Signals and Systems
Introduction to linear systems: Basic functions, response and properties of linear systems, stability.
Study of continuous time systems: Signal spectrum, Fourier transformations, Laplace transformations, transfer function.
Electronic circuits applications: System response, stability analysis, transient response, frequency response.
Discrete time signals and systems: Classification of discrete-time systems, Analysis of discrete-time linear time-invariant systems, The convolution sum, Discrete time systems described by difference equation, Implementation of discrete-time systems.
The z-Transform and its applications to the analysis of LTI systems: Properties of z-Transform, rational z-Transform, Inversion of z-Transform, Analysis of LTI systems in z-Domain, Stability.
Frequency analysis of discrete-time signals: The Fourier series of discrete-time periodic signals, The Fourier transform of discrete-time aperiodic signals, Properties of Fourier transform. Frequency domain analysis of LTI systems, Frequency response. The Discrete Fourier Transform. Matlab practice.
Design of digital filters: Causality, Design of linear phase FIR filters using windows, Design of IIR filters from analog filters.
- John G. Proakis, Dimitris G. Manolakis, "Digital Signal Processing: Principles, Algorithms and Applications, Fourth edition, Pearson International Edition, 2007."