SPECTRAL MODIFICATION BY OBJECTIVE ANALYSIS1

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Abstract
The power transfer function for the objective analysis of scalar fields by linear interpolation is determined with a simple statistical model of the data distribution. The method of successive corrections is used in a computational verification of the result. It is shown that the spectral filtering by interpolation is due to distance-dependent weighting and discrete sampling. True spectra can be inferred from interpolated waves that are long with respect to average sampling interval.

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