ECEA 5851 Kalman Filter Deep Dive and Target-Tracking Application

2nd course in the Applied Kalman Filtering.

Instructor: Greg Plett,ÌýPhD, Professor

As a follow-on course to "Kalman Filter Boot Camp", this course derives the steps of the linear Kalman filter to give understanding regarding how to adjust the method to applications that violate the standard assumptions. Applies this understanding to enhancing the robustness of the filter and to extend to applications including prediction and smoothing. Shows how to implement a target-tracking application in Octave code using an interacting multiple-model Kalman filter.

Prior knowledge needed: ECEA 5850 Kalman-Filter Boot Camp and State-Estimation Application

Learning Outcomes

  • Compute the gain values for a steady-state alpha-beta Kalman filter.
  • Implement an IMM Kalman filter and interpret its outputs.
  • Understand the operation and variables of the interacting multiple model Kalman filter.
  • Convert noisy polar measurements to unbiased Cartesian estimates.
  • Initialize the state of a target track for the NCV model.
  • Compute the centroid of exceedances in a frame of target data.

Syllabus

Duration: 5Ìýhours

Knowing how to derive the steps of the Kalman filter is important for understanding the assumptions that are made and to be able to re-derive the steps for different assumptions. This week, you will learn how to derive the steps and will gain insight into how the Kalman filter works.

Duration: 6Ìýhours

Last week, you learned the assumptions made when deriving the Kalman filter. What if these assumptions are not met correctly? What if numeric roundoff error causes failure? This week, you will learn how to solve problems with the standard Kalman filter.

Duration: 6Ìýhours

The standard linear Kalman filter works well for state estimation, but can be extended to implement prediction and smoothing as well. Further, we can speed up the steps or even eliminate steps in some circumstances. This week, you will learn some extensions and refinements to linear Kalman filters.

Duration: 5Ìýhours

A popular application of Kalman filters is to track (usually non-cooperating) targets. This week, you will learn how to implement standard and specialized Kalman filters suited for target tracking.

Duration: 2Ìýhours

This module contains materials for the proctored final exam for MS-EE degree students. If you've upgraded to the for-credit version of this course, please make sure you review the additional for-credit materials in the Introductory module and anywhere else they may be found.

To learn about ProctorU's exam proctoring, system test links, and privacy policy, visitÌýwww.colorado.edu/ecee/online-masters/current-students/proctoru.

Grading

Assignment
Percentage of Grade
Graded Assignment: Graded assignment for week 112.5%
Graded Assignment: Graded assignment for week 212.5%
Graded Assignment: Graded assignment for week 312.5%
Graded Assignment: Graded assignment for week 412.5%
Graded Assignment: ECEA 5851 Linear Kalman Filter Deep Dive final exam50%

Letter Grade Rubric

Letter GradeÌý
Minimum Percentage
A93.3%
A-90%
B+86.6%
B83.3%
B-80%
C+76.6%
C73.3%
C-70%
D+66.6%
D60%
F0