Patent ID: 8412468
Filing Date: 2013-04-02
Classification: G01N,G06F

Abstract:
1. A method of pre-filtering and analyzing spectral data for the detection of elemental signatures in an interrogated object using multi-wavelet filters implemented on a computer having memory and one or more processors, comprising: electronically receiving into said memory data of gamma ray counts obtained from bombardment of an interrogated object; pre-filtering, utilizing said one or more processors, said data of gamma ray counts in order to maintain polynomial order using a quasi-interpolation pre-filter, said pre-filtering converting said data into pre-filtered signal data; generating, utilizing said one or more processors, an orthogonal scaling vector Φ=(φ wherein g i represents matrix coefficients of said orthogonal scaling vector Φ, wherein i is a counter of a summation and represents whole numbers from −2 to 1, inclusive, and wherein x is an independent variable and represents real numbers, and having left boundary functions for φ 1 and φ 2 defined by: and right boundary functions for φ 1 and φ 2 defined by: constructing, utilizing said one or more processors, a multi-wavelet Ψ=(ψ wherein h i represents matrix coefficients of Ψ, said multi-wavelet elements ψ 1 and ψ 2 having a left boundary dilation equation defined by: and a right boundary dilation equation defined by: interpolating, utilizing said one or more processors, said multi-wavelet Ψ for comparison with an elemental database to identify elements and element concentrations in said interrogated object.