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