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waltjohnson committed Nov 12, 2024
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8 changes: 3 additions & 5 deletions docs/user-manual/reference/imu_specifications.md
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Expand Up @@ -10,11 +10,9 @@ Given IMU specifications for the **IMX-5**:
- **Accelerometer Velocity Random Walk (VRW)**: \(0.02 \, \text{m/s} / \sqrt{\text{hr}}\)
- **Sampling Rate**: 100 Hz (which corresponds to a time interval, \(\Delta t\), of \(0.01\) seconds)

Since the random walk values are given per \(\sqrt{\text{hr}}\), we need to convert from hours to seconds.
### Time Conversion Factor

### Conversion Factor

1 hour is 3600 seconds, so:
Since the random walk values are given per \(\sqrt{\text{hr}}\), we need to convert from hours to seconds. 1 hour is 3600 seconds, so:
\[
\text{1 hr} = 3600 \, \text{s} \Rightarrow \sqrt{\text{1 hr}} = \sqrt{3600} = 60 \, \text{s}^{1/2}
\]
Expand Down Expand Up @@ -69,4 +67,4 @@ Thus, the **accelerometer noise standard deviation in terms of acceleration at 1
- **Velocity Drift Standard Deviation at 100 Hz**: **0.0000333 m/s**
- **Acceleration Noise Standard Deviation at 100 Hz**: **0.00333 m/s²**

These values represent the Gaussian noise standard deviations for each sensor at the 100 Hz sampling rate, with the correct conversion from hours to seconds and the updated equation terminology.
These values represent the Gaussian noise standard deviations for each sensor at 100 Hz sampling rate.

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