Signals and Systems

Code:

F206

Acronym:

F206

Keywords
Classification	Keyword
OFICIAL	Physics

Instance: 2015/2016 - 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	29	Plano de Estudos a partir de 2007	2	-	5	-

Teaching language

Suitable for English-speaking students

Objectives

• To know the methods and physical / mathematical techniques to study the properties of signals and important systems in physics and engineering .
• To understand the key characteristics of linear and time invariant systems (LTI).
• To master the behavior of LTI systems actuated by continuous or discrete signals, including the real situation in which the signals are degraded by the presence of noise.
• Understand the basic principles of control systems and the techniques and procedures used for their study.
• Understand the wide field of application of principles, methodologies and techniques studied.


We intend in this course to give a clear, modern vision of the techniques used in the study of signals and particular systems.We study Fourier series, integral Fourier Transform,FFT and Laplace transform of continuous and discret signals of time.The concept of transfer function is critical and studied in detail as well as the impulsional response of LTI systems. Communication systems are also studied .

Learning outcomes and competences

Finished the course the student will be able to study and characterize in detail continuous and discret signals and given a linear and time invariant system to know the output to that signal.

Working method

Presencial

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

Complex analysis.
Integration.
Sums.
Differential and finite difference equations.

Program

1.Signals and systems.Continuous and discret signals.Energy and power.Exponencial and sinosoidal signals.Period.The unit impulse and the Heaviside function.Distributions and their properties.Association of systems and basic properties.Linear and time invariant systems(LTI).
2.LTI systems.The convolution sum.The convolution integral.Properties.Examples of application.Causality and stability.
3.The representation in a Fourier series of periodic functions.
4.The Fourier transform of continuous functions of time.Properties.Aplications.Resolution of differential equations using the Fourier Transform.
5.The Fourier transform of discret functions of the time,periodic or non-periodic.Properties and applications.Resolution of finite difference equations using this transform.
6.Characterization of signals and systems on time and frequency.Bode diagrams and their applications.
7.Laplace transforms.Properties and 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

It will be followed the usual methodology.

Type of evaluation: Evaluation by 2 frequencies or final examination

Evaluation Type

Distributed evaluation with final exam

Assessment Components

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

Eligibility for exams

Terms of frequency: We follow the rules of the FCUP.

Calculation formula of final grade

Formula Evaluation: The media of the marks of the frequencies  provides exemption from examination if it is equal ou superior to 9.5/20. If the student in these circumstances is present at final examination the final mark is the majorant of the two.

Classification improvement

The media of the marks of the frequencies  provides exemption from examination if it is equal ou superior to 9.5/20. If the student in these circumstances is present at final examination the final mark is the majorant of the two.