Discrete Time Kalman Filter

Version 31.0.9 (454 KB) by David
Pedagogical Derivation of the Kalman Filter
36 Downloads
Updated 13 Feb 2026

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Kalman filter view as model prediction with Bayesian update. Discussion of covariance update and congruence transformations

Cite As

David (2026). Discrete Time Kalman Filter (https://in.mathworks.com/matlabcentral/fileexchange/182789-discrete-time-kalman-filter), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2025b
Compatible with any release
Platform Compatibility
Windows macOS Linux
Version Published Release Notes
31.0.9

Fix: remove confusing mention of standard for m at the end of the Joseph form section

31.0.8

feedback: Added note of symmetry/positive definiteness preservation of P

31.0.7

change confidence to credibility intervals to fit Bayesian perspective

31.0.6

document restructure

31.0.5

Add ricatti map visualisation

31.0.4

Added kalman smoothing numerical simulation

31.0.2

add conceptual note on observation step - link to conditioning Gaussian

1.0.2

Placeholder image update

1.0.1

Added Kalman Gain derivation

1.0.0