving Chaotically (Displacement and Rotation)
Simultaneous Deterministic and Chaotic Motion of Scatterers
Conclusions
References
Fluctuations Under Scanning of the Two-Dimensional (Surface) Target with the Continuous Frequency-Modulated Signal
General Statements
The Linear Frequency-Modulated Searching Signal
The Asymmetric Saw-Tooth Frequency-Modulated Searching Signal
The Symmetric Saw-Tooth Frequency-Modulated Searching Signal
The Harmonic Frequency-Modulated Searching Signal
Phase Characteristics of the Transformed Target Return Signal under Harmonic Frequency Modulation
Conclusions
References
Fluctuations Under Scanning of the Three-Dimensional (Space) Target by the Continuous Signal with a Frequency that Varies with Time
General Statements
The Nontransformed Target Return Signal
The Transformed Target Return Signal
Conclusions
References
Fluctuations Caused by Variations in Frequency from Pulse to Pulse
Three-Dimensional (Space) Target Scanning
Two-Dimensional (Surface) Target Scanning
Conclusions
References
GENERALIZED APPROACH TO SPACE-TIME SIGNAL AND IMAGE PROCESSING IN NAVIGATIONAL SYSTEMS
Foundations of the Generalized Approach to Signal Processing in Noise
Basic Concepts
Criticism
Initial Premises
Likelihood Ratio
The Engineering Interpretation
Generalized Detector
Conclusions
References
Theory of Space-Time Signal and Image Processing in Navigational Systems
Basic Concepts of Navigational System Functioning
Basics of the Generalized Approach to Signal and Image Processing in Time
Basics of the Generalized Approach to Space-Time Signal and Image Processing
Space-Time Signal Processing and Pattern Recognition Based on the Generalized Approach to Signal Processing
Peculiarities of Optical Signal Formation
Peculiarities of the Formation of the Earth's Surface Radar Image
Foundations of Digital Image Processing
Conclusions
References
Implementation Methods of the Generalized Approach to Space-Time Signal and Image Processing in Navigational Systems
Synthesis of Quasioptimal Space-Time Signal and Image Processing Algorithms Based on the Generalized Approach to Signal Processing
The Quasioptimal Generalized Image Processing Algorithm
The Classical Generalized Image Processing Algorithm
The Difference Generalized Image Processing Algorithm
The Generalized Phase Image Processing Algorithm
The Generalized Image Processing Algorithm: Invariant Moments
The Generalized Image Processing Algorithm: Amplitude Ranking
The Generalized Image Processing Algorithm: Gradient Vector Sums
The Generalized Image Processing Algorithm: Bipartite Functions
The Hierarchical Generalized Image Processing Algorithm
The Generalized Image Processing Algorithm: The Use of the Most Informative Area
The Generalized Image Processing Algorithm: Coding of Images
The Multichannel Generalized Image Processing Algorithm
Conclusions
References
Object Image Preprocessing
Object Image Distortions
Geometrical Transformations
Detection of Boundary Edges
Conclusions
References
Appendix I: Classification of Stochastic Processes
Appendix II: The Power Spectral Density of the Target Return Signal with Arbitrary Velocity Vector Direction of the Moving Radar in Space and with the Presence of Roll and Pitch Angles
Notation Index
Index

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