Fundamentals of Signals and Systems – Theory

Fundamentals of Signals and Systems – Theory.

This course introduces the fundamental principles of signals and system analysis. These concepts form the building blocks of modern digital signal processing, communication, and control systems. Hence, a sound understanding of these principles is necessary for all students of Electronics and Communication Engineering (ECE), Electrical and Electronics Engineering (EEE), and Instrumentation Engineering (IE). The course will cover various basic tools of Signals and Systems analysis such as:

1. Continuous-time signals
2. Continuous-time systems
3. Fourier series of periodic signals
4. Fourier transform of aperiodic signals
5. Fourier transform of periodic signals
6. Basic properties of the Fourier transform
7. Convolution property
8. Multiplication property
9. First-order systems
10. Second-order systems
11. Sampling and reconstruction
12. Communication systems
13. Laplace transform
14. Inverse Laplace transform
15. Properties of the Laplace transform
16. Analysis of LTI systems via Laplace transform

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