High dynamic gravity measurement vertical acceleration extraction method

A vertical acceleration and gravity measurement technology, which is applied in the direction of measuring devices, gravitational field measurement, geophysical measurement, etc., can solve the problem of large error in the extraction of high-frequency vertical motion acceleration, and achieve the effect of high extraction accuracy and small error

CN109521489AInactive Publication Date: 2019-03-26TIANJIN NAVIGATION INSTR RES INST
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Publication Date
2019-03-26
Estimated Expiration
Not applicable · inactive patent

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Abstract

The invention discloses a high dynamic gravity measurement vertical acceleration extraction method. The method comprises steps that Step 1, a uniform sampling discrete time signal ideal difference device mathematical model is established; and Step 2, an ideal low-pass difference device is taken as a model, according to the principle requirement of gravity measurement for the difference device design, the model least squares approximation method is utilized to complete high-order low pass differential FIR filter design. The method is advantaged the designed difference device is compared with atwo-point center difference device, under the higher carrier motion acceleration frequency band, the designed high-order low pass difference device has smaller error and higher acceleration extractionprecision.
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Description

technical field

[0001] The invention relates to high dynamic gravity measurement occasions where the vertical motion acceleration of a carrier needs to be compensated, such as aviation gravity measurement, water surface unmanned boat gravity measurement, underwater unmanned submersible vehicle gravity measurement, etc., especially a method for extracting vertical acceleration of high dynamic gravity measurement . Background technique

[0002] Vertical acceleration correction is the most important data post-processing correction item for aviation gravity measurement, surface unmanned vehicle gravity measurement, underwater unmanned submersible vehicle gravity measurement, etc., and it is also the main factor restricting the accuracy and resolution of such high dynamic gravity measurement. The document "Influence of Newton's central differentiator on the determination of carrier acceleration in airborne gravity measurement, 2015, Vol35(6), p923-926" discloses a method for dete...

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Embodiment Construction

[0034] The present invention will be further described in detail below in conjunction with the accompanying drawings and through specific embodiments. The following embodiments are only descriptive, not restrictive, and cannot limit the protection scope of the present invention.

[0035] A method for extracting vertical acceleration of high dynamic gravity measurement, comprising the following steps:

[0036] First, the mathematical model of an ideal differentiator for a uniformly sampled discrete-time signal is established, specifically:

[0037] Establish an ideal low-pass differentiator (LPDF) mathematical model, and the frequency response characteristics of LPDF are established as:

[0038]

[0039] where ω c is the cut-off circular frequency, ω c =απ, 0figure 1 The dashed line in is the amplitude-frequency characteristic of LPDF, which is a linear relationship in the passband, the dashed line is a low-pass differentiator with a certain stopband, and βπ is the stopban...