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Driving-frequency dependence of colored-noise superiority over white noise in weak-signal response

Ascertain how the external driving frequency influences the conclusion that Ornstein–Uhlenbeck colored noise yields superior weak-signal response compared to Gaussian white noise in excitable neuron models.

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Background

Prior work (Nozaki et al.) conjectured and provided evidence that colored noise may surpass white noise in eliciting weak-signal responses in excitable neurons at fixed driving frequency and sufficiently strong noise. The authors note that the role of driving frequency in this comparative performance had not been clarified and frame it as an open issue before presenting their own analysis.

References

Note that, Nozaki and collaborators put forward the conjecture that colored noise may have functional significance compared to white noise in weak signal response. Moreover, for a fixed driving frequency, they verified that the signal response evoked by colored noise of excitable neurons is superior to that by white noise for a sufficient strong noise. Nevertheless, how the driving frequency influences their conclusion is still unknown.

Unified signal response for stochastic resonance in bistable systems (2502.20638 - Liu et al., 28 Feb 2025) in Section 2.1.3 (Subsection "Single oscillator under OU noise")