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Tag Archives: Statistics
Implementing the GaussNewton Algorithm for Sphere Fitting (3 of 3)
The first post in this series made it clear that the major computational and storage costs to implementing the GaussNewton algorithm come in computing the matrices and . By carefully avoiding materialization of the Jacobian matrix and the residual vector, … Continue reading
Posted in Mathematics
Tagged Accelerometer, ADXL335, ADXL345, Arduino, Calibration, Gauss–Newton algorithm, HMC5843, Magnetometer, muCSense, Sensor, Statistics
4 Comments
Implementing the GaussNewton Algorithm for Sphere Fitting (2 of 3)
I sketched a naïve implementation of the GaussNewton algorithm for sphere fitting, and provided an implementation in Octave. While it works fine on a laptop, it uses far too much memory to handle more than a handful of calibration samples … Continue reading
Posted in Mathematics
Tagged Accelerometer, ADXL335, Arduino, Calibration, Gauss–Newton algorithm, Magnetometer, muCSense, Statistics
2 Comments
Implementing the GaussNewton Algorithm for Sphere Fitting (1 of 3)
In some calibration strategies we encounter a sphere fitting problem: we need to find the map that does the best job sending the observed data to a unit sphere. This simple problem statement leaves two critical questions unanswered. What family … Continue reading
Posted in Mathematics
Tagged Accelerometer, Arduino, Calibration, Gauss–Newton algorithm, Magnetometer, muCSense, Statistics
2 Comments
Accelerometer Calibration IV.1: Implementing GaussNewton on an ATMEGA
This is the third post in a series. Introduction Simple Methods LeastSquares and Gauss Newton Implementing GaussNewton on an ATMEGA (this post) Error Analysis ? Quick Summary This post is short on explanations, I just wanted to something a … Continue reading
Posted in Electronics, How To
Tagged Accelerometer, ADXL335, Arduino, Calibration, Gauss–Newton algorithm, Sensor, Statistics
13 Comments
Accelerometer Calibration III: Improving Accuracy With LeastSquares and the GaussNewton Method
This is the third post in a series. Introduction Simple Methods LeastSquares and Gauss Newton Streaming GaussNewton on an ATMEGA Error Analysis ? In the last post we looked at some simple calibration methods and they didn’t seem to … Continue reading
Posted in Electronics
Tagged Accelerometer, ADXL335, Arduino, Calibration, Gauss–Newton algorithm, Sensor, Statistics
18 Comments