AI-generated Computed live, not drawn 3 illustrative choices

This page was generated by Claude (Anthropic) for the Wireless 101 course. Every number on both plots is computed in your browser, right now. The noise is real Gaussian noise from Box–Muller on a seeded generator; the symbols are really mapped, really corrupted, really demapped and really counted one bit at a time; and the theoretical curves are exact — enumerated decision regions for QAM, an integral of the exact received-phase density for PSK — not textbook approximations and not a shape traced to look right.

Published figures are cited where they appear, and cross-checked against this course's own lessons so the page cannot contradict them: BPSK needs 10.53 dB of Eb/N0 for a BER of 10−6 (M9‑L2), and each extra 2 bits/symbol costs about 6 dB (M5‑L3, M5‑L4). Recompute both here and see.

Only three things are illustrative, and each says so where it is used: the raised-cosine roll-off β = 0.35 in the timing-error model, the default seed and knob positions, and the ranges offered for the two implementation-loss knobs. Nothing on either plot is illustrative.

Constellation, AWGN and the BER waterfall

Pick a modulation, set the noise, and watch simulated bit errors land on the theoretical curve. Then turn on Gray coding and watch the bit error rate drop while the symbol error rate does not move at all. Modules 5 and 9. Nothing on this page moves on its own — the two running processes both start from a button and share one Stop.

The signal chain, with a live view at every stage

 

 

 

 

Modulation

The constellation

The BER waterfall

Rate against robustness — all five on one axis

What the simulator actually does, step by step

Six things worth getting straight

The arithmetic, in full