Abstract
The data processing inequality of information theory proves that no more information can be obtained out of a set of data than was there to begin with. However, many papers in the field of stochastic resonance report signal to noise ratio gains in some nonlinear systems due to the addition of noise. Such an observation appears on the surface to contradict the data processing inequality. It is demonstrated that the data processing inequality is upheld for the case of a periodic input signals.
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