Signals and Systems: Models and Behaviour

Part 1 Introduction to signals and systems: signal classification signal processing systems linearity and time-invariance signal types and definitions signal symmetry and orthogonality signal sampling. Part 2 Time-domain models: discrete-time systems unit-sample response and convolution convolution for continuous systems. Part 3 Frequency-domain models: the frequency-domain approach the Fourier transform Fourier transforms of signals input-output relationships symmetry properties the inverse Fourier transform. Part 4 Laplace transforms: the Laplace integral Laplace model of signals properties of Laplace transforms the system transform function pole-zero models. Part 5 Z-transforms: the Z-transform the transfer function system response pole-zero models frequency response of a discrete-time system. Chapter 6 Periodic signals: strictly periodic signals the Fourier exponential series Fourier series and the Fourier integral input-output relationships band limited signals. Part 7 Fourier analysis of discrete-time signals and systems: the Laplace and Z-transforms the Fourier transform and the DTFT further properties of the DTFT signal sampling and aliasing frequency resolution the discrete Fourier transform. Appendices: A short table of Laplace transform pairs some Laplace transform properties some Z-transform pairs.