9.4c Filter and sinc labs

Source: Lab ideas from Computational Physics (Landau, Páez, Bordeianu), §9.4.3–9.4.4. Original drills. Continues 9.4.3–9.4.4.

Explorer

Pure Python. No NumPy.

Formula refresh

Warm up: pick the matching equation among lookalikes (same walk as the theory lesson).

Labs

Activity: RC lowpass gain

For $H=1/(1+i\omega\tau)$ at $\omega\tau=1$, print $|H|=1/\sqrt{1+(\omega\tau)^2}$ with 10 decimals.

No input.

Write-ups

0/2 solved

9.4c.W1

Using “convolution”, “product”, and “frequency”, explain:

Why filter by multiplying F(ω) H(ω) instead of convolving in time?

Minimum 3 words. Your answer must include: “convolution”, “product”, “frequency”.

0 words/ 3 min

Meet the writing requirements, then you can open the model answer.

Next: 9.5 Fast Fourier transform.