Esta página em português Ajuda Autenticar-se
You are in:: Start > FIS2012
Authentication

Site map
Options

# Signals and Systems

 Code: FIS2012 Acronym: FIS2012

Keywords
Classification Keyword
OFICIAL Physics

## Instance: 2018/2019 - 2S

 Active? Yes Responsible unit: Department of Physics and Astronomy Course/CS Responsible: Master's Degree in Physical Engineering

### Cycles of Study/Courses

Acronym No. of Students Study Plan Curricular Years Credits UCN Credits ECTS Contact hours Total Time
MI:EF 64 study plan from 2017/18 2 - 6 56 162

### Teaching Staff - Responsibilities

Teacher Responsibility
José Manuel Monteiro Moreira

### Teaching - Hours

 Theoretical classes: 2,50 Theoretical and practical : 1,50
Type Teacher Classes Hour
Theoretical classes Totals 1 2,50
José Manuel Monteiro Moreira 2,50
Maria de Fátima Gonçalves da Mota 0,00
Theoretical and practical Totals 2 3,00
José Manuel Monteiro Moreira 3,00

### Teaching language

Português - Suitable for English-speaking students

### Objectives

To know the methodologies and physical / mathematical techniques for the study of signals and important systems in physics and engineering. • Understand the central characteristics of linear and time invariant systems (LTI). • Master the behavior of LTI systems actuated by continuous or discrete signals, including the actual situation where signals are degraded by the presence of noise. • Understand the principles of system control and the techniques used in its study. • Understand the vast domain of application of the principles, methodologies and techniques studied.

We intend to give a clear and modern view of the techniques used in the study of signals and systems. In particular we study the Fourier series, Fourier integrals, FFT and Laplace transforms of continuous and discrete time signals. The concept of transfer function is fundamental and studied in detail as well as the impulse response. Communication systems are also studied.

### Learning outcomes and competences

The student will have finished the course the possibility of studying and characterizing with detail continuous and discrete signals and given a linear system and invariant in time know his answer.

Presencial

### Pre-requirements (prior knowledge) and co-requirements (common knowledge)

Complex analysis.
Integration.
Summaries.
Differential equations and finite differences.

### Program

1. Signals and systems. Continuous and discrete signals. Energy and power. Exponential and sinosoidal signals. Period. The unit impulse and the step of Heaviside. Distributions and their properties. Associations of systems and basic properties. Linear and invariant systems in time LTI).
2. LTI systems. The convolution sum. The convolution integral. Properties. Application examples. Cause and stability.
3. The Fourier series representation of periodic functions.
4.The Fourier transform of continuous functions of time.Properties.Applications.Resolution of differential equations using the Fourier transform.
5. The Fourier transform of discrete time functions, periodic or not.Properties and applications.Resolution of equations to finite differences using this transform.
6. Characterization of signals and systems in time and frequency. Bode diagrams and their applications.
7.Translations of Laplace.Properties and their applications.

### Mandatory literature

Oppenheim Alan V.; Signals and systems. ISBN: 0-13-811175-8
Girod Bernd; Signals and systems. ISBN: 0-471-98800-6

### Teaching methods and learning activities

The usual methodology will be followed. Theoretical and theoretical-practical classes given in the framework or rectro projected.
Type of Assessment: Assessment by 2 frequencies or final exam.

### Evaluation Type

Distributed evaluation with final exam

### Assessment Components

designation Weight (%)
Exame 45,00
Participação presencial 10,00
Teste 45,00
Total: 100,00

### Amount of time allocated to each course unit

designation Time (hours)
Estudo autónomo 100,00
Total: 100,00