A simple example of elementary decisions
Noisy signal processing methods

Problem

A "personalized" distress beacon can be manifested by several signals, which, after sampling and shaping, are translated into :

• a discrete signal, ∀ k, S_g(k ) = γ, reflecting operation in a gaseous medium, the actual value of γ (γ ∊]0, A]) being equal to the absolute temperature of the medium ;

• a discrete signal, ∀ k, S_a(k ) = (– 1)^k, reflecting operation in an aqueous medium ;

• an absence of signal (which can be translated as a discrete signal, ∀ k, S₀ (k ) = 0), translating the absence of operation.

Given the variable geographical context and the disturbances affecting the signal actually transmitted during the propagation phase, the received signal S (k ), (S ∊ {S_g, S_a , S₀}), is, on reception, mixed with...