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Abstract

A unique data processing method and a fuzzy smoothing filter are disclosed which employ a three-dimensional elliptic membership function based on the fuzzy logic to remove noises from data including a sequence of measured points for evaluating the linearity of the measured points. The evaluation is carried out by superimposing the center of an ellipse represented by an elliptic membership function on a substantial central portion of inputted data, evaluating a factor representing the linearity of the inputted data by summing the degrees of membership derived at respective inputted data, calculating the ratio of the factor to a factor representing an ideal linearity of the inputted data, rotating the ellipse by a predetermined angular distance to derive the ratio at that position, repeating the rotating step until the peak is found, and determining the ratio when the peak is found as the linearity of the inputted data. The fuzzy smoothing filter is comprised of a data input for inputting data to be smoothed, a multi-dimensional membership function generator for calculating a degree of membership for the inputted data, a calculator for deriving an angle of the data and calculating the linearity of the data, smoothing processors coupled to receive the angle and the linearity of the data from the calculator for executing a smoothing operation in a plurality of modes, a selector for selecting one mode from among the plurality of smoothing modes, and a store for holding smoothing filter parameters supplied to the calculator and the selector.

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