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Abstract
The use of a symmetrical moving weighted average of 2m + 1 terms to smooth equally spaced observations of a function of one variable does not yield smoothed values of the first m and the last m observations, unless additional data beyond the range of the original observations are available. By means of analogies to the Whittaker smoothing process and some related mathematical concepts, a natural method is developed for extending the smoothing to the extremities of the data as a single overall matrix-vector operation having a well defined structure, rather than as something extra grafted on at the ends. The matrix approach is shown to be equivalent to an extrapolation algorithm.
Sponsored by the United States Army under Contract No. DAAG-29-75-0024.
Sponsored by the United States Army under Contract No. DAAG-29-75-0024.
Notes
Sponsored by the United States Army under Contract No. DAAG-29-75-0024.