Beyond the Kalman Filter I: Extended Kalman Filter

The extended Kalman filter with an application to position estimation

February 16, 2023 · 6 min · Pantelis Sopasakis

The Kalman Filter VIII: QR-based square root form

Square root form of the Kalman filter

February 13, 2023 · 7 min · Pantelis Sopasakis

The Kalman Filter VII: Recursive maximum a posteriori

We show that the Kalman filter is a recursive maximum a posteriori estimator. This

February 9, 2023 · 9 min · Pantelis Sopasakis

The Kalman Filter VI: Further examples

Further examples using the Kalman filter in Python

February 6, 2023 · 7 min · Pantelis Sopasakis

The Kalman Filter IV: Application to position estimation

We use the Kalman filter to estimate the position of a vehicle by fusing tachometer and GPS sensor data

February 3, 2023 · 3 min · Pantelis Sopasakis

The Kalman Filter III: Measurement and time updates

We derive the measurement and update steps of the Kalman filter

February 2, 2023 · 7 min · Pantelis Sopasakis

The Kalman Filter I: The Gauss-Markov model

We present the Gauss-Markov Model, thus taking our first step towards understanding the Kalman filter

January 30, 2023 · 4 min · Pantelis Sopasakis

Estimation theory lecture notes

Lecture note on estimation theory

August 19, 2022 · 1 min · Pantelis Sopasakis

Kalman Filter Video Lectures

A series of 13 video lectures on the Kalman Filter

August 19, 2022 · 1 min · Pantelis Sopasakis