Data Analysis and Transformation

Recommended Prerequisites

Calculus I and II

Teaching Methods

The teaching methodology consists of theoretical-practical classes where the main concepts, principles and fundamental theories regarding signal processing are taught, and laboratory classes where the concepts are experimented with computational assignments.

Learning Outcomes

To provide students with the main concepts and principles of discrete-time signals. To understand the representation of discrete signals in the frequency domain. To understand the relationship between continuous-time signals and their representation in discrete-time by performing sampling. Caracterize signals and systems in terms of z-transform. To learn the main techniques of digital filters projects, IIR and FIR and use them in lab experiments with ID signals.

Work Placement(s)

No

Syllabus

1. Discrete time complex Fourier series of periodic signals
2. Discrete time Fourier transform (DTFT)
3. Discrete Fourier transform (DFT)
4. Sampling of continuous-time signals
5. Sampling of sequences - decimation, expansion and interpolation
6. Z-transform for discrete-time signals and systems
7. Design of discrete-time filters - IIR and FIR

Head Lecturer(s)

Fernando Manuel dos Santos Perdigão

Assessment Methods

Assessment
Exam: 30.0%
Frequency: 30.0%
Laboratory work or Field work: 40.0%

Bibliography

Alan Oppenheim, Allan Willsky, Signal and Systems, Prentice Hall, 2nd edition, 1997.
Alan Oppenheim, Ronald Schafer, Discrete-time Signal Processing, Prentice Hall, 3rd edition, 2010.