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Unscented Kalman Filter
Example Based
Content
● Simple Conception of UKF
● Example Based UKF
● Real World Example
Handling
Linear / Non-Linear
Transformation
theta….???
EKF - Linearization, Jacobian
EKF의 단점
● Linearized Mean/Cov != Nonlinear Mean/Cov
● Jacobian 계산이 너무 오래 걸림 - Stink!!
● 너무 복잡한 model, 미분할 수 없는 수식이 들어간 모델에
취약
Stink!
Unscented Kalman Filter
and Sigma Points
● How pick points
● How many points
● After then...
Example Based UKF
https://www.tesla.com/autopilot
Example - CTRV Model
Generate Sigma Points - 2D
Generate Sigma Points
- CTRV Model
Generate Sigma Points
Effect of Design parameter
Various Form...
Take account process noise
Kalman Filter에서는…
http://campar.in.tum.de/Chair/KalmanFilter
Augmentation
Sigma Points with Augmentation
Predict Sigma Points
Based on State Model
http://campar.in.tum.de/Chair/KalmanFilter
Example...
Predict Mean and Covariance
Recap
Predict Measurement
5 state
=> 7 * 15 matrix (augmented)
=> 5 * 15 matrix & new mean/cov (predict)
=> 3 * 15 (projection to measurement space)
=> calc mean & cov again
Update State
Process Noise…???
● The process noise is usually treated as a tuning parameter to adjust
the gain of the Kalman filter to smooth either more or less the data.
● want to respond quickly to changes. => Upper Process Noise
Real World Example
EKF/UKF in Localization
https://github.com/kimsooyoung/AI_KR_KF_Examples
Odometry & Sensor Fusion
https://github.com/udacity/robot_pose_ekf
https://www.researchgate.net/figure/Paramet
● robot_pose_ekf => deprecated
● robot_localization
Q & A
Reference
● The UKF exposed: How it works, when it works and when
it's better to sample
● Udacity - Sensor Fusion Nanodegree
● cra-ros-pkg/robot_localization
Thank you :)

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