Data smoothing
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[0012]In order to explain the invention, this description begins with more detailed information about the method of data smoothing using exponentially weighted moving average technique, emphasizing the points causing drawbacks of the method.
[0013]In the most general case, an exponentially weighted moving average is calculated according, to the equation
a(i)=a(i−1)*w+x(i)*(1−w),
where i is an index of the value of the input value array, 0≤i
[0014]The said method results in partial transfer of the input data in the smoothing direction, i.e. in the direction of output values. This is because the exponentially weighted moving, average is calculated recursively, i.e. each new smoothed value a(i) is calculated as a weighted average of the current input value x(i) and the smoothed value a(i−1). Here, the subsequent input values have no effect on smoothing, therefore, smoothing is asymmetrical. The first input value x(0) is not smoothed since there is no smoothed va...
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