Title :
Stochastic resonance and data processing inequality
Author :
McDonnell, M.D. ; Stocks, N.G. ; Pearce, C.E.M. ; Abbott, D.
Author_Institution :
Centre for Biomed. Eng., Univ. of Adelaide, SA, Australia
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 periodic input signals.
Keywords :
channel capacity; information theory; noise; probability; resonance; stochastic processes; SNR gains; data processing inequality; information theory; nonlinear systems; periodic input signals; signal to noise ratio gains; stochastic resonance;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:20030792
