Introduction / 1: |
Review of Parts I and II / 1.1: |
Random Signals in Noise / 1.2: |
Signal Processing in Radar-Sonar Systems / 1.3: |
References |
Detection of Gaussian Signals in White Gaussian Noise / 2: |
Optimum Receivers / 2.1: |
Canonical Realization No. 1: Estimator-Correlator / 2.1.1: |
Canonical Realization No. 2: Filter-Correlator Receiver / 2.1.2: |
Canonical Realization No. 3: Filter-Squarer-Integrator (FSI) Receiver / 2.1.3: |
Canonical Realization No. 4: Optimum Realizable Filter Receiver / 2.1.4: |
Canonical Realization No. 4S: State-variable Realization / 2.1.5: |
Summary: Receiver Structures / 2.1.6: |
Performance / 2.2: |
Closed-form Expression for [mu](s) / 2.2.1: |
Approximate Error Expressions / 2.2.2: |
An Alternative Expression for [mu subscript R](s) / 2.2.3: |
Performance for a Typical System / 2.2.4: |
Summary: Simple Binary Detection / 2.3: |
Problems / 2.4: |
General Binary Detection: Gaussian Processes / 3: |
Model and Problem Classification / 3.1: |
Receiver Structures / 3.2: |
Whitening Approach / 3.2.1: |
Various Implementations of the Likelihood Ratio Test / 3.2.2: |
Four Special Situations / 3.2.3: |
Binary Symmetric Case / 3.4.1: |
Non-zero Means / 3.4.2: |
Stationary "Carrier-symmetric" Bandpass Problems / 3.4.3: |
Error Probability for the Binary Symmetric Bandpass Problem / 3.4.4: |
General Binary Case: White Noise Not Necessarily Present: Singular Tests / 3.5: |
Receiver Derivation / 3.5.1: |
Performance: General Binary Case / 3.5.2: |
Singularity / 3.5.3: |
Summary: General Binary Problem / 3.6: |
Special Categories of Detection Problems / 3.7: |
Stationary Processes: Long Observation Time / 4.1: |
Simple Binary Problem / 4.1.1: |
General Binary Problem / 4.1.2: |
Summary: SPLOT Problem / 4.1.3: |
Separable Kernels / 4.2: |
Separable Kernel Model / 4.2.1: |
Time Diversity / 4.2.2: |
Frequency Diversity / 4.2.3: |
Summary: Separable Kernels / 4.2.4: |
Low-Energy-Coherence (LEC) Case / 4.3: |
Summary / 4.4: |
Discussion: Detection of Gaussian Signals / 4.5: |
Related Topics / 5.1: |
M-ary Detection: Gaussian Signals in Noise / 5.1.1: |
Suboptimum Receivers / 5.1.2: |
Adaptive Receivers / 5.1.3: |
Non-Gaussian Processes / 5.1.4: |
Vector Gaussian Processes / 5.1.5: |
Summary of Detection Theory / 5.2: |
Estimation of the Parameters of a Random Process / 5.3: |
Parameter Estimation Model / 6.1: |
Estimator Structure / 6.2: |
Derivation of the Likelihood Function / 6.2.1: |
Maximum Likelihood and Maximum A-Posteriori Probability Equations / 6.2.2: |
Performance Analysis / 6.3: |
A Lower Bound on the Variance / 6.3.1: |
Calculation of J[superscript (2)](A) / 6.3.2: |
Lower Bound on the Mean-Square Error / 6.3.3: |
Improved Performance Bounds / 6.3.4: |
Special Categories of Estimation Problems / 6.4: |
General Results / 7.1: |
Performance of Truncated Estimates / 7.1.2: |
Finite-State Processes / 7.1.3: |
Low-Energy-Coherence Case / 7.3: |
Multiple-Parameter Estimation / 7.5: |
Composite-Hypothesis Tests / 7.5.2: |
Summary of Estimation Theory / 7.6: |
The Radar-sonar Problem / 7.7: |
Detection of Slowly Fluctuating Point Targets / 9: |
Model of a Slowly Fluctuating Point Target / 9.1: |
White Bandpass Noise / 9.2: |
Colored Bandpass Noise / 9.3: |
Colored Noise with a Finite State Representation / 9.4: |
Differential-equation Representation of the Optimum Receiver and Its Performance: I / 9.4.1: |
Differential-equation Representation of the Optimum Receiver and Its Performance: II / 9.4.2: |
Optimal Signal Design / 9.5: |
Summary and Related Issues / 9.6: |
Parameter Estimation: Slowly Fluctuating Point Targets / 9.7: |
Receiver Derivation and Signal Design / 10.1: |
Performance of the Optimum Estimator / 10.2: |
Local Accuracy / 10.2.1: |
Global Accuracy (or Ambiguity) / 10.2.2: |
Properties of Time-Frequency Autocorrelation Functions and Ambiguity Functions / 10.2.3: |
Coded Pulse Sequences / 10.4: |
On-off Sequences / 10.4.1: |
Constant Power, Amplitude-modulated Waveforms / 10.4.2: |
Other Coded Sequences / 10.4.3: |
Resolution / 10.5: |
Resolution in a Discrete Environment: Model / 10.5.1: |
Conventional Receivers / 10.5.2: |
Optimum Receiver: Discrete Resolution Problem / 10.5.3: |
Summary of Resolution Results / 10.5.4: |
Summary and Related Topics / 10.6: |
Doppler-Spread Targets and Channels / 10.6.1: |
Model for Doppler-Spread Target (or Channel) / 11.1: |
Detection of Doppler-Spread Targets / 11.2: |
Likelihood Ratio Test / 11.2.1: |
Canonical Receiver Realizations / 11.2.2: |
Performance of the Optimum Receiver / 11.2.3: |
Classes of Processes / 11.2.4: |
Communication Over Doppler-Spread Channels / 11.2.5: |
Binary Communications Systems: Optimum Receiver and Performance / 11.3.1: |
Performance Bounds for Optimized Binary Systems / 11.3.2: |
M-ary Systems / 11.3.3: |
Summary: Communication over Doppler-spread Channels / 11.3.5: |
Parameter Estimation: Doppler-Spread Targets / 11.4: |
Summary: Doppler-Spread Targets and Channels / 11.5: |
Range-Spread Targets and Channels / 11.6: |
Model and Intuitive Discussion / 12.1: |
Detection of Range-Spread Targets / 12.2: |
Time-Frequency Duality / 12.3: |
Basic Duality Concepts / 12.3.1: |
Dual Targets and Channels / 12.3.2: |
Applications / 12.3.3: |
Summary: Range-Spread Targets / 12.4: |
Doubly-Spread Targets and Channels / 12.5: |
Model for a Doubly-Spread Target / 13.1: |
Basic Model / 13.1.1: |
Differential-Equation Model for a Doubly-Spread Target (or Channel) / 13.1.2: |
Model Summary / 13.1.3: |
Detection in the Presence of Reverberation or Clutter (Resolution in a Dense Environment) / 13.2: |
Conventional Receiver / 13.2.1: |
Summary of the Reverberation Problem / 13.2.2: |
Detection of Doubly-Spread Targets and Communication over Doubly-Spread Channels / 13.3: |
Problem Formulation / 13.3.1: |
Approximate Models for Doubly-Spread Targets and Doubly-Spread Channels / 13.3.2: |
Binary Communication over Doubly-Spread Channels / 13.3.3: |
Detection under LEC Conditions / 13.3.4: |
Summary of Detection of Doubly-Spread Signals / 13.3.5: |
Parameter Estimation for Doubly-Spread Targets / 13.4: |
Estimation under LEC Conditions / 13.4.1: |
Amplitude Estimation / 13.4.2: |
Estimation of Mean Range and Doppler / 13.4.3: |
Summary of Doubly-Spread Targets and Channels / 13.4.4: |
Discussion / 13.6: |
Summary: Signal Processing in Radar and Sonar Systems / 14.1: |
Optimum Array Processing / 14.2: |
Epilogue / 14.3: |
Complex Representation of Bandpass Signals, Systems, and Processes / Appendix: |
Deterministic Signals / A.1: |
Bandpass Linear Systems / A.2: |
Time-Invariant Systems / A.2.1: |
Time-Varying Systems / A.2.2: |
State-Variable Systems / A.2.3: |
Bandpass Random Processes / A.3: |
Stationary Processes / A.3.1: |
Nonstationary Processes / A.3.2: |
Complex Finite-State Processes / A.3.3: |
Glossary / A.4: |
Author Index |
Subject Index |
Estimation of the Parameters of a random Process |
The Radar-Sonar Problem |
Appendix: Complex Representation of Bandpass Signals, Systems, and Processes |
Author |
Index Subject |
Index |
Introduction / 1: |
Review of Parts I and II / 1.1: |
Random Signals in Noise / 1.2: |