Radar System Analysis, Design,and Simulation -- Contents -- Preface -- Acknowledgments -- Introduction -- Chapter 1 Matrix, Vector, and Linear Equations -- 1.1 Introduction -- 1.2 Simultaneous Linear Equation -- 1.2.1 Gaussian Elimination with Backsubstitution -- 1.2.2 Gaussian Elimination with Forward Substitution -- 1.3 Matrix Factorization -- 1.3.1 LU Factorization -- 1.3.2 LLT Factorization (Cholesky) -- 1.3.3 LDLT Factorization (Modified Cholesky) -- 1.3.4 UDUT Factorization -- 1.3.5 QR Factorization -- 1.4 Matrix Inversion -- 1.4.2 Lx-1 -- 1.4.3 U1-1 -- 1.4.4 Ux-1 -- 1.4.5 D-1 -- 1.4.6 Q-1 -- 1.5 Vector Operations -- 1.6 Matrix Operations -- 1.7 Conclusion -- Selected Bibliography -- Chapter 2 Pseudorandom Number, Noise, andClutter Generation -- 2.1 Introduction -- 2.2 Pseudorandom Number and Unit Uniform Variables -- 2.2.1 PRN Generation of an Arbitrary Population -- 2.3 White Gaussian Noise -- 2.4 Rayleigh Noise -- 2.5 Rician Random Variables, Signal-to-Noise Ratio -- 2.6 Chi-Squared Noise -- 2.7 Square-Law Detector -- 2.8 Exponential Noise -- 2.9 Lognormal Clutter -- 2.10 Weibull Clutter -- 2.11 Postulate of Probability Density Function from Sampled Data -- 2.12 Construction of Gaussian (Normal) Probability Paper -- 2.13 Conclusion -- References -- Chapter 3 Filters, FIR, and IIR -- 3.1 Introduction -- 3.2 Finite Impulse Response Filter (FIR) -- 3.2.1 FIR Filters, Lowpass, Highpass, Bandpass, and Bandstop -- 3.2.2 Window Functions: Rectangle, von Hann, Hamming, and Blackman -- 3.3 Infinite Impulse Response Filter (IIR) -- 3.3.1 Bilinear Transform -- 3.3.2 Review of Analog Filters -- 3.3.3 IIR Filter, Butterworth Lowpass -- 3.3.4 IIR Filter, Chebyshev Lowpass -- 3.3.5 IIR Filter, Elliptic Lowpass -- 3.3.6 IIR Filter, Elliptic Bandpass -- 3.3.7 Issue of Nonlinearity -- 3.3.8 Comparison Between FIR and IIR Filters.

3.3.9 Quantized Noise and the Dynamic Range of A/D Converter -- References -- Chapter 4 Fast Fourier Transform (FFT) and IFFT -- 4.1 Introduction -- 4.2 Fast Fourier Transform, Decimation-in-Time and Decimation-in-Frequency -- 4.3 Demonstration of FFT_DIT and FFT_DIF -- 4.4 Spectral Leakage and Window Function -- 4.5 Inverse Fast Fourier Transform, Decimation-in-Time, and Decimation-in-Frequency -- 4.6 Applications of FFT and IFFT -- 4.6.1 Filtering in the Frequency Domain -- 4.6.2 Detection of Signal Buried in Noise -- 4.6.3 Interpolation of Data -- 4.6.4 Pulse Compression -- 4.6.5 Amplitude Unbalance and Phase Mismatch -- Appendix 4A -- References -- Chapter 5 Ambiguity Function -- 5.1 Introduction -- 5.2 Rectangular Pulse with a Single Constant Frequency -- 5.3 Linear Frequency Modulation (LFM) -- 5.4 Costas-Coded Frequency Hopping Modulation -- References -- Selected Bibliography -- Appendix 5A -- Chapter 6 Array Antennas -- 6.1 Introduction -- 6.2 Linear Array -- 6.3 Circular Aperture Array -- 6.4 Elliptical Aperture Array -- 6.5 Monopulse Array Antenna -- 6.6 Conclusion -- References -- Appendix 6A -- Closing Remarks -- Chapter 7 Target Detection -- 7.1 Introduction -- 7.2 Probability of Detection and the False Alarm Probability for Marcum's Target Model -- 7.3 The Probability of Detection, Swerling Target Models -- 7.3.1 Swerling Target Model 1 -- 7.3.2 Swerling Target Model 2 -- 7.3.3 Swerling Target Model 3 -- 7.3.4 Swerling Target Model 4 -- 7.4 Conclusion -- References -- Selected Bibliography -- Chapter 8 Kalman Filter -- 8.1 Introduction -- 8.2 Derivation of Kalman Filter Equations -- 8.3 Passenger Airliner -- 8.4 Air Traffic Control Radar -- 8.5 Air Defense Radar, Cartesian Coordinate System -- 8.6 Air Defense Radar, LOS Coordinates -- 8.7 Kalman Filter without Matrix Inversion -- References -- Selected Bibliography.

Chapter 9 Monte Carlo Method and Function Integration -- 9.1 Introduction -- 9.2 Hit-or-Miss Method -- 9.3 Ordered Sample Method -- 9.4 Sample Mean Method -- 9.5 Importance Sampling Method -- 9.6 Observations and Remarks -- 9.7 Probability of False Alarm, Exponential Probability Density Function -- 9.8 Probability of False Alarm, Gaussian Probability Density Function -- 9.9 Integration of Functions -- 9.9.1 Trapezoidal Rule -- 9.9.2 Simpson's Rule and Extended Simpson's Rule -- 9.9.3 Gaussian Quadrature -- 9.10 Quadrature in Two Dimensions -- 9.11 Quadrature in Three Dimensions -- 9.12 Concluding Remarks -- References -- Appendix 9A -- Chapter 10 Constant False Alarm Rate (CFAR) Processing -- 10.1 Introduction -- 10.2 Cell-Averaged CFAR (CA-CFAR) -- 10.3 Order-Statistics CFAR, OS-CFAR -- 10.4 Weibull Clutter -- 10.4.1 Weibull Probability Density Function -- 10.4.2 Weibull Clutter After a Square-Law Detector -- 10.5 Weber-Haykin CFAR (WH-CFAR) -- 10.6 Maximum Likelihood CFAR (ML-CFAR) -- 10.7 Minimum Mean Square Error CFAR (MMSE-CFAR) -- 10.8 Conclusion -- References -- Selected Bibliography -- Chapter 11 Moving Target Indicator -- 11.1 Introduction -- 11.2 Nonrecursive Delay-Line Canceller -- 11.3 Recursive Delay-Line Canceller -- 11.4 Blind Speeds and Staggered PRFs -- 11.5 Clutter Attenuation and Improvement Factor -- 11.6 Limitations Due to System Instability -- 11.7 A/D Converter Quantization Noise -- 11.8 Clutter Map -- 11.9 Conclusion -- References -- Chapter 12 Miscellaneous Program Routines -- Index.