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Applied Spectroscopy

Applied Spectroscopy

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  • Vol. 57, Iss. 10 — Oct. 1, 2003
  • pp: 1201–1206

Improved Piecewise Orthogonal Signal Correction Algorithm

Robert N. Feudale, Huwei Tan, and Steven D. Brown

Applied Spectroscopy, Vol. 57, Issue 10, pp. 1201-1206 (2003)


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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.

Citation
Robert N. Feudale, Huwei Tan, and Steven D. Brown, "Improved Piecewise Orthogonal Signal Correction Algorithm," Appl. Spectrosc. 57, 1201-1206 (2003)
http://www.opticsinfobase.org/as/abstract.cfm?URI=as-57-10-1201

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