Signal Detection Theory — Morse Code in Noise

Signal Detection Theory (SDT) separates sensitivity (d′ = signal discriminability) from response bias (criterion c). For Morse code detection, a dot/dash exists (signal+noise) or not (noise only) — both produce Gaussian energy distributions. The ROC curve traces all operating points as the criterion shifts. d′ = z(Hit Rate) − z(False Alarm Rate) measures how well the signal stands above noise, independent of decision bias.

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6.0 dB
1.00
0.80
d′ (sensitivity):
Hit Rate:
False Alarm Rate:
Criterion c:
AUC (ROC):
Current signal:
Detection: