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不连续的四元数信号

[英]Incontinuous Quaternion Signals

I'm using a BNO055 IMU and I sometimes see "jumps" in the quaternion signals during the movement. 我使用的是BNO055 IMU,在运动过程中有时会在四元数信号中看到“跳跃”。 Is this normal? 这正常吗? Here's a sample plot. 这是一个示例图。 错误(!)四元数数据的样本图

The first plot is the scalar value and the rest are the three vector components. 第一个图是标量值,其余是三个向量分量。

I assumed this happens to Euler Angles but not in Quaternions. 我以为这是发生在欧拉角上,而不是发生在四元数上。 Is there something I'm missing? 有什么我想念的吗?

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0.52081 0.31836 0.66766 -0.42609
0.5199  0.31879 0.66864 -0.42542
0.5188  0.31927 0.66962 -0.4248
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0.51691 0.32043 0.67041 -0.42511
0.5155  0.32196 0.67017 -0.42603
0.51465 0.323   0.66992 -0.42664
0.51276 0.32538 0.66931 -0.42804
0.51068 0.32758 0.66882 -0.42957
0.50964 0.32849 0.66876 -0.4303
0.50793 0.32996 0.66876 -0.43115
0.50677 0.33093 0.66895 -0.43152
0.50629 0.33136 0.66907 -0.43158
0.50537 0.33209 0.66937 -0.43158
0.50452 0.33276 0.6698  -0.43146
0.50409 0.33307 0.66998 -0.43134
0.50336 0.3335  0.67059 -0.43091

Thanks 谢谢

As @minorlogic also wrote in their comment, these jumps occur near the circular limits of (0,2pi] or (-pi,pi] -- or, in terms of unit quaternions (being constructed as [cos(phi), sin(phi) * rotAxis] ), more appropriately in the range (-1,1] for each component. 正如@minorlogic在其评论中所写,这些跳跃发生在(0,2pi](-pi,pi]的圆形极限附近-或就单位四元数而言(被构造为[cos(phi), sin(phi) * rotAxis] ),更合适的是在每个组件的(-1,1]范围内。

Most IMUs however don't represent their orientation readings in a normalised fashion, though, but the normalisation factor(s) should be stated in the data sheet (as @daniel-wisehart mentioned in their comment). 但是,大多数IMU并不以标准化的方式表示其方向读数,但是标准化因子应在数据表中注明(如其评论中提到的@ daniel-wisehart)。 When applying these factors, you should obtain a quaternion representation with values between -1 and 1. These overflows will still be present, though, as these are basically a normalisation requirement (ie to keep the unit part of unit quaternions). 应用这些因子时,您应该获得一个四元数表示形式,其值介于-1和1之间。尽管如此,这些溢出仍然会存在,因为它们基本上是一个规范化要求(即保持单位四元数的单位部分)。

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