Scaling method by using symmetrical middle-point slope...

Details Scaling method by using symmetrical middle-point slope... Scaling method by using symmetrical middle-point slope...

2006-11-28

2006-11-28

Ngo, Chuong D. (Department: 2193)

Electrical computers: arithmetic processing and calculating

Electrical digital calculating computer

Particular function performed

C708S313000

Reexamination Certificate

active

07143127

ABSTRACT:
A method is for scaling data from a source data to a destination data, wherein a function f(x) is determined to describe the destination data, in which x is a deviation from a current reference point0. Two source data of f(0) and f(1) with respect to the point0and the point1are used as reference data. The method is performed by setting an initial condition about a primary slope D =f(1)−f(0), f(0.5)=[f(1)+f(0)]/2, a gain factor G>1, and f′(0.5)=DG=[f(1)−f(0)]G The f(x) is taken by a quadratic equation of f(x)=ax2+bx+c, which should pass f(0), f(1), f(0.5) and satisfy the slope of f′(0.5). Coefficients of a, b, and, c, are respectively solved in two ranges of 0≦x<0.5 and 0.5≦x<1, so as to obtain the function f(x) being about symmetric to the middle point at 0.5. The same procedure is applied for a next source data. Preferably, the function is symmetric to the middle point at (0.5, f(0.5)). Also and, a Z transformation of Z(z)=X(x)−0.5 is applied to reduce the calculation load by mapping the one range to the other one range.

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patent: 6539128 (2003-03-01), Lee et al.

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