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Non-stationary Signal Processing Method Based on Generalized LFM Bisynchronous Extraction Transform

A generalized linear frequency modulation, non-stationary signal technology, applied in the field of signal processing, can solve problems such as cross-term interference

Active Publication Date: 2021-10-01
NORTHEASTERN UNIV LIAONING
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Problems solved by technology

[0006] (1) The chirp wavelet has not broken away from the inner product transformation framework, and the time-frequency energy distribution obtained by this method is still very different from the time-frequency energy distribution in the ideal state
[0007] (2) The maximum value of time-frequency energy corresponding to different chirp coefficients is retained at all time-frequency points, so that there is cross-term interference near the real instantaneous frequency, which is especially prominent when dealing with multi-component signals

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  • Non-stationary Signal Processing Method Based on Generalized LFM Bisynchronous Extraction Transform
  • Non-stationary Signal Processing Method Based on Generalized LFM Bisynchronous Extraction Transform
  • Non-stationary Signal Processing Method Based on Generalized LFM Bisynchronous Extraction Transform

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Embodiment Construction

[0062] An embodiment of the present invention will be further described below in conjunction with the accompanying drawings.

[0063] Here, two sets of nonlinear FM signals are created to illustrate the advantages and disadvantages of generalized chirp transform in processing nonlinear FM signals.

[0064] The first group of non-linear frequency modulation signals is a single component signal, and its time domain expression is:

[0065] the s 1 (t)=1·cos(2π·(148t+37t 2 +74t 3 / 3)) (18)

[0066] Its instantaneous frequency change curve is:

[0067] IF 1 (t)=148+74t+74t 2 (19)

[0068] The second group of non-linear frequency modulation signals is a multi-component signal, and its time domain expression is:

[0069] the s m (t)=s 1 (t)+s 2 (t)+s 3 (t) (20)

[0070] Among them, s 1 is the first group of single components, s 2 , s 3 The time domain expressions of are:

[0071] the s 2 (t)=1·cos(2π·(74t+37t 2 / 2+37t 3 / 3)) (21)

[0072] the s 3 (t)=1·cos(2π·(...

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Abstract

The invention belongs to the technical field of signal processing and discloses a non-stationary signal processing method based on generalized linear frequency modulation double synchronous extraction transformation. By combining the chirp wavelet of the dual-operator structure with the synchronous extraction transform, the time-frequency energy diffusion phenomenon caused by using different chirp coefficients to process the nonlinear FM signal is significantly reduced; the idea of ​​determining the instantaneous frequency distribution by means of the synchronous extraction transform, Cleverly use the instantaneous frequency distribution matrix corresponding to different chirp coefficients to determine the real instantaneous frequency position, only retain the time-frequency energy distribution at the real instantaneous frequency position, and significantly improve the time-frequency energy aggregation. Compared with the existing technology, the time-frequency energy distribution obtained by this method is closest to the time-frequency energy distribution under the ideal state, which can not only accurately reflect the trend of instantaneous frequency over time, but also accurately reflect the variation of instantaneous frequency at each time point. Amplitude size. This method is applicable to the vibration signal analysis of rotating machinery in the field of fault diagnosis and so on.

Description

[0001] technical background [0002] The invention belongs to the technical field of signal processing, in particular to a non-stationary signal processing method based on generalized linear frequency modulation double synchronous extraction transformation. Background technique [0003] The chirp wavelet transform can effectively reflect the time-frequency energy distribution of the chirp signal by selecting the appropriate chirp parameters. When the chirp parameter is consistent with the slope of the instantaneous frequency slope of the chirp signal, the obtained time-frequency energy distribution has the highest concentration. For nonlinear frequency modulation signals whose instantaneous frequency changes rapidly with time, the time-frequency energy distribution processed by chirp wavelet has poor aggregation. [0004] By constructing a series of linear frequency modulation coefficients at equal intervals, the time-frequency energy distribution of the nonlinear frequency m...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06K9/00G06F17/14
CPCG06F17/141G06F17/148G06F2218/10
Inventor 马辉李鸿飞俞昆曾劲罗志涛
Owner NORTHEASTERN UNIV LIAONING
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