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Full Spectrum Matching Method
This is the industry standard algorithm for performing library data searches. The Euclidean Distance of an unknown to a library entry is effectively a normalized least squares dot product on the unknown:
Where Lib is the library entry being searched and Unkn is the unknown spectrum. This formula gives the best match at distance of 0 (Lib = Unkn) and the worst at distance of or 1.41421. These values correspond to the values returned by the Full Spectrum search of many commercial search programs which use the GIFTS baseline data reduction and the Euclidean Distance search algorithm. Spectral regions to be excluded from the calculation by setting the corresponding values in the Lib and Unkn to zero. | 
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