General description
This course aims to introduce the basic concepts and techniques used in signal processing domain which plays an important role in a wide variety of engineering systems. Mainly, we focus on the study of Linear Time-Invariant systems (LTI) in the continuous-time domain as well as in the discrete-time domain. Moreover, we explain the transition between the continuous-time domain and the discrete-time domain through the sampling theory. We introduce the basic tools used in signal processing such as Fourier Transform, Laplace Transform, and Z-Transform. Although these tools have mathematical nature, however, we are more concerned about physical interpretation of results obtained by using these tools.
Intended Learning Outcomes :
- Understand the representation of signals and systems and their classifications.
- Describe the linear time-invariant systems and their properties and the input-output relation.
- Apply Fourier Transform for continuous signals and its properties.
- Apply Laplace transform and its use in the study of continuous LTI systems.
- Describe frequency response of continuous LTI systems using Bode Diagrams.
- Understand the concepts of Sampling and related theorem, and continuous signal recovery from sampled signal.
- Describe discrete-time signals and systems and the input-output relation.
- Identify Fourier Transform for discrete and its relation to continuous Fourier Transform.
- Identify Z-Transform and its properties.
- Apply Z-Transform for discrete time LTI systems.
- Understand the Discrete Fourier Transform and its relation to Fourier Transform of discrete signals.
- Describe some practical filters using Fourier and Laplace Transforms.