Description

Theory
2

Laboratory
2

Instructors

Isabel Martins

Contents

- Representation and characterization of discrete-time signals and systems

- Linear and Time­-Invariant (LTI) systems
The convolution sum.
Systems characterized by linear difference equations. FIR systems. IIR systems.

- The Discrete-Time Fourier Transform (DTFT)

- The z-transform

- Transform analysis of LTI systems
Frequency response and transfer function.
Linear phase systems.

- Structures for the realization of discrete-time systems

- Sampling and reconstruction of continuous-time signals

- The Discrete Fourier Transform (DFT)
Linear filtering using the DFT.
Spectral analysis using the DFT.

- Digital filters design
IIR filters design.
FIR filters design.

Learning Outcomes

This course aims at providing the student the knowledge of analytical tools and techniques needed for the analysis of discrete-time signals and the design and analysis of discrete-time systems, namely, digital filtering.
A student who succeeds in this course will have demonstrated an ability to:
- Characterize discrete-time signals and systems;
- Analyze discrete-time linear and time-invariant (LTI) systems in the discrete-time domain as well as using Fourier methods;
- Understand the definitions and basic properties of Fourier transform and z-transform and know how to apply them;
- Apply the sampling theorem to represent continuous-time signals in discrete-time;
- Understand and know how to use the Discrete Fourier Transform (DFT);
- Design digital filters (IIR and FIR);
- Use professional simulation tools (MATLAB).