Chapter 1 Signals and Systems - Refresher 1.1 Signal Classification 1.2 Signal Expansion Functions 1.2.1 Fourier Series Expansion 1.2.2 Properties of the Fourier Series 1.3 Fourier Transform 1.3.1 Fourier Transform Pairs and Properties Tables 1.4 Systems Classification 1.4.1 Linear and Nonlinear Systems 1.4.2 Time Invariant and Time Varying Systems 1.4.3 Stable and Nonstable Systems 1.4.4 Causal and Noncausal Systems 1.5 Spectra of Common Radar Signals 1.5.1 Continuous Wave Signal 1.5.2 Finite Duration Pulse Signal 1.5.3 Periodic Pulse Signal 1.5.4 Finite Duration Pulse Train Signal 1.6 Convolution Integral 1.7 Correlation 1.7.1 Correlation Coefficient 1.7.2 Correlation Integral - Energy Signals 1.7.3 Relationship between Convolution and Correlation Integrals 1.7.4 Effect of Time Translation on the Correlation Function 1.7.5 Correlation Function Properties 1.7.6 Correlation Integral - Power Signals 1.7.7 Energy and Power Spectrum Densities 1.7.8 Correlation F