## Signals and Systems

### Description

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.

### Instructors

### Books

- John G. Proakis, Dimitris G. Manolakis, "
*Digital Signal Processing: Principles, Algorithms and Applications, Fourth edition, Pearson International Edition, 2007."*