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Method and apparatus for characterizing the unknown state of a physical system

  • US 4,570,225 A
  • Filed: 07/22/1983
  • Issued: 02/11/1986
  • Est. Priority Date: 07/22/1983
  • Status: Expired due to Term
First Claim
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1. A machine implemented method for characterizing an unknown state of a physical system with reference to like physical systems in a known state comprising the steps of:

  • obtaining with suitable detecting means a time-varying data signal characteristic of a state of interest from each of a large plurality of physical systems in the known state which are similar to the physical system being characterized;

    subjecting each of said time-varying data signals to a non-linear coordinate transformation comprising taking a normalized first intergral of an absolute value of each said time-varying data signals, subtracting a predetermined function from said intergral, and converting said difference to polar coordinates;

    constructing a standard signature template representative of the known state from a composite of said transformed data signals, said standard signature template including a primary signature comprising a closed multi-dimensional region within said polar coordinate system having an inner boundary and an outer boundary, and a secondary signature comprising at least one isocline disposed within said region;

    plotting said standard signature template using plotting means;

    obtaining with said suitable measuring means at least one time-varying data signal characteristic of said state of interest from the physical system being characterized;

    subjecting said at least one time-varying data signal to said non-linear coordinate transformation to obtain at least one response signature representative of the unknown state;

    plotting said at least one response signature over said standard signature template using said plotting means;

    determining whether the system being characterized is in the known state by comparing said at least one response signature plot to the standard signature template by determining whether said at least one response signature plot lies wholly within said closed multi-dimensional region, and whether said at least one response signature plot crosses any of said isoclines situated within said closed multi-dimensional region;

    indicating the physical system being characterized as being in the known state if said at least one response signature plot lies wholly within said closed multi-dimensional region and does not cross any of said isoclines situated within said closed region, and if the system being characterized is not in the known state,evaluating the relative degree of departure of the system being characterized from the known state.

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