Classic detectors
Noisy signal processing methods

Detection is a special case of classification, obtained by restriction to two hypotheses, "absence of signal" H₀ , and "presence of signal" H₁ , and two decisions "absence of signal" δ ₀, and "presence of signal" δ ₁ . Nevertheless, we generally distinguish the detector on the one hand, from the two-class classifier on the other, by giving it a dissymmetrical structure with respect to the two hypotheses.

In signal processing practice, for monovariable quantities (but they could be multivariable), the random observation X is, for example, derived from the real random function V (t ) sum, under the...