Electrical Engineering (EE) Syllabus:1. Introduction to Signal:- Definition of Signal
- Types of Signals
- Continuous-Time and Discrete-Time Signals
- Analog and Digital Signals
- Basic Operations on Signals
2. Classification of Signals:- Periodic and Aperiodic Signals
- Energy and Power Signals
- Deterministic and Random Signals
- Even and Odd Signals
- Symmetric and Antisymmetric Signals
3. Systems and its Classification:- Definition of System
- Types of Systems
- Linear and Nonlinear Systems
- Time-Invariant and Time-Varying Systems
- Causal and Noncausal Systems
4. LTI Systems:- Definition of LTI System
- Impulse Response and Convolution
- Frequency Response and Transfer Function
- Bode Plots and Stability Analysis
- Fourier Series and Fourier Transform of LTI Systems
5. Fourier Series in Signals and Systems:- Representation of Periodic Signals using Fourier Series
- Properties of Fourier Series
- Application of Fourier Series in Signal Processing
- Fourier Analysis of Signals and LTI Systems
6. Fourier Transform in Signals and System:- Continuous-Time Fourier Transform (CTFT)
- Properties of CTFT
- Inverse CTFT
- Application of CTFT in Signal Processing
- Fourier Transform of LTI Systems
7. Laplace Transform in Signal and System:- Definition of Laplace Transform
- Properties of Laplace Transform
- Inverse Laplace Transform
- Application of Laplace Transform in Signal Processing
- Laplace Transform of LTI Systems
8. Z Transform in Signals and System:- Definition of Z Transform
- Properties of Z Transform
- Inverse Z Transform
- Application of Z Transform in Signal Processing
- Z Transform of LTI Systems
9. Discrete Fourier Analysis:- Discrete-Time Fourier Transform (DTFT)
- Properties of DTFT
- Inverse DTFT
- Application of DTFT in Signal Processing
- Discrete Fourier Transform (DFT) and its Properties
This syllabus covers the fundamental concepts of Signals and Systems in Electrical Engineering. It includes the classification of signals, systems, and its properties. The syllabus also covers LTI Systems, Fourier Series, Fourier Transform, Laplace Transform, Z Transform, and Discrete Fourier Analysis. These concepts are essential for understanding the advanced topics in Signal Processing, Communication Systems, and Control Systems.
This course is helpful for the following exams: Electrical Engineering (EE), Electronics and Communication Engineering (ECE), Mechanical Engineering