Standard syllabus
Signals & systems · Undergraduate · Engineering
Topics
Continuous-time signals and systems
- Signal classifications: energy, power, periodic, aperiodic
- Elementary signals: unit step, impulse, exponentials, sinusoids
- System properties: linearity, time-invariance, causality, stability
- Convolution integral for LTI systems
- Impulse response and frequency response relationships
- Fourier series for periodic signals
- Continuous-time Fourier transform pairs and properties
- Frequency spectrum interpretation and filtering concepts
- Laplace transform definition and region of convergence
- Transfer functions and pole-zero plots from Laplace domain
Discrete-time and sampling
- Sampling theorem and aliasing
- Discrete-time signals and sequences
- Linear convolution for discrete systems
- Z-transform and its properties
- Difference equations and digital filters
- FIR and IIR filter structures
- DFT and FFT for spectral analysis
- Relationship between Laplace, Fourier, and Z-transforms
- Reconstruction with ideal and practical hold circuits
- Stability and ROC for discrete-time systems
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