On Some Aspects of Omega Windfinding

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  • 1 National Center for Atmospheric Research, Boulder, Colo. 80303
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Abstract

A generalized hyperbolic navigation system using Omega signals is defined. For three stations this system is shown to be equivalent to the ordinary hyperbolic navigation system. It is shown that the velocity and position determination are independent of the station selected to be the common station. Furthermore, a formula is given to combine several estimates of the wind vector into a single optimum estimate. The efficiency of using three frequencies instead of a single frequency to derive the wind vector is derived.

Abstract

A generalized hyperbolic navigation system using Omega signals is defined. For three stations this system is shown to be equivalent to the ordinary hyperbolic navigation system. It is shown that the velocity and position determination are independent of the station selected to be the common station. Furthermore, a formula is given to combine several estimates of the wind vector into a single optimum estimate. The efficiency of using three frequencies instead of a single frequency to derive the wind vector is derived.

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