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I've been trying to find the answer to this question on the internet but no real luck so here goes:

Imagine a signal My_signal which has two components, the actual signal A which is not constant over time and a noise component, we can call it N, where said noise component has a standard deviation which is more or less constant over time regardless of the amplitude of A. How do I calculate the standard deviation for A?

If sigma is the standard deviation, is it:

My_signal = A + N

sigma(My_signal) = sqrt( (sigma(A)^2) + (sigma(N)^2))

-> sigma(A) = sqrt(sigma(My_signal)^2-sigma(N)^2))

Thanks,

Marcus

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# Standard deviation for a signal with a noise component

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