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Eric Y. Hsiao University of Victoria. k-corrections and spectroscopic diversity of SNe Ia. k-corrections of SNe Ia. converts an observed magnitude to that which would be observed in the rest frame in another filter usually depends on an assumed spectral distribution (spectral template)
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Eric Y. Hsiao University of Victoria k-corrections and spectroscopic diversity of SNe Ia
k-corrections of SNe Ia • converts an observed magnitude to that which would be observed in the rest frame in another filter • usually depends on an assumed spectral distribution (spectral template) • spectroscopic diversity causes k-correction errors
spectral templateprocedures • quantify the feature strengths of the library spectra • determine the weighted mean feature strength at each epoch and wavelength • adjust a base spectral template to the weighted mean feature strengths Hsiao et al. 2007 ApJ, 663, 1187
principal component analysis • PCA reduces multi-dimensional data into principal components • first component is the vector pointing toward the direction of the highest variance in the multi-dimensional data space • rest of the components are orthogonal vectors ranked by their variances