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HHT end effect restraining method based on data/extreme value joint symmetric prolongation

A technology of symmetrical continuation and endpoint effect, which is applied in complex mathematical operations, instruments, character and pattern recognition, etc., and can solve problems such as endpoint divergence and endpoint flying wings

Active Publication Date: 2016-07-13
FUJIAN UNIV OF TECH
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Problems solved by technology

[0024] The technical problem to be solved by the present invention is to provide a HHT endpoint effect suppression method based on data / extreme joint symmetric continuation, to solve the inherent endpoint flying wing problem in EMD decomposition and the endpoint divergence problem in the Hilbert transformation process

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  • HHT end effect restraining method based on data/extreme value joint symmetric prolongation
  • HHT end effect restraining method based on data/extreme value joint symmetric prolongation
  • HHT end effect restraining method based on data/extreme value joint symmetric prolongation

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specific Embodiment approach

[0126] A kind of specific implementation mode of the present invention is as follows:

[0127] 4.1 Symmetrical continuation of end data

[0128] Let the original signal be x(t), perform the following operations on x(t):

[0129] (1) The maximum value points of x(t) are U(1), U(2),..., U(n), and the minimum value points of x(t) are L(1), L(2 ),..., L(m). Wherein, m=n, or 1m-n1=1, and m and n are integers. The left endpoint is denoted as x(0), and the right endpoint is denoted as x(end).

[0130] (2) Symmetrically extend the data at the left end of the original signal:

[0131] a. When x(0)≥U(1), take x(0) as a symmetrical point, and extend the signal data between x(0)~U(2) symmetrically to the left. (as stated image 3 Shown in a)

[0132] b. When x(0)≤L(1), take x(0) as a symmetrical point, and extend the signal data between x(0)~L(2) symmetrically to the left. (as stated image 3 in b);

[0133] c. When L(1) image 3 middle c shows);

[0134] d. When L(1) image 3 mi...

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Abstract

The invention provides an HHT end effect restraining method based on data / extreme value joint symmetric prolongation.The method comprises the following steps that firstly, original signals are subjected to end data symmetric prolongation; secondly, extreme points are subjected to symmetric prolongation; thirdly, envelope lines of signals obtained after joint prolongation are obtained; fourthly, EMD is carried out, and IMF components within an original signal time-domain range are intercepted; fifthly, the IMF components including a prolongation part are subjected to Hilbert transformation, and instant frequency within the original signal time-domain range is intercepted.The problem of inherent end swings in EMD and the problem of end divergence in the Hilbert transformation process are solved.

Description

technical field [0001] The invention relates to a HHT endpoint effect suppression method based on data / extreme joint symmetric extension. Background technique [0002] Most of the traditional signal analysis and processing are based on the Fourier Transform (FourierTransform, FT for short). However, Fourier transform can only deal with global waves, and requires that the analyzed system must be linear, and the signal must be stationary or strictly periodic, which greatly limits the application of Fourier transform in nonlinear systems and non-stationary signals. Moreover, although the Fourier transform can obtain higher resolution in the frequency domain or the time domain, it cannot satisfy both domains at the same time, and cannot characterize the time point when a certain frequency component in the signal appears, and the component changes with time. Therefore, it cannot meet the needs of non-stationary signal analysis and processing. The short-time Fourier transform, W...

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Application Information

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IPC IPC(8): G06F17/14G06K9/00
CPCG06F17/14G06F2218/08
Inventor 吴琛项洪
Owner FUJIAN UNIV OF TECH
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