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Preface | |
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Introduction | |
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Basic Relationships: Range-Delay and Velocity-Doppler | |
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Doppler Effect | |
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Accuracy, Resolution, and Ambiguity | |
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Environmental Diagram | |
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Other Trade-Offs and Penalties in Waveform Design | |
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Concluding Comments | |
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Problems | |
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References | |
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Matched Filter | |
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Complex Representation of Bandpass Signals | |
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I and Q Components of Narrow Bandpass Signal | |
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Matched Filter | |
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Filter Matched to a Baseband Rectangular Pulse | |
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Matched Filter for a Narrow Bandpass Signal | |
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Matched-Filter Response to Its Doppler-Shifted Signal | |
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Problems | |
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References | |
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Ambiguity Function | |
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Main Properties of the Ambiguity Function | |
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Proofs of the AF Properties | |
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Interpretation of Property 4 | |
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Cuts Through the Ambiguity Function | |
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Additional Volume Distribution Relationships | |
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Periodic Ambiguity Function | |
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Variants of the Periodic Ambiguity Function | |
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Discussion | |
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MATLAB Code for Plotting Ambiguity Functions | |
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Problems | |
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References | |
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Basic Radar Signals | |
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Constant-Frequency Pulse | |
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Linear Frequency-Modulated Pulse | |
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Range Sidelobe Reduction | |
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Mismatch Loss | |
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Coherent Train of Identical Unmodulated Pulses | |
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Problems | |
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References | |
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Frequency-Modulated Pulse | |
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Costas Frequency Coding | |
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Costas Signal Definition and Ambiguity Function | |
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On the Number of Costas Arrays and Their Construction | |
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Longer Costas Signals | |
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Nonlinear Frequency Modulation | |
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MATLAB Code for Welch Construction of Costas Arrays | |
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Problems | |
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References | |
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Phase-Coded Pulse | |
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Aperiodic Correlation Function of a Phase-Coded Pulse | |
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Properties of the Cross-Correlation Function of a Phase Code | |
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Barker Codes | |
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Minimum Peak Sidelobe Codes | |
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Nested Codes | |
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Polyphase Barker Codes | |
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Chirplike Phase Codes | |
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Frank Code | |
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Perfectness of the Frank Code | |
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P1, P2, and Px Codes | |
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Zadoff-Chu Code | |
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Perfectness of the Zadoff-Chu Code | |
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Rotational Invariance of the Zadoff-Chu Code Aperiodic ACF Magnitude | |
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P3, P4, and Golomb Polyphase Codes | |
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Phase Codes Based on a Nonlinear FM Pulse | |
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Asymptotically Perfect Codes | |
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Golomb's Codes with Ideal Periodic Correlation | |
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Deriving the Perfect Golomb Biphase Code | |
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Deriving the Golomb Two-Valued Code with Ideal Periodic Cross-Correlation | |
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Ipatov Code | |
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Optimal Filters for Sidelobe Suppression | |
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Huffman Code | |
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Bandwidth Considerations in Phase-Coded Signals | |
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Concluding Comments | |
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Galois Fields | |
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Quadriphase Barker 13 | |
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Gaussian-Windowed Sinc | |
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Problems | |
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References | |
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Coherent Train of LFM Pulses | |
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Coherent Train of Identical LFM Pulses | |
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Filters Matched to Higher Doppler Shifts | |
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Interpulse Weighting | |
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Intra- and Interpulse Weighting | |
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Analytic Expressions of the Delay-Doppler Response of an LFM Pulse Train with Intra- and Interpulse Weighting | |
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Ambiguity Function of N LFM Pulses | |
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Delay-Doppler Response of a Mismatched Receiver | |
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Adding Intrapulse Weighting | |
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Examples | |
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Problems | |
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References | |
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Diverse PRI Pulse Trains | |
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Introduction to MTI Radar | |
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Single Canceler | |
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Double Canceler | |
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Blind Speed and Staggered PRF for an MTI Radar | |
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Staggered-PRF Concept | |
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Actual Frequency Response of Staggered-PRF MTI Radar | |
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MTI Radar Performance Analysis | |
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Improvement Factor Introduced through the Autocorrelation Function | |
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Optimal MTI Weights | |
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Diversifying the PRI on a Dwell-to-Dwell Basis | |
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Single-PRF Pulse Train Blind Zones and Ambiguities | |
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Solving Range-Doppler Ambiguities | |
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Selection of Medium-PRF Sets | |
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Binary Integration | |
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Problems | |
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References | |
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Coherent Train of Diverse Pulses | |
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Diversity for Recurrent Lobes Reduction | |
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Diversity for Bandwidth Increase: Stepped Frequency | |
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Ambiguity Function of a Stepped-Frequency Train of LFM Pulses | |
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Stepped-Frequency Train of Unmodulated Pulses | |
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Stretch-Processing a Stepped-Frequency Train of Unmodulated Pulses | |
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Stepped-Frequency Train of LFM Pulses | |
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Train of Complementary Pulses | |
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Operations That Yield Equivalent Complementary Sets | |
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Generating Complementary Sets Using Recursion | |
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Complementary Sets Generated Using the PONS Construction | |
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Complementary Sets Based on an Orthogonal Matrix | |
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Train of Subcomplementary Pulses | |
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Train of Orthogonal Pulses | |
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Autocorrelation Function of Orthogonal-Coded Pulse Trains | |
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Orthogonal-Coded LFM Pulse Train | |
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Orthogonal-Coded LFM-LFM Pulse Train | |
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Orthogonal-Coded LFM-NLFM Pulse Train | |
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Frequency Spectra of Orthogonal-Coded Pulse Trains | |
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Generating a Numerical Stepped-Frequency Train of LFM Pulses | |
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Problems | |
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References | |
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Continuous-Wave Signals | |
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Revisiting the Periodic Ambiguity Function | |
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PAF of Ideal Phase-Coded Signals | |
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Doppler Sidelobe Reduction Using Weight Windows | |
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Creating a Shifted Response in Doppler and Delay | |
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Frequency-Modulated CW Signals | |
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Sawtooth Modulation | |
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Sinusoidal Modulation | |
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Triangular Modulation | |
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Mixer Implementation of an FM CW Radar Receiver | |
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Test for Ideal PACF | |
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Problems | |
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References | |
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Multicarrier Phase-Coded Signals | |
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Orthogonal Frequency-Division Multiplexing | |
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Multicarrier Phase-Coded Signals with Low PMEPR | |
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PMEPR of an IS MCPC Signal | |
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Closed-Form Multicarrier Bit Phasing with Low PMEPR | |
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PMEPR of an MCPC Signal Based on COCS of a CLS | |
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Single MCPC Pulse | |
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Identical Sequence | |
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MCPC Pulse Based on COCS of a CLS | |
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CW (Periodic) Multicarrier Signal | |
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Train of Diverse Multicarrier Pulses | |
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ICS MCPC Diverse Pulse Train | |
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COCS of a CLS MCPC Diverse Pulse Train | |
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MOCS MCPC Pulse Train | |
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Frequency Spectra of MCPC Diverse Pulse Trains | |
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Summary | |
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Problems | |
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References | |
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Advanced MATLAB Programs | |
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Ambiguity Function Plot with a GUI | |
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Creating Complex Signals for Use with ambfn1.m or ambfn7.m | |
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Cross-Ambiguity Function Plot | |
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Generating a CW Periodic Signal with Weighting on Receive | |
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Index | |