Digital Signal Processing and Analysis

Code:

M3002

Acronym:

M3002

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2019/2020 - 1S

Active?	Yes
Responsible unit:	Department of Mathematics
Course/CS Responsible:	Bachelor in Mathematics

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
L:B	0	Official Study Plan	3	-	6	56	162
L:CC	1	Plano de estudos a partir de 2014	2	-	6	56	162
			3
L:F	0	Official Study Plan	2	-	6	56	162
			3
L:G	0	study plan from 2017/18	2	-	6	56	162
			3
L:M	31	Official Study Plan	2	-	6	56	162
			3
L:Q	0	study plan from 2016/17	3	-	6	56	162
MI:ERS	2	Plano Oficial desde ano letivo 2014	2	-	6	56	162
			3

Teaching language

Suitable for English-speaking students

Objectives

Fundamentals of Signal Processing and Analysis, either in a deterministic or stochastic point of view, with a special emphasis in the frequency domain. Fundamentals of non parametric spectral estimation. The course was designed to provide a comprehension of concepts and methods and its effective use in the analysis of computer simulated and experimental data, using advanced computational tools.

Learning outcomes and competences

The course orientation emphasis is the understanding of the main concepts and methods, together with an effective use of the methods in synthetic and experimental data analysis. At the end of the semester, the students should be familiar with the fundamentals of  Digital Signal Processing, particularly the analysis in the frequency domain, and being able to:
1. Manipulate with ease the fundaments fundamentals of  signals and systems.
2. Know the properties and how to use the various transforms studied.
3. Describe the properties of a signal and a linear system  (in the time and frequency domain).
4. Describe and analyse the effect of sampling a signal, and the consequent implication in what regards real signals.
5. Implement FIR and IIR filters and analyse their effects in a critical way.
6. Use Matlab for the analysis of signals and systems.

Working method

Presencial

Program

1. Introduction to Digital Signal Processing and to the MATLAB software


2. Discrete time signals and systems


3. Fourier Series, Fourier Transform in continuos time and in discrete time


4. Signal and system analysis in the time and frequency domains.


5. Continuous time signals sampling, Discrete Fourier Transform (DFT)


6. Z Transform


7. Digital filters with Finite Impulse Response (FIR) and Infinite Impulse Response (IIR)


8. Spectral Analysis.

Mandatory literature

000091830. ISBN: 007-124467-0
000039783. ISBN: 0-13-373762-4 (hardcover)
000039607. ISBN: 0-13-216771-9

Complementary Bibliography

000039124. ISBN: 0-02-318010-2
000016887

Teaching methods and learning activities

The course includes 3 types of classes: (1) for former presentation of contents, (2) for solving problems and exercices, (3) practical computational classes. Type (3) classes are oriented to the solving of problems and mini-projects on MATLAB software, using real and simulated data.

Software

matlab

keywords

Technological sciences > Technology > Computer technology > Signal processing
Physical sciences > Mathematics > Applied mathematics
Physical sciences > Mathematics > Statistics

Evaluation Type

Distributed evaluation with final exam

Assessment Components

designation	Weight (%)
Exame	60,00
Participação presencial	0,00
Trabalho laboratorial	40,00
Total:	100,00

Amount of time allocated to each course unit

designation	Time (hours)
Estudo autónomo	56,00
Frequência das aulas	56,00
Trabalho laboratorial	50,00
Total:	162,00

Eligibility for exams

The course attendance has a compulsory component of practical assignments / mini-projects, with the submission of the corresponding functions / scripts / reports within the fixed schedules, and with a minimum classification of 8 (in a 0-20 scale). The students may have to perform an oral examination regarding the practical assignments.

Calculation formula of final grade

The final course mark will be based on the practical component (40%) and the final exam (60%), with both having to reach a minimum level of 8 (in a 0-20 scale).

Examinations or Special Assignments

n.a.

Special assessment (TE, DA, ...)

n.a.

Classification improvement

The practical component is not illegible for improvement of classification.

Observations

Course Juri: Prof. André Marçal and Prof. Ana Paula Rocha