Signals and Systems

Code:

EIC0017

Acronym:

SSIS

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2007/2008 - 1S

Active?	Yes
Web Page:	www.fe.up.pt/~mines/SS/
Responsible unit:	Fundamental Sciences and Electrotechnics
Course/CS Responsible:	Master in Informatics and Computing Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
LEIC	0	Plano de estudos de transição para 2006/07	2	6	6	-
MIEIC	160	Syllabus since 2006/2007	2	-	6	-

Teaching language

Portuguese

Objectives

Acquisition of fundamental concepts to characterize and process discrete and continuous signals. The capacity to analyze invariable linear systems using time analysis and Fourier’s methods. The understanding of processes and methods on filtering systems and samplings of signals.

Program

Signals and systems, continuous and discrete. Linear systems, invariant. Systems description and analysis using convolution. Fourier’s analysis for continuous and discrete signals. Introduction to discrete and continuous signals’ filtering. Sampling of continuous signals.

1. Signals and systems, continuous and discrete.
1.1Basic continuous and discrete signals.
1.2 Systems and their properties (with or without memory, invertibility, causality, stability, time invariance, linearity).
2. Linear and invariable systems.
2.1 Signals’ representation by impulse.
2.2 Linear and invariable systems; Convolution sum and integral.
2.3 Systems described by differential equations and equations to differences.
3. Fourier’s signals and systems analysis.
3.1 Continuous signals and systems.
3.1.1 Invariable linear systems’ answer to complex exponentials.
3.1.2 Representation and approach to periodic signals through Fourier series.
3.1.3. Representation of periodic signals through Fourier transform.
3.1.4 Frequency response of 1st and 2nd order systems, characterized by linear differential equations of constant coefficients.
3.2 Discrete signals and systems.
3.2.1. Invariable linear systems’ response to complex exponentials.
3.2.2. Periodic signals representation through Fourier discrete series.
3.2.3. Periodic signals representation through Fourier discrete transform.
3.2.4. Frequency response of 1st and 2nd order systems, characterized by linear differential equations of constant coefficients.
4. Discrete and continuous signals’ filtering.
4.1 Notion of frequency selective filters, ideal and non-ideal.
4.2. Examples of frequency selective filters described by differential equations.
4.3. Examples of frequency selective filters described by differential equations.
5. Sampling of continuous signals.
5.1. Notion of a continuous signal representation and sampling through its samples.
5.2. Reconstruction through interpolation. Sub-sampling effects.
5.3. Discrete processing of continuous signals.

Mandatory literature

Oppenheim, Alan V.; Signals & systems. ISBN: 0-13-651175-9

Complementary Bibliography

Buck, John R.; Computer explorations in signals and systems. ISBN: 0-13-732868-0
Lindner, Douglas K; Introduction to signals and systems. ISBN: 0-07-116489-8
Lourtie, Isabel M. G.; Sinais e sistemas. ISBN: 972-592-130-5

Teaching methods and learning activities

Theoretical classes:
Exposition of the contents, illustration of methods through exercise solving and concrete cases’ analysis.
Theoretical-practical classes:
Homework proposal and discussion, problem solving in class, answer to micro-tests.

Out of classes:
Study of the course contents, resolution of the problems proposed (in a conventional way or using MatLab, available in the FEUP network). We estimate that to be successful, a reasonable student needs to spend 2 hours and 30 minutes per week studying the contents and their application to problem solving.

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Subject Classes	Participação presencial	56,00
Final exam	Exame	3,00		2008-02-15
	Total:	-	0,00

Amount of time allocated to each course unit

Description	Type	Time (hours)	End date
Study during the semester	Estudo autónomo	60	2008-01-04
Study for final exam	Estudo autónomo	15	2008-02-14
	Total:	75,00

Eligibility for exams

There are two evaluation components:
• Distributed Evaluation, done in theoretical-practical classes by the respective teacher (including participation and performance in classes, as well as the micro-tests’ results done in class).
• Written Exam (written test, without consultation, lasting no more than 2 hours and 30 minutes).
To be approved, the student must have a minimum of 30% in each of the two components.
If the absence limit is exceeded or if the minimum of 30% in the distributed evaluation is not achieved, the student does not attain frequency, not having access to the exam in any of the examination periods.

Calculation formula of final grade

For the ordinary evaluation students with access to the exam, the final classification is obtained with the weighed classification average in distributed evaluation (30% - max. 6 marks) and in the exam (70% - max. 14 marks). This method is followed in the exams of the regular and re-sit periods; in the classification improvement tests, the grade obtained is just the exam one, nevertheless it will have the same format as the special evaluation students’ exam (see the following item).
The distributed evaluation will be based on the classification obtained in the 10minute (approximately) surprise short tests, which are done from number 6 to 8 in theoretical-practical classes without consultation. This evaluation will then be adjusted by the evaluation of the participation level and the quality of the student’s performance in class.
The micro-tests are problems similar to the ones previously proposed for homework, discussed and analyzed in theoretical-practical classes, yet we will be counting the final answers and not the solving process. To reach the final grade, we exclude the classification of the 2 micro-tests which correspond to the student’s absences or to his worse results.

Examinations or Special Assignments

see "Special Evaluation"

Special assessment (TE, DA, ...)

The students allowed to do the exam for being dismissed from frequency (under the items a), b) and c), Article 4, General evaluation Rules 2002) will do special written exams, lasting no more than 3 hours, in any of the examination periods. Exams with similar duration will be done by the students allowed to do classification improvement.
The tests to be done by the special evaluation students (item 5, Article 6, General Evaluation Rules 2002) might have an oral part, in which case the students will be warned on time.

Classification improvement

see "Special Evaluation"

Observations

1. The students dismissed from frequency for having attained it in the previous academic year will loose that advantage if they are officially enrolled in a practical class, where they will have to obey all the requirements to attain frequency. To avoid loosing the frequency, the students must not be formally enrolled in any class and must not do the micro-tests.
2. To obtain a grade superior to 18 marks in the final classification (19 or 20) the student will have to do an oral test after the end of the re-sit period. The students allowed to do these oral tests will have their names properly highlighted in the classification sheets posted after the written exams.

Office hours
Armando Jorge Padilha (Building I, Office I-309) Wednesdays, 11.00 - 12.30; Fridays, 08.30 -10.00
Maria Inês Carvalho (Building I, Office I-313)
Thursdays, 09.30 - 10.30; 11.30 -12.30