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Non-stationary signal processing method based on generalized parameterized synchronous extraction transformation

A non-stationary signal and synchronous extraction technology, applied in the field of signal processing, can solve the problems of time-frequency energy distribution energy diffusion, poor aggregation of time-frequency energy distribution results, etc.

Inactive Publication Date: 2018-12-21
NORTHEASTERN UNIV
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Problems solved by technology

However, due to the influence of the window function structure in the short-time Fourier transform, the time-frequency energy distribution obtained by this method always has the phenomenon of energy diffusion near the real instantaneous frequency
The synchronous extraction transform significantly improves the aggregation of the time-frequency energy distribution by only extracting the time-frequency coefficients at the ridge line of the instantaneous frequency. However, when it is used to process high-frequency signals or multi-component signals with similar frequency components, the obtained time-frequency energy The distribution results are poorly aggregated

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  • Non-stationary signal processing method based on generalized parameterized synchronous extraction transformation
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  • Non-stationary signal processing method based on generalized parameterized synchronous extraction transformation

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Embodiment Construction

[0043] An embodiment of the present invention will be further described below in conjunction with the accompanying drawings.

[0044] Here, a set of multicomponent signals is constructed to illustrate the effectiveness of the proposed method in dealing with multicomponent signals. The time domain expression of the simulated signal is:

[0045] s(t)=s 1 (t)+s 2 (t)

[0046] where s 1 (t) is:

[0047] the s 1 (t)=2·cos(2π(750t 4 -1500t3 +885t 2 +100t))

[0048] The corresponding instantaneous frequency is:

[0049] IF 1 (t) = 3000t 3 -4500t 2 +1770t+100

[0050] where s 2 (t) is:

[0051] the s 2 (t)=1·cos(2π(785t 4 -1567t 3 +930t 2 +150t))

[0052] The corresponding instantaneous frequency is:

[0053] IF 2 (t) = 3140t 3 -4701t 2 +1860t+150

[0054] Ideally, the time-frequency energy distribution corresponding to the simulated signal is as follows figure 2 shown. It can be seen from the figure that, ideally, the amplitude at the instantaneous frequen...

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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 a generalized parameterized synchronous extraction transform. A time-frequency analysis method based on the generalized parametric synchronous extraction transform is proposed, which combines the generalized parametric time-frequency analysis method before the short-time Fourier transform with the synchronous extraction transform after the short-time Fourier transform by using the short-time Fourier transform as a link. By iterative processing, the time-frequency energy distribution of each single component signal is obtained in turn, and the time-frequency energy distribution of multi-component non-stationary signal is obtained by superposing the time-frequency energy distribution. The time-frequency energy distribution obtained by the method is the closest to the time-frequency energy distribution under the ideal state compared with the prior art, and canaccurately reflect the trend of the instantaneous frequency change with time and the amplitude of the instantaneous frequency at each time point. This method is suitable for extracting instantaneousfrequency components of mechanical vibration signal, speech signal, ocean signal and radar monitoring signal.

Description

technical background [0001] The invention belongs to the technical field of signal processing, in particular to a non-stationary signal processing method based on generalized parameterized synchronous extraction transformation. Background technique [0002] Time-frequency analysis transforms the one-dimensional signal in the time domain into a two-dimensional time-frequency energy distribution distributed along the time and frequency directions, which can effectively describe the change law of the frequency component of the non-stationary signal over time. The energy aggregation degree of the time-frequency distribution is an important index to measure the effectiveness of the time-frequency analysis method. Time-frequency rearrangement moves the energy of each time-frequency point to the energy center of gravity by performing secondary rearrangement on the time-frequency energy distribution after short-time Fourier transform or wavelet analysis. However, time-frequency r...

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Application Information

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IPC IPC(8): G06K9/00
CPCG06F2218/10
Inventor 马辉罗志涛俞昆曾劲李鸿飞
Owner NORTHEASTERN UNIV
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