Improved piecewise orthogonal signal correction algorithm
Robert N Feudale1, Huwei Tan, Steven D Brown
1Chemometrics Research Group, Department of Chemistry and Biochemistry, University of Delaware, Newark, Delaware 19716, USA.
Abstract:
Piecewise orthogonal signal correction (POSC), an algorithm that performs local orthogonal filtering, was recently developed to process spectral signals. POSC was shown to improve partial leastsquares regression models over models built with conventional OSC. However, rank deficiencies within the POSC algorithm lead to artifacts in the filtered spectra when removing two or more POSC components. Thus, an updated OSC algorithm for use with the piecewise procedure is reported. It will be demonstrated how the mathematics of this updated OSC algorithm were derived from the previous version and why some OSC versions may not be as appropriate to use with the piecewise modeling procedure as the algorithm reported here.
Related Concept Videos
Reconstruction of Signal using Interpolation
Linear Approximation in Frequency Domain
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear.
Linear Approximation in Time Domain
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length, the...
Distance Corrections
Even and Odd Signals
Vector Algebra: Method of Components
In many applications, the magnitudes and directions of...

