Signals and Systems Primer with MATLAB

Taking a pedagogical approach, the author builds a solid foundation in signal processing as well as analog and digital systems. The book first introduces orthogonal signals, linear and time-invariant continuous-time systems, discrete-type systems and their solution, periodic signals represented by Fourier series, Gibbs's phenomenon, and the sampling theorem. After chapters on various transforms, the book discusses analog filter design, both finite and infinite impulse response digital filters, random digital signal processing, including the nonparametric spectral estimation. The final chapter characterizes different types of filtering and their uses, specifically, the use of Wiener filtering and least mean squares filtering.

Alexander D. Poularikas

Signals and Their Functional Representation. Linear Continuous-Time Systems. Discrete Systems. Periodic Continuous Signals and Their Spectrums. Nonperiodic Signals and Their Fourier Transform. Sampling of Continuous Signals. Discrete-Time Transforms. Laplace Transform. The Z-Transform, Difference Equations, and Discrete Systems. Analog Filter Design. Finite Impulse Response (FIR) Filters. Infinite Impulse Response (IIR) Filters. Random Variables, Sequences, and Power Spectra Densities. Least Square System Design, Wiener Filter, and the LMS Filter. Appendices.