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shalabymhd committed Nov 11, 2024
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2 changes: 1 addition & 1 deletion docs/examples/ekf/index.md
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# Extended Kalman Filter (EKF) Examples - Overview
# Extended Kalman Filter (EKF) Examples

The following examples demonstrate the usage of the MILUV dataset with the Extended Kalman Filter (EKF) for state estimation. We show EKF examples that use IMU for state propagation and UWB for state correction in single- and multi-robot scenarios. We also show EKF examples that use Visual-Inertial Navigation System (VINS) output for state propagation in a loosely-coupled manner, alongside UWB for state correction in single- and multi-robot scenarios.

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2 changes: 2 additions & 0 deletions docs/examples/ekf/se23_one_robot.md
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# $SE_2(3)$ EKF with IMU - One Robot

![The setup for the one-robot IMU EKF](https://decargroup.github.io/miluv/assets/one_robot.png)

This example shows how we can use MILUV to test out an Extended Kalman Filter (EKF) for a single robot using an Inertial Measurement Unit (IMU). The derivations here are a little bit more involved than the [VINS EKF example](https://decargroup.github.io/miluv/examples/ekf/se3_one_robot.html), but we'll show that the EKF implementation is still straightforward using the MILUV devkit. Nonetheless, we suggest looking at the VINS example first before proceeding with this one. In this example, we will use the following data:
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2 changes: 2 additions & 0 deletions docs/examples/ekf/se23_three_robot.md
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# $SE_2(3)$ EKF with IMU - Three Robots

![The setup for the three-robot IMU EKF](https://decargroup.github.io/miluv/assets/three_robots.png)

This example shows how we can use MILUV to test out an Extended Kalman Filter (EKF) for three robots using Inertial Measurement Units (IMUs). This extends the [one-robot IMU example](https://decargroup.github.io/miluv/examples/ekf/se23_one_robot.html) to three robots, in the same manner we extended the [one-robot VINS example](https://decargroup.github.io/miluv/examples/ekf/se3_one_robot.html) to [three robots](https://decargroup.github.io/miluv/examples/ekf/se3_three_robot.html). We will keep this example brief as it is not much different than what we have seen before. The data we use is the same as the one-robot example, but now we also use the inter-robot UWB range data to estimate the poses and IMU biases of all the robots.
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