Analog-to-Digital (A2D) — Introduction and Learning Goals

Analog-to-Digital (A2D) — Introduction and Learning Goals#

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.

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