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1、nIMU - mIMUBias and Sensitivity Corrections of Magnetometers Revision 1888.668.8743MEMSENSE Utilization of MagnetometersIntroductionThe magnetoresistive sensors within the nIMU and mIMU units have been calibrated under a controlled magnetic environment to determine temperature corrections to their b

2、ias and sensitivity. Additional corrections will be necessary to the magnetometer output if these devices will be operated in an environment containing additional local magnetic fields.Calibration of the Magnetic SensorsThe Earth field is variable in both space and time. At a particular latitude, lo

3、ngitude, elevation, and time the field points in one direction. The entire field may be of interest or only the horizontal plane as is the casewith the traditional eight-point compass. Figure 1.0 shows the field componentsby a triaxialmagnetometer positions congruently with the main compass directio

4、ns. The traditional component of interest in eight-point compass systems is labeled here as H.Figure 1.0 Field components of the earth fieldxdue NorthHydue EastFzradially downMagnetometer OutputIf the magnetometers are used tothe earth field, and they are not under the influence of any localmagnetic

5、 fields, then output such as in Figure 2.0 may be produced by rotating the device 360 in a plane.In this case the device was rotated 360 about the Z axis with the X and Y axising the horizontal 0.28gauss ).earth field component ( HmaxPage 1MEMSENSE Figure 2.0 shows a trial without any magnetic noise

6、.Figure 3.0 shows a similar trial where a local magnetic field was introduced.Page 2Figure 2.0: Rotating in the horizontal plane with constant fieldFigure 3.0: Rotating in the horizontal planeNo noise presentWithout CorrectionsMEMSENSE Correction to the Magnetometer OutputCorrections to the output m

7、ay be calculated according to the following method:1) Data is collected as the device is rotated 360 under the conditions that produce the magnetic interference.2) The data is analyzed to produce bias offset and sensitivity scale factors to compensate for the interference.An example:The device is mo

8、unted to a steel bicycle being used for a new electronic athletic feedback system. A series of data sets are collected while the bike is ridden in a large circle multiple times.Theum output of the X and Y magnetometers is found from the data,= -0.284 gauss= -0.322gauss= +0.402gauss= 0.246gaussX minY

9、minX maxYmaxChoose one device to be scaled as one. It is beneficial to choose the device with the greater response for additional sensitivity. Since X has the greater response we set its scale factor to oneXs = 1 .For Y we find the scale factor= (X max - X min ) .Y(Y- Y)smaxminFor the bias offsets w

10、e use the followingXb = X (max - Y)- Y. 1s 2Yb = Y (Y 1s 2maxminmaxThese values are found for the bicycle:Xb = -0.059Yb = +0.046X s = 1.000Ys = 1.208 .Page 3MEMSENSE The corrected output is then= Xin - 0.059X out= 1.208Yin + 0.046YoutTransient fieldsTransient fields introduce many more complexities

11、into the correction process. The presence of electric motors or servos cycling up to speed or slowing down will bring challenges to the correction of the magnetometers. It is best to increase the distance between the magnetometers and any source of transientfields to theum possible.SummaryMost applications using a magnetic sensor for determining the earth field mustfor local magneticinterfere

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