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| Basic Signal Theory | |
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| Introduction | |
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| Signals, Power, and Energy | |
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| Fourier Representation of Signals | |
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| Orthonormal Expansions and Fourier Transforms | |
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| Fourier Transform Properties | |
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| The Complex Signal Representation | |
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| Linear Systems | |
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| Definition | |
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| The Impulse Response and Convolution Integral | |
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| The Transfer Function | |
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| Stochastic Processes | |
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| Fourier Transforms and Power Spectra | |
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| The Weiner-Khintchine Theorem | |
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| Linear System Response to Stochastic Signals | |
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| Summary | |
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| Echo Energy and Time Base | |
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| Introduction | |
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| The Echo Energy Cycle | |
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| Geometry and Kinematics | |
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| Collinear Motion | |
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| Signal Models | |
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| Relativistic Time Mapping | |
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| Summary | |
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| Detection and Estimation | |
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| Introduction | |
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| Binary Detection | |
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| Multiple Hypotheses | |
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| Non-random Point Echo Detection | |
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| Slowly Fluctuating Point Scattering | |
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| White Gaussian Noise (WGN) | |
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| The Rician Model | |
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| Correlated Gaussian Interference | |
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| Wide Sense Stationarity | |
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| Parameter Estimation | |
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| Maximum Likelihood Estimation | |
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| The Cramer-Rao Bound (CRB) | |
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| Multiple Parameters | |
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| The Role of the Ambiguity function | |
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| Summary | |
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| Ambiguity Functions | |
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| Introduction | |
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| Models and Notation | |
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| Wide and Narrowband AF Models | |
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| The AF of Real Waveforms | |
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| Alternative Signal Representations | |
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| The Wavelet Transform (WT) | |
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| The Wigner-Ville Distribution (WVD) | |
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| AF and UF Properties | |
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| General Properties | |
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| Auto AF Properties at the Origin | |
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| The Wideband Expansion Derivation for [tau] | |
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| The Deterministic Model | |
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| The Narrowband Expansion for the Fluctuating Model | |
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| The Bandpass Waveform | |
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| Ambiguity properties at the origin | |
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| Window functions | |
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| Analytic waveform expansion coefficients | |
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| Estimation Accuracy and the Ambiguity Error Ellipse | |
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| Wideband Doppler Resolvency | |
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| Narrowband Model Error | |
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| Quadratic Distortion (QD) | |
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| The Stationary Phase Principle | |
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| Summary | |
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| Waveforms | |
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| Introduction | |
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| Ambiguity Resolution | |
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| Woodward's Time Resolution Constant | |
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| The Wigner-Ville Time-Frequency Criterion | |
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| Sparse Signal Sequences | |
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| Wideband Ambiguity Consistency | |
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| Global Ambiguity Properties | |
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| Frequency Hop Codes | |
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| Costas Codes | |
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| Congruence Codes | |
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| AF Sidelobe Bounds for Hop Codes | |
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| Hop Code AF Main Lobe Characteristics | |
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| Logarithmic Frequency Allocation of Hop Codes | |
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| PRN Waveforms | |
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| Shift Register Sequences | |
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| Runs and Repeated Segments | |
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| Generating a PRN Code Sequence | |
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| Autocorrelation and Power Spectrum | |
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| Doppler Tolerance | |
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| HFM/LPM Waveforms | |
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| Doppler Resolvent Dilation Tolerant Waveforms | |
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| Simultaneous Transmission | |
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| Summary | |
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| Spread Scattering and Propagation | |
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| Introduction | |
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| The Linear Spreading Models | |
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| Time-Frequency Correlation and Scattering Functions | |
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| The Wideband Model | |
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| Receiver Response | |
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| Total Energy and the Detection Index | |
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| Scattering Function Convolution | |
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| Processing Gain Estimation | |
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| Scattering models; the signal component | |
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| Scattering models: the reverberation component | |
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| Receiver Outputs and G[subscript p] for CW, LFM and Sparse FSK Waveforms | |
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| The Performance of "Thumbtack" Waveforms | |
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| Receiver Optimization | |
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| The Optimal Mismatched Receiver in WGN | |
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| The Composite Cross Ambiguity Function | |
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| Post-Detection Combining | |
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| The Estimator-Correlator (EC) | |
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| Generalized Signal to Interference Ratio | |
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| The EC for Uncorrelated Data | |
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| EC Receiver Operating Characteristics | |
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| EC Mismatch Error | |
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| Diversity Combining | |
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| Frequency diversity code design | |
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| Summary | |
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| The Spatial Representation | |
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| Arrays and Beam Formation | |
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| The Rectangular Aperture | |
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| The Discrete Aperture | |
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| Array Processing | |
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| Continuous Passive Signals | |
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| Active Receiver Implementation and Parameter Estimation | |
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| The CR Bound for Spatial Processing | |
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| Split Processing | |
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| Spatially Spread Scattering | |
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| Monopulse Bearing Estimation | |
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| Amplitude Comparison | |
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| Interference Error | |
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| Phase Comparison | |
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| Spread Scattering Induced Bearing Bias | |
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| Summary | |
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| Symbols | |
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| Glossary | |
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| Index | |