Extraction of a signal embedded in noise
Signal processing
Article REF: R305 V1
Extraction of a signal embedded in noise
Signal processing

Author : Jean AUVRAY

Publication date: April 10, 1987 | Lire en français

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2. Extraction of a signal embedded in noise

This is the most classic and well-known aspect of signal processing. The overall signal to be processed e (t ) is the sum of the useful signal x (t ) and the noise b (t ) :

e (t ) = x (t ) + b (t )

One of the essential parameters of the problem is the signal-to-noise ratio ρ e , which is the quotient of the powers of these two components:

ρe=x2(t)¯b2(t)

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