Monday, February 16, 2015
Tuesday, February 10, 2015
Kalman-Bucy filtering
A great introduction to the derivation and application:
http://www.academia.edu/1512888/Introduction_to_the_Kalman_Filter_and_its_Derivation
Related Math:
http://math.stackexchange.com/questions/622195/taking-a-derivative-with-respect-to-a-matrix
http://www.academia.edu/1512888/Introduction_to_the_Kalman_Filter_and_its_Derivation
Related Math:
http://math.stackexchange.com/questions/622195/taking-a-derivative-with-respect-to-a-matrix
EMD and Hilbert-Huang Transform
Original Paper:
http://tec.earth.sinica.edu.tw/research/report/paper/20070711HHT.pdf
A related gait study using emd applied to gyroscope data:
http://tec.earth.sinica.edu.tw/research/report/paper/20070711HHT.pdf
A related gait study using emd applied to gyroscope data:
"Integration of Human Walking Gyroscopic Data Using Empirical Mode Decomposition" http://www.mdpi.com/1424-8220/14/1/370
A comparison of EMD and Wavelets (and the fusion of both) in data analysis:
http://www.arpapress.com/volumes/vol11issue3/ijrras_11_3_16.pdf
Madgwick and Mahoney Filter
Madgwick Filter
http://www.x-io.co.uk/res/doc/madgwick_internal_report.pdf
Mahoney Filter in the context of modern filtering approaches
http://arxiv.org/pdf/1110.0274.pdf
Mahoney's complete filter:
https://hal-unice.archives-ouvertes.fr/hal-00488376/document
http://www.x-io.co.uk/res/doc/madgwick_internal_report.pdf
Mahoney Filter in the context of modern filtering approaches
http://arxiv.org/pdf/1110.0274.pdf
Mahoney's complete filter:
https://hal-unice.archives-ouvertes.fr/hal-00488376/document
Quaternion (Background) and interpolation
This is a good source on the basics of quaternion math and interpolation:
http://www.geometrictools.com/Documentation/Quaternions.pdf
An interesting paper on "Spherical Averages and Applications to Spherical Splines and Interpolation"
http://www.math.ucsd.edu/~sbuss/ResearchWeb/spheremean/paper.pdf
http://www.geometrictools.com/Documentation/Quaternions.pdf
An interesting paper on "Spherical Averages and Applications to Spherical Splines and Interpolation"
http://www.math.ucsd.edu/~sbuss/ResearchWeb/spheremean/paper.pdf
Wavelets (Background)
Overview and general approach:
http://www.eecis.udel.edu/~amer/CISC651/IEEEwavelet.pdf
For in-depth treatment of wavelets, I have checked out the following book from ksl and have made significant progress:
http://www.eecis.udel.edu/~amer/CISC651/IEEEwavelet.pdf
For in-depth treatment of wavelets, I have checked out the following book from ksl and have made significant progress:
Computational signal processing with wavelets
ROS and UbuntuARM links
In order to install UbuntuARM on the Beaglebone Black we hope to use for recording, I have found several helpful links to decide: which version of UbuntuARM to use, which versions UbuntuARM are compatible with which versions of ROS, and lastly some already made nodes to record from the MPU 6050.
http://beagleboard.org/getting-started
https://github.com/ggallin08/crwucutter_core_bbb
http://wiki.ros.org/indigo/Installation/UbuntuARM
http://wiki.ros.org/hydro/Installation/UbuntuARM
http://beagleboard.org/getting-started
https://github.com/ggallin08/crwucutter_core_bbb
http://wiki.ros.org/indigo/Installation/UbuntuARM
http://wiki.ros.org/hydro/Installation/UbuntuARM
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