1st Edition

Signal and Image Processing in Navigational Systems

By Vyacheslav Tuzlukov Copyright 2004
    660 Pages 230 B/W Illustrations
    by CRC Press

    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.

    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

    Biography

    Tuzlukov, Vyacheslav