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Recursive cosine transform method for plane geomagnetic anomalous field one-step upward continuation plane modulus gradient field

A technology of geomagnetic anomaly and modulus gradient, applied in special data processing applications, complex mathematical operations, instruments, etc., can solve the problem of increasing high-frequency components, etc., and achieve the effect of simplified steps, small calculation amount, and reduced calculation amount

Active Publication Date: 2017-10-24
HARBIN ENG UNIV
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Problems solved by technology

Therefore, using Fourier transform for potential field continuation or conversion will form a jump at the boundary, increasing the high-frequency component and forming the Gibbs boundary effect

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  • Recursive cosine transform method for plane geomagnetic anomalous field one-step upward continuation plane modulus gradient field
  • Recursive cosine transform method for plane geomagnetic anomalous field one-step upward continuation plane modulus gradient field
  • Recursive cosine transform method for plane geomagnetic anomalous field one-step upward continuation plane modulus gradient field

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Embodiment Construction

[0024] The present invention is described in detail below in conjunction with accompanying drawing example:

[0025] Step 1. Preprocessing of the measured data of the plane geomagnetic anomaly field. Set the reasonable range of measurement error and geomagnetic anomaly value, and remove the coarse error data of the geomagnetic anomaly field measurement data on the observation plane that exceeds this reasonable range.

[0026] Step 2. Grid processing of the measured data of the planar geomagnetic anomaly field. Gridding parameters are selected, and the radial basis function interpolation method is used to grid the discrete geomagnetic anomaly field measurement data on the observation plane to obtain gridded geomagnetic anomaly measurement data.

[0027] The radial basis function interpolation method is a high-precision interpolation method, which is suitable for interpolation calculation of a large number of point data, has high prediction accuracy, and can better reflect chan...

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Abstract

The invention provides a recursive cosine transform method for plane geomagnetic anomalous field one-step upward continuation plane modulus gradient field. Plane geomagnetic anomalous field measurement data is preprocessed; the geomagnetic anomalous field measurement data irregularly and discretely distributed on an observation plane is gridded through utilization of a radial primary function interpolation method, thereby obtaining gridded geomagnetic anomalous measurement data; the gridded geomagnetic anomalous measurement data is transformed into cosine transform wave spectrums through utilization of recursive cosine transform; the wave spectrum of each component of a geomagnetic modulus gradient field is calculated according to the geomagnetic cosine transform wave spectrums through utilization of a one-step wave number domain transform factor; and recursive inverse cosine transform of line direction phase shift Pi / 2 is carried out on the wave spectrums of a horizontal x component, a horizontal y component and a vertical z component, thereby obtaining the components of the geomagnetic modulus gradient field on a continuation plane. According to the one-step method provided by the invention, the calculation quantity is half of the calculation quantity of a two-step method; through utilization of the cosine transform method, the Gibbs edge effect is reduced, and algorithm precision is improved; and the method can be applied to a data sequence with any length.

Description

technical field [0001] The invention relates to a geomagnetic potential field data processing method, in particular to a recursive cosine transformation method for extending a plane modulus gradient field upward in one step for a plane geomagnetic anomaly field. Background technique [0002] Geomagnetic continuation is an important geomagnetic potential field data processing method, which has important applications in geomagnetic matching and positioning, geomagnetic observation and data interpretation. The geomagnetic reference map is the data basis for geomagnetic matching and positioning. In order to perform geomagnetic matching and positioning, it is generally necessary to obtain a geomagnetic reference map on the navigation depth plane. The sailing altitudes of different aircraft are different, and it is unrealistic to obtain the geomagnetic data at each sailing altitude by direct measurement. Most of the large-area geomagnetic measurements are geomagnetic anomalous f...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/14
CPCG06F17/147
Inventor 黄玉武立华吕振川齐瑞云
Owner HARBIN ENG UNIV
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