Method for extracting phase image of one-dimensional noisy iteration mapping chaos sequence
An extraction method and chaotic sequence technology, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve problems such as impossibility and difficulty in denoising
Inactive Publication Date: 2012-06-27
UNIV OF ELECTRONICS SCI & TECH OF CHINA
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Chaos denoising can be described as finding an accurate chaotic sequence that is closest to the observed noisy sequence in the sense of statistical average, but in the case of strong noise, the noise completely submerges the useful chaotic signal, so denoising noise often becomes difficult or even impossible
In addition, the existing partial denoising methods also need to know the dynamics of chaos, which leads to limitations in the practical application of phase diagram extraction
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[0045] The method of the embodiment is as figure 1 As shown, including the following steps:
[0046] Step 1: For the received noisy sequence (r k , R k+1 ), k=1, L, T-1 are modeled as a two-dimensional random vector (Y, Z), that is, the received data at any two adjacent moments (r k , R k+1 ) Are regarded as observations of the same two-dimensional random vector (Y, Z), (Y, Z) satisfies:
[0047] Y = X + N 1 Z = f ( X ) + N 2 - - - ( 1 )
[0048] Among them, T represents the total length of the received sequence, N 1 With N 2 Represents the random variables of the observation noise introduced in the observation process, all obey 0 mean, and the variance is σ 2 Gaussian distribution (σ 2 Is a known value), the variance can be estimated by information theory criteria such as AIC criterion (Akaike Information Criterion), MDL criterion (Minimum description length criterion, Minimum description length), etc., N 1 With N 2 Th...
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The invention provides a method for extracting a phase image of a one-dimensional noisy iteration mapping chaos sequence. The phase diagram extracting method comprises the following steps of: establishing linear equations of a function image of evaluating iteration mapping by using a probability of dropping into a special area and conditional expectation in a special form, and utilizing a regularization method to solve the equations, so as to extract the phase diagram from the chaos sequence. With the adoption of the method disclosed by the invention, a dynamic rule and a statistical distribution rule thereof which is obeyed by data can be extracted under a noise background, so that the foundation is provided for understanding a data mode hidden behind noise. Under the condition that de-noising is not carried out on chaotic signals, the evaluation of the phase image is given and the statistical properties of the phase image are obtained to be used as a premise for further processing data signals. The method disclosed by the invention can also effectively work in an environment of a negative signal-to-noise ratio and has certain robustness of the variation of the signal-to-noise ratio and the variation of the one-dimensional iteration chaotic mapping.
Description
Technical field [0001] The present invention relates to non-linear signal processing technology. Background technique [0002] In nature, the time series of runoff, sunspot number, rainfall, and radar backscattered echoes (sea clutter) on the ocean surface are all chaotic. Chaos is a seemingly irregular motion produced by a deterministic system. It is a complex dynamic behavior that is extremely sensitive to initial values, non-periodic, random-like, long-term unpredictable, and broadband white noise in the frequency domain. characteristic. [0003] The methods of chaotic time series analysis are often based on dynamic system theory. For a deterministic system, once the current state of the system is determined, its future state will also be determined. [0004] For the data obtained from one-dimensional iterative chaotic map iteration, there are two very important tools to describe it, one is the dynamic law followed by the data, and the other is the statistical distribution law o...
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IPC IPC(8): G06F19/00
Inventor 廖红舒甘露张花国任春辉闫华
Owner UNIV OF ELECTRONICS SCI & TECH OF CHINA