Time frequency decomposition method for signals including intersections in instantaneous frequencies

An instantaneous frequency and time-frequency decomposition technology, applied in the field of signal processing, can solve the problems of signals containing cross points, no effective method, and inability to process signals containing cross points, etc.

Active Publication Date: 2013-12-18
SHANGHAI JIAO TONG UNIV
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Problems solved by technology

[0005] In response to this problem, some international research can improve the signal decomposition ability of the Hilbert-Huang transform when the processing frequency is similar by masking signal (masking signal), signal-assisted empirical mode decomposition, e...

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  • Time frequency decomposition method for signals including intersections in instantaneous frequencies
  • Time frequency decomposition method for signals including intersections in instantaneous frequencies
  • Time frequency decomposition method for signals including intersections in instantaneous frequencies

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Embodiment Construction

[0052] figure 1 It is a flow chart that adopts Hilbert-Huang transform to decompose the instantaneous frequency signal containing the cross point, and the instantaneous frequency of the present invention contains the signal time-frequency decomposition method of the cross point, comprising the following steps:

[0053] The first step: Hilbert-Huang transform is performed on the original instantaneous frequency signal x(t) including intersection points to obtain a time-frequency distribution diagram;

[0054] The second step: select a clear time-frequency curve segment from the time-frequency distribution diagram obtained in the first step, and use the least square method to fit this curve with a polynomial, and then fit the function obtained along the left and right endpoints The tangent line is extended, and the continuation is extended along the tangent method of the end point until the time axis limit of the time-frequency diagram, and the fitting function after the continu...

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Abstract

The invention provides a time frequency decomposition method for signals including intersections in instantaneous frequencies. The method comprises the following steps of: modulating an original signal by using a linear frequency modulation operator to remove the intersection of the instantaneous frequency momentarily; performing empirical mode decomposition on the signal to obtain an intrinsic mode function; modulating the intrinsic mode function by using the conjugate of the linear frequency modulation operator; performing Hilbert transform to obtain a clear time-frequency distribution diagram. The invention mainly provides a method for improving the signal time frequency decomposition capacity by means of linear frequency modulation wavelet transform specific to signals including intersections in the instantaneous frequencies.

Description

technical field [0001] The invention relates to the technical field of signal processing, in particular to a decomposition method of a signal whose instantaneous frequency contains a cross point. Background technique [0002] Time-frequency analysis provides the joint distribution information of signal time domain and frequency domain, which can clearly describe the relationship of signal frequency with time. Hilbert-Huang transform (Hilbert-Huang transform) is an adaptive time-frequency analysis method, which can deal with non-stationary and nonlinear signals. At present, scholars at home and abroad have carried out extensive research on Hilbert-Huang transform, and this technology has gradually been applied to geophysics, structural dynamics, fluid mechanics, fault diagnosis and other fields. [0003] The Hilbert-Huang transform mainly includes two parts: first, the signal is decomposed into a finite number of intrinsic mode functions by using empirical mode decomposition...

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Application Information

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IPC IPC(8): G06F17/14
Inventor 熊振华孙宇昕庄春刚
Owner SHANGHAI JIAO TONG UNIV
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