Residual aperiodic stochastic resonance in a bistable dynamic system transmitting a suprathreshold binary signal

Abstract

Conventional stochastic resonance can be viewed as an amplitude effect, in which a small (subthreshold) input signal receives assistance from noise to trigger a stronger response from a nonlinear system. We demonstrate another mechanism of improvement by the noise, which is more of a temporal effect. An intrinsically slow system has difficulty to respond to a fast (suprathreshold) input, and the noise plays a constructive role by spurring the system for a more efficient response. The possibility of this form of stochastic resonance is established and studied here in a double-well bistable dynamic system, driven by a suprathreshold random binary signal, with the noise accelerating the switching between wells.

Stochastic resonance in a parallel array of nonlinear dynamical elements

“…The positivity of eigenvalues λ 0 = 0 < λ 1 < · · · < λ n < · · · has been demonstrated [21][22][23].…”

“…Note that s(t) is subthreshold if the dimensionless amplitude A < A c = 2/ √ 27 ≈ 0.385, and suprathreshold otherwise [7,13,21].…”

“…where the constant coefficients c n can be calculated by inserting the initial conditions [21][22][23]. Here, we assume φ n (x) as the eigenfunctions of L FP with discrete eigenvalues λ n (n = 0, 1, .…”

“…Here, the real tunable array parameters τ a and X b are in the dimensions of time and amplitude, respectively [21]. We now rescale the variables according to…”

Non-Linear Signal Detection for Molecular Communications

“…When configuring the above nonlinear system, we consider the special case A 0 = 0.5 × 4a 3 /(27b) [19] and ΔV = D. Thus, the feasible parameters can be configured as a =…”