An Analytical Calculation Method for Statistical Characteristics of Disturbance Motion

A calculation method and a technique of statistical characteristics, applied in the field of mechanical environmental tests, can solve problems such as unfavorable data analysis and high-order ARMA models, achieve accurate quantitative description, overcome severe peaks and jumps, and smooth power spectral density curves

Active Publication Date: 2020-07-14
BEIJING INST OF AEROSPACE CONTROL DEVICES
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Problems solved by technology

[0013] In order to reduce the fluctuations and discrete points of the power spectrum, the ARMA model is used to solve the power spectral density in modern random signal processing, but its disadvantage is that the order of the ARMA model is very high, which is not conducive to data analysis

Method used

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  • An Analytical Calculation Method for Statistical Characteristics of Disturbance Motion
  • An Analytical Calculation Method for Statistical Characteristics of Disturbance Motion
  • An Analytical Calculation Method for Statistical Characteristics of Disturbance Motion

Examples

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Embodiment 1

[0140] Taking the test data of an inertial navigation system carrier environment as an example, the disturbance characteristics of the carrier are analyzed.

[0141] The motion information of the carrier is extracted from the raw acceleration and gyroscope, and the navigation calculation is performed. The sampling frequency f of the inertial navigation system is 200Hz. From the start of the test to the stop, the extracted sequence of eastward velocity disturbances Such as figure 1 As shown, the line spectrum after Fourier transform is as follows figure 2 As shown, the signal power spectral density obtained by the periodogram method is as follows image 3 As shown, the unbiased autocorrelation curve is as Figure 4 shown. It can be seen from the above drawings that the power spectral density function has serious peaks and jumps, and the period and amplitude of the system motion disturbance cannot be obtained directly from the curve.

[0142] Utilize the present inventio...

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Abstract

The invention relates to a method for analytic calculation of statistic characteristics of disturbance motions. Specific parameters of self-correlation and power spectral density functions of carrier motions through the steps of turbulence information extraction, self-correlation sequence calculation, self-correlation function fitting, power spectrum density calculation and the like are quantitatively given out, the power spectrum density of external turbulence frequency points can be directly calculated, the shortcoming that in the prior art, severe power spectral density peak and jumping cause inaccurate description of disturbance characteristics is overcome, quantified description of the carrier motion disturbance characteristics is achieved, the accuracy is high, and data is smooth. By adopting the method, the disturbance characteristics of the carrier motions can be accurately, simply and quantitatively worked out by adopting the numerical computation method.

Description

technical field [0001] The invention relates to an analytical calculation method for statistical characteristics of disturbed motion, which belongs to the technical field of mechanical environment tests. Background technique [0002] The spectrum analysis of the disturbance motion can be realized by directly performing Fourier transform on the disturbance signal, and the disturbance characteristics can be obtained according to the amplitude spectrum and its corresponding frequency. However, there are large peaks and jumps in the amplitude spectrum curve obtained by this method (such as figure 2 shown), which makes the result of disturbance characteristics inaccurate. Since then, people have obtained the disturbance characteristics through the power spectral density analysis of the disturbance signal, that is, by calculating the power spectral density of the signal, the disturbance characteristics are obtained according to the power spectral density amplitude and its corresp...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/20
CPCG06F30/20
Inventor 魏宗康赵启坤耿克达彭智宏魏珍虹
Owner BEIJING INST OF AEROSPACE CONTROL DEVICES
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