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EC01 · Sem 4 · Signals & systems

Sampling theorem and aliasing

Aim: Show what happens when a signal is sampled below twice its frequency.

🧪 Live simulation🧊 Real-time 3D bench⚠ Simulated values, not physical measurements

🔬 Virtual lab

Starting the lab…

📘 Theory

A band-limited signal can be rebuilt from samples taken faster than twice its highest frequency (Nyquist). Sample slower and frequencies above fs/2 fold back and appear as false, lower frequencies: aliasing.

f_alias = |f − k·fs| (nearest multiple) · fs > 2·f_max

🧰 Apparatus (virtual)

  • Signal generator
  • ADC with adjustable sampling rate
  • spectrum analyser

📝 Procedure

🎤 Viva questions

At what rate is CD audio sampled, and why

44.1 kHz, a little over twice the 20 kHz limit of hearing.

What does an anti-aliasing filter do

It removes frequencies above fs/2 before sampling.

🛡️ Safety

Virtual lab. With real RF equipment, respect exposure limits, never transmit without a licence, and keep antennas away from people.

📚 Tools & references