Mechanical Engineering Signals and System- Introduction to signals
- Classification of signals
- Introduction to systems
- Classification of systems
- Linear time-invariant (LTI) systems
- Fourier series in signals and systems
- Fourier transform in signals and systems
- Laplace transform in signals and systems
- Z transform in signals and systems
- Discrete Fourier analysis
Introduction to Signal- Definition of a signal
- Types of signals (continuous-time and discrete-time signals)
- Representation of signals (time-domain and frequency-domain representation)
- Properties of signals (energy and power signals, periodic and aperiodic signals)
Classification of Signals- Continuous-time signals
- Deterministic signals
- Random signals
- Discrete-time signals
- Deterministic signals
- Random signals
- Analog signals
- Digital signals
Systems and its Classification- Definition of a system
- Types of systems
- Continuous-time systems
- Time-invariant systems
- Time-varying systems
- Causal systems
- Non-causal systems
- Stable systems
- Unstable systems
- Discrete-time systems
- Time-invariant systems
- Time-varying systems
- Causal systems
- Non-causal systems
- Stable systems
- Unstable systems
LTI Systems- Definition of linear time-invariant (LTI) systems
- Properties of LTI systems
- Linearity
- Time-invariance
- Causality
- Stability
- Impulse response of LTI systems
- Convolution operation in LTI systems
Fourier Series in Signals and Systems- Introduction to Fourier series
- Representation of periodic signals using Fourier series
- Trigonometric form and exponential form of Fourier series
- Properties of Fourier series
- Calculation of Fourier series coefficients
- Fourier series analysis of signals
Fourier Transform in Signals and Systems- Introduction to Fourier transform
- Fourier transform of continuous-time signals
- Properties of Fourier transform
- Fourier transform pairs
- Fourier transform analysis of signals
- Application of Fourier transform in signal processing
Laplace Transform in Signal and System- Introduction to Laplace transform
- Laplace transform of continuous-time signals
- Properties of Laplace transform
- Laplace transform pairs
- Laplace transform analysis of signals and systems
- Application of Laplace transform in system analysis and control
Z Transform in Signals and System- Introduction to Z transform
- Z transform of discrete-time signals
- Properties of Z transform
- Z transform pairs
- Z transform analysis of discrete-time signals and systems
- Application of Z transform in digital signal processing
Discrete Fourier Analysis- Introduction to discrete Fourier analysis
- Discrete Fourier transform (DFT) and its properties
- Fast Fourier transform (FFT) algorithm
- Application of discrete Fourier analysis in signal processing and spectral analysis
This course is helpful for the following exams: Mechanical Engineering