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I'm a computer engineer with a long lost basic electrical and control theory engineering background. I needed a C++ Kalman filter library. Looking around I found many implementations for simple specific practical problems, some published papers for larger and complex problems, but few generalized libraries in modern C++. So I made one for the classical filter form.
Here is an example of a derivation of an inertial navigation EKF in sympy: https://github.com/jschall/pyEKF
and in Matlab: https://github.com/priseborough/inertialnav
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