A HHT Endpoint Effect Suppression Method Based on Data/Extreme Joint Symmetrical Continuation

A technology of symmetrical continuation and endpoint effect, applied in complex mathematical operations, instruments, calculations, etc., can solve problems such as endpoint divergence, endpoint flying wings, etc., and achieve accurate envelope curves, simple theory and algorithm, and good endpoint suppression effect Effect

Active Publication Date: 2019-04-23
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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  • A HHT Endpoint Effect Suppression Method Based on Data/Extreme Joint Symmetrical Continuation
  • A HHT Endpoint Effect Suppression Method Based on Data/Extreme Joint Symmetrical Continuation
  • A HHT Endpoint Effect Suppression Method Based on Data/Extreme Joint Symmetrical Continuation

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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 present invention provides a HHT endpoint effect suppression method based on data / extreme joint symmetric extension, comprising the following steps: step 1, performing end data symmetric extension on the original signal; step 2, extremum point symmetrical extension; step 3. Obtain the envelope of the signal after joint extension; step 4, EMD decomposition, intercept the IMF component within the time domain range of the original signal; step 5, perform Hilbert transform on the IMF component including the extended part, and intercept the original signal time domain The instantaneous frequency within the range solves the inherent end-point flying wing problem in EMD decomposition and the end-point divergence problem in the Hilbert transform process.

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 Fourier Transform (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, Wigner-Ville distributi...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/14G06K9/00
CPCG06F17/14G06F2218/08
Inventor 吴琛项洪
Owner FUJIAN UNIV OF TECH
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