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Signal and systems analysis

Course Description: Introduction including: continuous-time and discrete-time signals and systems, and analog-to-digital and digital-to-analog conversion. **Continuous Signals** include: linear time-invariant (LTI) systems and their properties, Fourier series, Fourier Transform (FT) and Inverse Fourier Transform (IFT) and their properties, as well as Convolution and Correlation theorems. **Discrete Signals** include: linear shift-invariant (LSI) systems and their properties, Discrete Fourier Transform (DFT) and Inverse Discrete Fourier Transform (IDFT) and their properties, Z-transform and its inverse and their properties, Mapping Theory, Fast Fourier Transform (FFT), and Parseval Theory. **Sampling Theory** includes: Nyquist sampling criterion, Aliasing, and signal reconstruction. **Signal Processing Fundamentals** include: types of filters such as Low-Pass Filter (LPF), High-Pass Filter (HPF), Band-Pass Filter (BPF), and Stop-Band Filter (SBF).
Credit hours: 3
Prerequisites: EE 202
Objectives of the course :

The main goal of this course is to teach students the skills that enable them to analyze continuous-time and discrete-time signals and systems. Specifically, the course aims to:

Teaching students the mathematical representation of signals and systems.
* Teach students the basic and important transformations of signals.
Educating students on the fundamental characteristics of systems, with a focus on linear time-invariant (LTI) systems.
Enable students to analyze the behavior of LTI systems in detail using the properties of linearity and time-invariance.
Provide students with additional concepts and methods that enhance their understanding of signals and systems, and increase their ability to design and solve problems related to signals and systems in a wide range of applications.

Course outputs :

Recognize the representation of signals and systems in the time and frequency domains.
* Application of Fourier, Laplace, and Z transforms to determine the time-domain or transform-domain expression of signals.
Applying sampling theory to determine the sampling interval and/or sampling frequency.
* Evaluation of Linear Time-Invariant (LTI) and Linear Shift-Invariant (LSI) systems in the time and frequency domains.
Using MATLAB to calculate, plot, and analyze signals in the time and frequency domains.

Additional information:
  • Last update: 2026-05-18

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