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Dissipation synchronization-based detection method of small signal under chaos background

A weak signal detection and weak signal technology, applied in measurement devices, instruments, etc., can solve problems such as increasing system complexity

Inactive Publication Date: 2013-02-06
南京行云环境监测技术开发有限公司
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Problems solved by technology

However, this method uses two SVM systems, which increases the complexity of the system, and the specific synchronization method is not selected.

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  • Dissipation synchronization-based detection method of small signal under chaos background
  • Dissipation synchronization-based detection method of small signal under chaos background
  • Dissipation synchronization-based detection method of small signal under chaos background

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Embodiment Construction

[0035] The present invention is described in detail below in conjunction with accompanying drawing and specific embodiment:

[0036] The present invention defines pure chaotic time series c according to Takens n Perform phase space reconstruction, select the normalized time delay τ=1, the embedding dimension D is twice the embedding dimension m determined by the pseudo-nearest neighbor method or Cao method, that is, D≥2m, and obtain the phase space c n ={c n ,c n-1 ,...,c n-(D-1)} T , n=D,..., N-1, T means matrix transpose, z n = c n ,n=D+1,...,N, and form a training input-output pair {c n ,z n+1}, n=D, . . . , N-1. The reason why the embedding dimension is chosen to be 2 times is to improve the information in the chaotic vector, so as to better restore the chaotic system.

[0037] The RBF neural network is used to fit the chaotic prediction model. The RBF neural network can theoretically realize the simulation of any function, avoid the local minimum problem, and hav...

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Abstract

The invention relates to a dissipation synchronization-based detection method of a weak signal under a chaos background. The dissipation synchronization-based detection method comprises the following steps of: 1, obtaining an embedded peacekeeping time delay of a chaos time sequence and reconstructing a chaos phase space; 2, fitting a chaos prediction model through a neutral network; 3, carrying out single-step prediction by using the chaos prediction model to obtain a predicated value, calculating an error between the predicted value and the practical value; and 4, analyzing an error value through methods of Fourier transform and the like and judging whether the weak signal exists in the error value, detecting the weak signal in the step 3, selecting a proper parameter for realizing dissipation synchronization of the time sequence and a chaos system, and determining a synchronization parameter K when the minimum mean square error of the error of the sum reaches the minimum value. The dissipation synchronization-based detection method has the advantages of weakening the characteristic that the chaos is extremely sensitive to the initial condition, considering the influence of factors such as the weak signal and noise on signal detection, and improving practical property.

Description

technical field [0001] The invention relates to a weak signal detection technology, in particular to a weak signal detection method under a chaotic background. Background technique [0002] Chaos is a nonlinear deterministic system, which has the characteristics of extreme sensitivity to initial conditions and short-term prediction, and is widely used in medicine, secure communication, hydrology and other fields. Chaos is everywhere, and the detection and estimation of weak signals under the background of chaos is one of the hotspots and difficulties in signal processing research. At present, weak signal detection under chaotic background is mainly based on chaotic phase space reconstruction and neural network. First, according to the Takens embedding theorem, the embedding dimension m and time delay τ of the chaotic time series are obtained by using the pseudo-nearest neighbor method, C-C method, mutual information, etc., and the chaotic phase space is reconstructed; then ...

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Application Information

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IPC IPC(8): G01D21/00
Inventor 行鸿彦龚平徐伟
Owner 南京行云环境监测技术开发有限公司
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