Optimum smoothing of aerial gravity measurements

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1967-03

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Ohio State University. Division of Geodetic Science

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Abstract

The smoothing of aerial gravimeter records is investigated theoretically using the theory of stationary stochastic processes (time series). Two methods of optimum filtering are considered: first, least-squares filtering, due to Norbert Wiener, where the r.m.s. error is minimized absolutely; and second, equal-spectrum filtering, where the r.m.s. error is minimized subject to the condition of least distortion as expressed by preservation of spectrum. The equal-spectrum method seems to be more appropriate for aerial gravimetry because of the high noise level and has a considerable practical advantage. Emphasis is on digital computation, for which practical formulas are given; analog computation by means of electric networks is outlined.

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Prepared for Air Force Cambridge Research Laboratories, Office of Aerospace Research, United States Air Force, Bedford, Massachusetts: Contract No. AF(628)-5701, Project 7600, Task No. 760002, 04

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