139  Lesson 1.3.7: Where to from here?

Kalman Filter Boot Camp (and State Estimation)

In this lesson, we will learn a neat trick to compute the discrete-time noise covariance from the continuous-time noise covariance and the plant dynamics.
Probability and Statistics
Published

February 26, 2027

Keywords

Kalman Filter, state estimation, linear algebra

139.1 Summary of this week

  • Congratulations for making it this far! The most rigorous topics of the boot camp are now complete!
    • This past week, we devoted our attention to strengthening your skills relating to random variables.
    • You learned how we will quantify randomness via mean and covariance.
    • You learned about ways to understand joint uncertainty of two random variables.
    • You learned about time-varying random variables—stochastic processes.
    • You learned how to simulate correlated random variables.
    • You learned about discrete- and continuous-time systems having random inputs.- Finally, you learned how to convert a continuous-time model having random inputs into an equivalent discrete-time model.

139.2 Where to from here?

orientation

orientation
  • The final week of each course in this specialization focuses on a specific application of KF.
  • In this course, we examine KF for generic state estimation applied to a linear model.
    • In future courses, we will investigate applications of target tracking, parameter estimation, and navigation.
  • Next week, you will first learn the actual specific steps that a KF must implement.
  • Then, you will see how to implement them in Octave code. You will see more detail regarding defining a simulation model, and how to set up a simulation.
  • You will learn how to evaluate the output of a KF.