DSP Learning Labs

A lab-focused repository for CCE3206: Digital Signal Processing at the University of Malta. Each practical session explores a key DSP concept using Python (NumPy, SciPy) in Jupyter notebooks.

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Practicals Overview

This repository includes 4 hands-on labs, each with a worksheet and an implemented solution notebook. Topics range from sampling theory and IIR filtering to FIR design and FFT-based frequency analysis.

Practical 1 – Sampling Theorem

• Signal generation and pulse train sampling
• Power spectrum comparison (original vs sampled)
• Aliasing effects and Nyquist violations
• Chebyshev low-pass filtering

Practical 2 – IIR Filter Implementation

• First-order IIR filter with recursive feedback
• Impulse and step response simulation
• .wav signal filtering and power spectrum analysis
• Gain/phase computation
• Experimental vs theoretical Bode plots

Practical 3 – FIR Filter Design

• FIR system implementation and frequency response
• Filter length and performance tradeoffs
• Visualization of filtering effects
• (See worksheet for theoretical context)

Practical 4 – DFT and FFT Analysis

• Manual DFT matrix computation
• Symmetry and conjugation in transforms
• Parseval’s theorem and energy conservation
• FFT implementation and performance gains

These practicals were designed as skill-building exercises rather than full projects. Emphasis is on signal understanding and implementation from first principles.

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Requirements

This repository does not include a requirements.txt file.

To run the notebooks, make sure you have the following Python libraries installed:

pip install numpy scipy matplotlib jupyter

Or use:

conda install numpy scipy matplotlib jupyter

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Repository Structure

DSP-Labs/
├── Practical_1/
│   ├── cce3206-practical-1.pdf
│   └── practical_1_solution.ipynb
├── Practical_2/
│   ├── cce3206-practical-2.pdf
│   └── practical_2_solution.ipynb
├── Practical_3/
│   ├── cce3206-practical-3.pdf
│   └── practical_3_solution.ipynb
├── Practical_4/
│   ├── cce3206-practical-4.pdf
│   └── practical_4_solution.ipynb
└── README.md

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Author

Graham Pellegrini
University of Malta
GitHub: @GrahamPellegrini