Short summary Sampling, aliasing, reconstruction, and practical A/D conversion examples.
Learning objectives
Explain sampling theorem and conditions for perfect reconstruction.
Demonstrate aliasing and anti-aliasing requirements.
Implement simple reconstructions (sinc/interpolation) and study errors.
Key concepts (brief)
Nyquist frequency and aliasing examples.
Reconstruction using sinc (Cardinal series) and practical limits.
Quantization and its effect on measurement uncertainty (intro-level).
Recommended notebooks to run
sampling_aliasing_examples.ipynb
mimic_analog_to_digital_conversion.ipynb
reconstruct_with_sinc.ipynb
Reconstruction_periodic_signal_Cardinal_series.ipynb
Suggested exercises
Create aliased and non-aliased versions of a signal and explain differences.
Reconstruct a band-limited signal with truncated sinc and quantify error.
Prerequisites Basic Fourier theory and sampling concepts.