Signals and Systems

Semester: 1

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

S. Nikolaidis
K. Kordas

Books

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

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