Stochastic Resonance in neural network, noise color effects

Some systems have phenomena that cannot be understood and predict by classical theory, that is why an explanation is found by a mixture of deterministic and stochastic theories. In order to achieve that, it is used noisy signals. Noise is not an interference signal that perturb the system, to the contrary, noise can help in the enhancement and understanding of the system functioning if the phenomena of nonlinear mechanics called Stochastic Resonance (SR) is study in detail. To detect this phenomena it is necessary that the system have a bistable potential barrier that creates a threshold, the input of the system should be a weak periodic signal which amplitude is below threshold together with an stochastic signal. In this way, the SR is detected when there are weak periodic signals that are added to different noise colors in order to be amplified and optimised. The interactions between the two signals transform the potential of the system precisely at the frequency of the weak periodic signal that is added to the system. The behaviour of the SR is detected in a neural network and it is study under noise color variations where Pink noise amplified the signal many orders of magnitude more than white noise.

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