Achieving high bit rate logical stochastic resonance in a bistable system by adjusting parameters

Abstract

The phenomenon of logical stochastic resonance (LSR) in a nonlinear bistable system is demonstrated by numerical simulations and experiments. However, the bit rates of the logical signals are relatively low and not suitable for practical applications. First, we examine the responses of the bistable system with fixed parameters to different bit rate logic input signals, showing that an arbitrary high bit rate LSR in a bistable system cannot be achieved. Then, a normalized transform of the LSR bistable system is introduced through a kind of variable substitution. Based on the transform, it is found that LSR for arbitrary high bit rate logic signals in a bistable system can be achieved by adjusting the parameters of the system, setting bias value and amplifying the amplitudes of logic input signals and noise properly. Finally, the desired OR and AND logic outputs to a high bit rate logic inputs in a bistable system are obtained by numerical simulations. The study might provide higher feasibility of LSR in practical engineering applications.

Effects of restrained degradation on gene expression and regulation

“…Stochastic resonance that was first proposed by Benzi et al [34] and Nicolis et al [35] to describe the periodic recurrences of ice ages on Earth has been studied in a variety of nonlinear systems such as in biological systems and laser systems [36][37][38][39][40][41][42]. As an intriguing phenomenon, it is the result of the cooperative effect between the noises and the external periodic signal.…”

Parameter allocation of parallel array bistable stochastic resonance and its application in communication systems

“…Furthermore, according to the classical BSR theory, the output signal of the BSR system is enhanced optimally when the noise variance equals to half of the barrier height (σ 2 ξ = ∆U j 2). [16][17][18][19][20] Hence, we can obtain the parameter allocation when SR works after performing straightforward calculation. For the information-bearing BPAM input signal, the SR-operative parameter selection of the P-BSR system is given as…”

“…Step 2 The dynamical equation of bistable system (17) is altered to Eq. ( 19) based on the variable transformation expression (18), and then the realistic communication scenarios can be mapped to the ideal adiabatic approximation category.…”

“…Based on the extended SR theory, several parameter allocation approaches in bistable SR (BSR) models for weak signal processing have been studied. [17][18][19][20] Yang et al [17] adjusted the parameter of a BSR system to achieve the high bit rates of the logical signals. Wang et al [18] introduced the BSR into a cognitive radio system to improve spectrum sensing performance.…”

Realizing reliable XOR logic operation via logical chaotic resonance in a triple-well potential system

“…[27] On the other hand, some researchers have carried out LSR-related studies from a theoretical perspective, and confirmed that stochastic noise is not necessary for logical resonance. Many deterministic factors, such as periodic force, [34][35][36][37][38] time delay, [39][40][41][42][43] parameters, [44,45] coupling, [46][47][48] and temperature, [49] can also induce LSR-like phenomena.…”