Weak Signal Detection with Duffing Oscillator Based on Virtual Instrument Technology

Abstract

Abstract-To obtain new ways of detecting weak signals, we analyzed the motion of a Duffing oscillator in different input states by solving the Duffing equation and then elaborating on the basic principles of weak signal detection based on Duffing oscillator phase-change characteristics. The experiment that shows how to achieve weak signal detection with a Duffing oscillator based on virtual instrument technology and then discusses the impact on signal detection coming from Gaussian white noise and how to implement weak signal detection with noise. The results show that a Duffing oscillator not only can be effective for detection of weak signals in the background of strong noises, but it also has high performance to cost ratio to achieve it with virtual instrument technology. Compared to existing methods, it can greatly improve the detection results and has broad application.

Discontinuous Dynamic Analysis of a Modified Duffing-Rayleigh System With a Piecewise Quadratic Function

“…F (0) 0 (x, t) is the vector field on the boundary, and it can induce the discontinuity of the vector for the whole system. The scalar force in the α-domain is F α (x, t) and the forces in the two domains are expressed by (8), which includes the linear and nonlinear spring forces, the nonlinear damping force and the excitation force plus the friction force.…”

“…The new method for state identification of the Duffing oscillator based on extreme learning machine was proposed to solve the problem in heavy computation cost and slow convergence rate [7]. The motion of the Duffing oscillator in different input states was carried out to obtain better ways of detecting weak signals in the background of strong noise [8]. The The associate editor coordinating the review of this manuscript and approving it for publication was Di He .…”