Signals and Systems
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Follow on Instagram for UpdatesSignals and Systems Syllabus — Unit-wise Content
The official GTU curriculum for Signals and Systems (subject code BE05024061) as prescribed for PE · Semester 5 divides the course into 6 units, covering 35 listed topics. The unit-wise breakdown below is read from the GTU syllabus document for this subject code, so you can check what the course actually covers before deciding which papers to attempt.
Download the official syllabus PDF (BE05024061)Unit 1 Introduction to Signals
- Definition of signal
- CT and DT signals
- Classification: periodic/aperiodic
- Basic signals: step
- Signal operations: shifting
- time inversionSampling
- quantization & discretization
- Applications in sensor signals and digital acquisition
Unit 2 Introduction to Systems
- Definition and representation of CT and DT systems
- System properties: linearity
- time invariance
- Impulse response and system characterization
- Convolution integral and convolution sum, Block-diagram representations of CT-LTI & DT-LTI systems
Unit 3 Time‑Domain Analysis of CT and DT Systems
- Convolution integral (CT) and convolution sum (DT)
- Causal and non‑causal LTI system responses
- Interconnection of LTI systems (cascade/parallel/feedback)
- Review of Laplace concepts relevant to time‑domain analysis
- FIR vs IIR conceptual introduction
Unit 4 Fourier Analysis of CT and DT Signals
- Fourier Series:Representation of periodic signals
- Line spectra
- harmonic content
- Power and energy spectral interpretations Fourier Transform (CTFT & DTFT): Fourier Transform of aperiodic signals
- time/frequency scaling
- Relationship between Laplace and Fourier Transform
- Introduction to DTFT and its properties Conceptual introduction to DFT (as precursor to DSP)
Unit 5 Laplace Transform and Z‑Transform
- Laplace Transform: ROC, properties
- inverse LT, Solving differential and integro‑differential equations
- Transfer function and system stability Z‑Transform: Definition, ROC, inverse ZT, Properties of Z-Transform
- Solving linear difference equations
- Pole‑zero plots and system stability
Unit 6 Sampling, Reconstruction & DSP Foundations
- Ideal and practical sampling
- Nyquist criterion & aliasing
- Reconstruction using ideal and practical filters
- Introduction to discrete‑time signal processing chain
- Real‑world applications (audio, ECG, communication)
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