RADAR SIGNALS -- CONTENTS -- Preface -- 1 Introduction -- 1.1 Basic Relationships: Range-Delay and Velocity-Doppler -- BOX 1A: Doppler Effect -- 1.2 Accuracy, Resolution, and Ambiguity -- 1.3 Environmental Diagram -- 1.4 Other Trade-Offs and Penalties in Waveform Design -- 1.5 Concluding Comments -- Problems -- References -- 2 Matched Filter -- 2.1 Complex Representation of Bandpass Signals -- Box 2A: I and Q Components of Narrow Bandpass Signal -- 2.2 Matched Filter -- Box 2B: Filter Matched to a Baseband Rectangular Pulse -- 2.3 Matched Filter for a Narrow Bandpass Signal -- 2.4 Matched-Filter Response to Its Doppler-Shifted Signal -- Problems -- References -- 3 Ambiguity Function -- 3.1 Main Properties of the Ambiguity Function -- 3.2 Proofs of the AF Properties -- 3.3 Interpretation of Property 4 -- 3.4 Cuts Through the Ambiguity Function -- 3.5 Additional Volume Distribution Relationships -- 3.6 Periodic Ambiguity Function -- Box 3A: Variants of the Periodic Ambiguity Function -- 3.7 Discussion -- Appendix 3A: MATLAB Code for Plotting Ambiguity Functions -- Problems -- References -- 4 Basic Radar Signals -- 4.1 Constant-Frequency Pulse -- 4.2 Linear Frequency-Modulated Pulse -- 4.2.1 Range Sidelobe Reduction -- 4.2.2 Mismatch Loss -- 4.3 Coherent Train of Identical Unmodulated Pulses -- Problems -- References -- 5 Frequency-Modulated Pulse -- 5.1 Costas Frequency Coding -- 5.1.1 Costas Signal Definition and Ambiguity Function -- 5.1.2 On the Number of Costas Arrays and Their Construction -- 5.1.3 Longer Costas Signals -- 5.2 Nonlinear Frequency Modulation -- Appendix 5A: MATLAB Code for Welch Construction of Costas Arrays -- Problems -- References -- 6 Phase-Coded Pulse -- Box 6A: Aperiodic Correlation Function of a Phase-Coded Pulse -- Box 6B: Properties of the Cross-Correlation Function of a Phase Code -- 6.1 Barker Codes.

6.1.1 Minimum Peak Sidelobe Codes -- 6.1.2 Nested Codes -- 6.1.3 Polyphase Barker Codes -- 6.2 Chirplike Phase Codes -- 6.2.1 Frank Code -- Box 6C: Perfectness of the Frank Code -- 6.2.2 P1, P2, and Px Codes -- 6.2.3 Zadoff-Chu Code -- Box 6D: Perfectness of the Zadoff-Chu Code -- Box 6E: Rotational Invariance of the Zadoff-Chu Code Aperiodic ACF Magnitude -- 6.2.4 P3, P4, and Golomb Polyphase Codes -- 6.2.5 Phase Codes Based on a Nonlinear FM Pulse -- 6.3 Asymptotically Perfect Codes -- 6.4 Golomb's Codes with Ideal Periodic Correlation -- Box 6F: Deriving the Perfect Golomb Biphase Code -- Box 6G: Deriving the Golomb Two-Valued Code with Ideal Periodic Cross-Correlation -- 6.5 Ipatov Code -- 6.6 Optimal Filters for Sidelobe Suppression -- 6.7 Huffman Code -- 6.8 Bandwidth Considerations in Phase-Coded Signals -- 6.9 Concluding Comments -- Appendix 6A: Galois Fields -- Appendix 6B: Quadriphase Barker 13 -- Appendix 6C: Gaussian-Windowed Sinc -- Problems -- References -- 7 Coherent Train of LFM Pulses -- 7.1 Coherent Train of Identical LFM Pulses -- 7.2 Filters Matched to Higher Doppler Shifts -- 7.3 Interpulse Weighting -- 7.4 Intra- and Interpulse Weighting -- 7.5 Analytic Expressions of the Delay-Doppler Response of an LFM Pulse Train with Intra- and Interpulse Weighting -- 7.5.1 Ambiguity Function of N LFM Pulses -- 7.5.2 Delay-Doppler Response of a Mismatched Receiver -- 7.5.3 Adding Intrapulse Weighting -- 7.5.4 Examples -- Problems -- References -- 8 Diverse PRI Pulse Trains -- 8.1 Introduction to MTI Radar -- 8.1.1 Single Canceler -- 8.1.2 Double Canceler -- 8.2 Blind Speed and Staggered PRF for an MTI Radar -- 8.2.1 Staggered-PRF Concept -- 8.2.2 Actual Frequency Response of Staggered-PRF MTI Radar -- 8.2.3 MTI Radar Performance Analysis -- Box 8A: Improvement Factor Introduced through the Autocorrelation Function.

Box 8B: Optimal MTI Weights -- 8.3 Diversifying the PRI on a Dwell-to-Dwell Basis -- 8.3.1 Single-PRF Pulse Train Blind Zones and Ambiguities -- 8.3.2 Solving Range-Doppler Ambiguities -- 8.3.3 Selection of Medium-PRF Sets -- Box 8C: Binary Integration -- Problems -- References -- 9 Coherent Train of Diverse Pulses -- 9.1 Diversity for Recurrent Lobes Reduction -- 9.2 Diversity for Bandwidth Increase: Stepped Frequency -- 9.2.1 Ambiguity Function of a Stepped-Frequency Train of LFM Pulses -- 9.2.2 Stepped-Frequency Train of Unmodulated Pulses -- 9.2.3 Stretch-Processing a Stepped-Frequency Train of Unmodulated Pulses -- 9.2.4 Stepped-Frequency Train of LFM Pulses -- 9.3 Train of Complementary Pulses -- Box 9A: Operations That Yield Equivalent Complementary Sets -- 9.3.1 Generating Complementary Sets Using Recursion -- 9.3.2 Complementary Sets Generated Using the PONS Construction -- 9.3.3 Complementary Sets Based on an Orthogonal Matrix -- 9.4 Train of Subcomplementary Pulses -- 9.5 Train of Orthogonal Pulses -- Box 9B: Autocorrelation Function of Orthogonal-Coded Pulse Trains -- 9.5.1 Orthogonal-Coded LFM Pulse Train -- 9.5.2 Orthogonal-Coded LFM-LFM Pulse Train -- 9.5.3 Orthogonal-Coded LFM-NLFM Pulse Train -- 9.5.4 Frequency Spectra of Orthogonal-Coded Pulse Trains -- Appendix 9A: Generating a Numerical Stepped-Frequency Train of LFM Pulses -- Problems -- References -- 10 Continuous-Wave Signals -- 10.1 Revisiting the Periodic Ambiguity Function -- 10.2 PAF of Ideal Phase-Coded Signals -- 10.3 Doppler Sidelobe Reduction Using Weight Windows -- 10.4 Creating a Shifted Response in Doppler and Delay -- 10.5 Frequency-Modulated CW Signals -- 10.5.1 Sawtooth Modulation -- 10.5.2 Sinusoidal Modulation -- 10.5.3 Triangular Modulation -- 10.6 Mixer Implementation of an FM CW Radar Receiver -- Appendix 10A: Test for Ideal PACF -- Problems -- References.

11 Multicarrier Phase-Coded Signals -- Box 11A: Orthogonal Frequency-Division Multiplexing -- 11.1 Multicarrier Phase-Coded Signals with Low PMEPR -- 11.1.1 PMEPR of an IS MCPC Signal -- Box 11B: Closed-Form Multicarrier Bit Phasing with Low PMEPR -- 11.1.2 PMEPR of an MCPC Signal Based on COCS of a CLS -- 11.2 Single MCPC Pulse -- 11.2.1 Identical Sequence -- 11.2.2 MCPC Pulse Based on COCS of a CLS -- 11.3 CW (Periodic) Multicarrier Signal -- 11.4 Train of Diverse Multicarrier Pulses -- 11.4.1 ICS MCPC Diverse Pulse Train -- 11.4.2 COCS of a CLS MCPC Diverse Pulse Train -- 11.4.3 MOCS MCPC Pulse Train -- 11.4.4 Frequency Spectra of MCPC Diverse Pulse Trains -- 11.5 Summary -- Problems -- References -- Appendix: Advanced MATLAB Programs -- A.1 Ambiguity Function Plot with a GUI -- A.2 Creating Complex Signals for Use with ambfn1.m or ambfn7.m -- A.3 Cross-Ambiguity Function Plot -- A.4 Generating a CW Periodic Signal with Weighting on Receive -- Index.