A weak signal detection method for piecewise nonlinear bistable systems

A non-linear bistable and weak signal detection technology, applied in the field of signal processing, can solve the problems of reducing signal enhancement ability and limiting detection ability

Inactive Publication Date: 2019-02-19
CHONGQING UNIV OF POSTS & TELECOMM
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Problems solved by technology

From the above potential well models, these potential well models have outstanding advantages compared with the more mature classical bistable stochastic resonance (CBSR) system; and through theoretical analysis, it can be known that the CBSR system has the same Inherent output saturation; this characteristic not only reduces the system's ability to enhance the signal, but also limits the system's ab...

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  • A weak signal detection method for piecewise nonlinear bistable systems
  • A weak signal detection method for piecewise nonlinear bistable systems
  • A weak signal detection method for piecewise nonlinear bistable systems

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[0014] The implementation of the present invention will be further described below with reference to the drawings and specific examples.

[0015] Step 1: Under the co-drive of the weak periodic signal and Levy noise, the over-damped nonlinear system model ignoring the inertia term can be described as:

[0016]

[0017] Where A is the amplitude of the weak periodic signal, f is the characteristic frequency of the weak periodic signal to be measured, V(x) is the potential function of the PNBSR system, D is the noise intensity coefficient, and ξ(t) is the non-Gaussian Levy noise

[0018] It can be known from the existing literature that the output saturation of the CBSR system greatly limits the signal enhancement and detection capabilities. We can see that the potential function expression of the CBSR system is V(x)=-a c x 2 / 2+b c x 4 / 4, its potential well point The barrier height is ΔV=a c 2 / (4b c ), and the base height is x b = 0, for a more convenient comparative analysis, make t...

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Abstract

The invention relates to a weak signal detection method based on adaptive piecewise nonlinear bistable stochastic resonance, and belongs to the technical field of signal processing. In order to extract weak signal under strong noise background, the invention combines an exponential function and a classical bistable potential function model to propose a novel piecewise nonlinear bistable stochasticresonance system. The method based on this system firstly pretreats the noisy signal to satisfy the small parameter condition of adiabatic approximation theory, Then the searching range of the parameters of piecewise nonlinear bistable system is set according to the known conditions, and the parameters of piecewise nonlinear bistable system are optimized by using the average signal-to-noise ratiogain as the performance average index, so as to produce the best resonance effect. The piecewise nonlinear bistable potential well model proposed by the invention has the advantages of the exponential type single potential well model and the traditional bistable model, and has universal significance in practical application. Adaptive optimization algorithm is used to optimize the system parameters, which avoids the poor resonance effect caused by the poor selection of system parameters.

Description

Technical field [0001] The invention belongs to the technical field of signal processing, and is specifically a weak signal detection method based on adaptive piecewise nonlinear bistable stochastic resonance. Background technique [0002] In recent years, for the noise in weak signals, the traditional processing methods include singular value decomposition (SVD) and wavelet transform (WT), but these methods are often harmful and unprofitable when the signal-to-noise ratio is extremely low. exist. Therefore, as Benzi et al. first proposed stochastic resonance when studying the problem of ancient meteorological glaciers, stochastic resonance entered people's field of vision as a new signal processing method. In the 1990s, Collins combined information theory with stochastic resonance and proposed a This non-periodic stochastic resonance theory broadens the application range of stochastic resonance. In a nonlinear system, within a certain range of signal-to-noise ratio, the stocha...

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F2119/10G06F30/20
Inventor 贺利芳周熙程吴霞张刚徐联冰
Owner CHONGQING UNIV OF POSTS & TELECOMM
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