Sinais e Sistemas

Derivation and integration rules.

Operations with complex numbers.

In the lectures is performed an oral presentation of mater with the support of slide projection. The theoretical exposure of concepts is complemented for formulating and solving some application exercises. The slides are available to students on the moodle platform. In the classes are solved exercises and matlab aplications are implemented.

To learn and understand basic theory of signals and linear systems wth continuous and discrete time and of using system representations based on the Fourier transforms.

To acquire the ability of analyzing and manipulating signals and linear time- invariant systems in both the time and frequency domains.

Students will learn and understand basis of description and analysis of discrete and continuous -time signals and systems.

1. Signals and Systems
    1.1. Continuous and discrete time signals
    1.2. Basic operations on signals: operations performed the independent variables
    1.3. Continuous and discrete time systems
    1.4. Basic properties of systems: linearity; memory; causality; invertibility; invariance and stability.

2. Linear time-invariant (LTI) systems.
    2.1. Linear time-invariant (LTI) system caracterization by impulse response
    2.2. Convolution and convolution properties.
    2.3. Step response
    2.4. Linear difference equations with constant coefficients

3. Fourier Analysis:
    3.1. Continuous-time and discrete-time Fourier series
    3.2. Properties of continuous-time and discrete-time Fourier series
    3.3. Continuous-time and discrete-time Fourier transform
    3.4. Properties of continuous-time and discrete-time Fourier transform

4. Systems:
    4.1. Laplace transform and applications
    4.2. Transfer Function in open loop and in closed loop
    4.3. Mathematical modeling of dynamic systems (electrical systems)
    4.4. Transient response analysis (1st and 2nd order systems)

Assessment carried out by exam or 2 tests (18 points) and practice (2 points)

Distributed assessment:

The student must have a minimum of 75% attendance in classes (theoretical and practical) to have access to the distributed assessment and a minimum of 7 points (out of 20) in each test.

The 1st frequency will be held in the 9th week of the semester and the 2nd frequency in the last week.

Students who wish to do so may choose to do a project on Fourier Series, being exempt from the assessment of this subject in the 2nd test/exam.

Students without minimums in the 1st frequency will take a normal exam.

Practical Assessment:

In the practical assessment, the work carried out, with the possibility of individual defense, and attendance will be considered.

Assessment moments are without consultation, with a form available and only scientific calculating machines can be used.

NAO