Signals and systems are fundamental concepts in the field of electrical engineering and signal processing. They involve the study of how signals are generated, transmitted, processed, and analyzed.

In this course, I had the folowwing topics:

Headlines:

Introduction to Signals and Systems

1. Basic concepts of signals and systems
2. Classification of signals and systems
3. Signal properties and operations
4. System properties and operations
5. Continuous-Time Signals and Systems

Continuous-time signal representation and classification

1. Time-domain analysis of continuous-time systems
2. Fourier series representation of continuous-time signals
3. Fourier transform and frequency-domain analysis of continuous-time signals and systems
4. Discrete-Time Signals and Systems

Discrete-time signal representation and classification

1. Time-domain analysis of discrete-time systems
2. Discrete-time Fourier series representation
3. Discrete-time Fourier transform and frequency-domain analysis
4. Sampling and Reconstruction

Sampling theorem and sampling process

1. Aliasing and anti-aliasing filters
2. Reconstruction of continuous-time signals from samples
3. LTI Systems: Convolution and Impulse Response

Linear time-invariant (LTI) systems

1. Convolution and impulse response of LTI systems
2. System properties and stability
3. Fourier Analysis of Signals and Systems

Fourier transform properties and theorems

1. Frequency response and transfer function of LTI systems
2. Frequency response analysis and Bode plots
3. Laplace Transform and z-Transform

Laplace transform and its application to continuous-time signals and systems

1. z-transform and its application to discrete-time signals and systems
2. Inverse transforms and partial fraction expansion
3. State-Space Analysis

State-space representation of signals and systems

1. State-space equations and their solution
2. State-transition matrix and its properties
3. Discrete-Time System Analysis

Difference equations and their properties

1. Discrete-time system analysis using the z-transform
2. Stability analysis of discrete-time systems
3. Continuous-Time Filters and Discrete-Time Filters

Design and analysis of continuous-time filters

1. Design and analysis of discrete-time filters
2. Feedback Systems and Control

Feedback systems and control concepts

1. Control system design using feedback

These topics provide a comprehensive understanding of signals and systems, covering both continuous-time and discrete-time domains, as well as various analysis and design techniques. Reference