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Physical quantity analyzing method and apparatus thereof

  • US 5,646,868 A
  • Filed: 05/04/1995
  • Issued: 07/08/1997
  • Est. Priority Date: 06/03/1993
  • Status: Expired due to Term
First Claim
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1. A physical quantity analyzing method for determining a physical quantity for an unknown physical source in a physical system, which physical quantity ui has a relationship with an expected physical Oj at an arbitrary observation position j based on a constant α

  • ij given by the equation;

    ##EQU78## for the method comprising the steps of;

    determining a provisional physical quantity value ui for each of a plurality of individual physical sources i in a physical system,calculating an expected physical quantity value Oj based on a constant α

    ij and carrying out equation (1) for each provisional physical quantity value,measuring a known physical quantity value Sj for each arbitrary observation point j,determining determined physical quantity values which minimize a sum of a square of a difference between the expected physical quantity value Oj and corresponding known physical quantity value Sj, both Oj and Sj are for an arbitrary observation point j,repeating calculation of the difference and determination of the determined physical quantity values for each physical source based on the difference and a previously determined physical quantity values,iteratively repeating the calculation of the difference and the determination of the determined physical quantity value for each physical source until a sum of the square of the difference becomes smaller than a predetermined threshold value, andemploying the determined physical quantity values which are finally obtained as the physical quantity value ui for each physical source.

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