Signals and Systems
Instance: 2018/2019 - 2S
Cycles of Study/Courses
||No. of Students
||study plan from 2017/18
Teaching Staff - Responsibilities
Teaching - Hours
|Theoretical and practical :
Português - Suitable for English-speaking students
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.
Pre-requirements (prior knowledge) and co-requirements (common knowledge)
Differential equations and finite differences.
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.
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.
Distributed evaluation with final exam
Amount of time allocated to each course unit
Eligibility for exams
Conditions for access to assessement: The FCUP regulations will be followed.
Calculation formula of final grade
Assessment formula: The average grade of the tests provides exemption from examination if it is equal to or greater than 9.5 values. If the student in these conditions is for examination the valid note will be the major of the two.
The average grade of the tests gives exemption of exam if it is equal or superior to 9.5 values. If the student in these conditions is for examination the valid note will be the major of the two.