SPECTRAL MODIFICATION BY OBJECTIVE ANALYSIS

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  • 1 The Florida State University, Tallahassee, Fla.
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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.

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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