Subject: Signals and Systems
Scientific area:
Telecommunications
Contact hours:
80 Hours
Number of ECTS:
7,5 ECTS
Language:
Portuguese
General Objectives:
1 - To understand signal processing techniques and know how to apply them in systems analysis.
2 - To understand the main operations on signals and the transforms used for domain conversion.
3 - To understand the signal sampling process and the corresponding calculation procedure.
4 - To understand the fundamentals of filtering systems.
5 - To acquire basic knowledge of Matlab for solving engineering problems related to signal processing.
6 - To develop transferable skills, such as the ability to apply knowledge of mathematics, science and engineering, carry out practical work, and communicate effectively.
2 - To understand the main operations on signals and the transforms used for domain conversion.
3 - To understand the signal sampling process and the corresponding calculation procedure.
4 - To understand the fundamentals of filtering systems.
5 - To acquire basic knowledge of Matlab for solving engineering problems related to signal processing.
6 - To develop transferable skills, such as the ability to apply knowledge of mathematics, science and engineering, carry out practical work, and communicate effectively.
Contents / Syllabus:
1 - Fundamental concepts: characterization and classification of signal; most important signals; graphical analysis of signals; definitions of systems.
2 - Signal-vectors and correlation: identification signal-vector; scalar product of signals; operations on signals; correlation coefficient; correlation function.
3 - Convolução: definição; convolução versus correlação; expressões da convolução; propriedades.
4 - Fourier series: general process of decomposition of signals; exponential Fourier series; trigonometric Fourier series; symmetries of signals; Parseval's theorem.
5 - Fourier transform: direct and inverse transform; properties; Fourier transform for 3 dimensions; Fourier transform of discrete signals; sampling theorem; DFT; Fast Fourier Transform (FFT).
6 - Laplace transform: directe and inverse Laplace transform; convergence region; properties; inversion of Laplace transform; initial and final value theorems; analysis of systems using the Laplace transform; solving differential equations with initial conditions.
7 - Z-transform: direct and inverse Z-transform; region of convergence; properties; calculation of the inverse transform; analysis of systems using the Z-transform; solving difference equations with initial conditions.
8 - Filtering continuous and discrete signals: ideal filters; analog filters; digital filters.
2 - Signal-vectors and correlation: identification signal-vector; scalar product of signals; operations on signals; correlation coefficient; correlation function.
3 - Convolução: definição; convolução versus correlação; expressões da convolução; propriedades.
4 - Fourier series: general process of decomposition of signals; exponential Fourier series; trigonometric Fourier series; symmetries of signals; Parseval's theorem.
5 - Fourier transform: direct and inverse transform; properties; Fourier transform for 3 dimensions; Fourier transform of discrete signals; sampling theorem; DFT; Fast Fourier Transform (FFT).
6 - Laplace transform: directe and inverse Laplace transform; convergence region; properties; inversion of Laplace transform; initial and final value theorems; analysis of systems using the Laplace transform; solving differential equations with initial conditions.
7 - Z-transform: direct and inverse Z-transform; region of convergence; properties; calculation of the inverse transform; analysis of systems using the Z-transform; solving difference equations with initial conditions.
8 - Filtering continuous and discrete signals: ideal filters; analog filters; digital filters.
Bibliography / Information Sources:
F. C. Velez Grilo, António, M. E. S. Casimiro, J. A. C. Lopes e J. A. R. Azevedo , 2010 , Teoria do Sinal e suas aplicações , Escolar Editora
L. D. Paarmann , 2001 , Design and Analysis of Analog Filter: A Signal Processing Perspective , Kluwer Academic Publishers
A. V. Oppenheim e A. S. Willsky , 1997 , Signal and Systems , Prentice Hall International Editions
L. D. Paarmann , 2001 , Design and Analysis of Analog Filter: A Signal Processing Perspective , Kluwer Academic Publishers
A. V. Oppenheim e A. S. Willsky , 1997 , Signal and Systems , Prentice Hall International Editions
Assessment Methods and Criteria:
Classification Type: Quantitativa (0-20)
Evaluation Methodology:
Teaching methodology: - Lectures; - Problem-solving exercises; - Practical assignments. Evaluation: - 3 written tests, each worth 20% of the final grade; - 2 oral assessments, each worth 10% of the final grade; - 2 practical assignments, each worth 10% of the final grade.
Evaluation Methodology:
Teaching methodology: - Lectures; - Problem-solving exercises; - Practical assignments. Evaluation: - 3 written tests, each worth 20% of the final grade; - 2 oral assessments, each worth 10% of the final grade; - 2 practical assignments, each worth 10% of the final grade.