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# Signals and Systems - LEB

 Course: Biomedical Engineering Curricular Unit (UC) Signals and Systems Mandatory x Optional Scientific Area ELE Category

Course category: B - Basic; C - Core Engineering; E - Specialization; P - Complementary.

 Year: 2nd Semester: 2nd ECTS: 4.5 Total Hours: 120 Contact Hours T: 22.5 TP: 45 PL: S: OT:2 Professor in charge José Manuel Peixoto do Nascimento

T - Lectures; TP - Theory and practice; PL - Lab Work; S - Seminar; OT - Tutorial Guidance.

• Learning outcomes of the curricular unit

On successful completion of this course, students will be able to:

1. Analyze continuous-time signals in time domain and in frequency domain using Fourier series and Fourier transform.
2. Analyze continuous-time linear time-invariant (LTI) systems and recognize their properties.
3. Use MATLAB to process and represent signals in time and frequency domain.
4. Use MATLAB to represent LTI systems in time domain and to analyze the effects of LTI systems using the frequency domain.
• Syllabus

I. Continuous-time signals and systems introduction

II. Signals classification, Elementary signals, and basic operations on signals

III. Signal spectra: Fourier series and Fourier transforms of continuous-time signals.

IV. Linear and time invariant (LTI) systems

VI. Time and frequency representation for LTI systems.

VII Ideal Filtering, Amplitude and phase distortion

VIII Sampling and Reconstruction of continuous-time signals

• Demonstration of the syllabus coherence with the curricular unit's objectives

This course covers fundamentals of signal and system analysis. Topics include analysis in time and frequency domain of continuous-time signals (Fourier series and transforms), and of linear and time invariant (LTI) systems. MATLAB is used as a tool to study these topics.

• Teaching methodologies

The teaching methodology is developed in several components:

T – 45 theoretical teaching contact hours - Presentation and discussion of theoretical concepts, interactivity and asking questions are encouraged;

PL - 22.5 laboratory practice contact hours: Theoretical concepts are further developed through the implementation of practical examples, performed in groups.

The individual final results are assessed with a final examination given at the end of the semester, with MATLAB-based assignments during the semester

• Demonstration of the coherence between the teaching methodologies and the learning outcomes

In theoretical classes, syllabus content is presented, which match the learning outcomes 1 and 2.

In laboratorial classes, which match the learning outcome 3 and 4, students practice in the MATLAB tool the techniques associated with learning outcomes 1 and 2.

• Main Bibliography:
• Signals & Systems, A. Oppenheim, A. S. Willsky, S. Hamid , Prentice Hall, 1996, ISBN: 978-0138147570
• Signals & Systems, S. Haykin e B. Veen, John Wiley, 2002, ISBN: 978-0471164746
• Teoria do Sinal e suas aplicações F. Grilo, J. Azevedo, J Lopes, A. Casimiro, Escolar Editora, 2010, ISBN: 9789725922620