Parameters estimation of navigation signals within the theory of information geometry

Аuthors

Latyshev V. V.

Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

e-mail: lvv@mai.ru

Abstract

The main concepts of differential geometry are considered. It is shown how the choice of coordinate system naturally leads to the coordinates being estimates of parameters of exponential family of density probability distributions. The orthogonal decomposition of the observable data is considered, allowing to reduce dimension of the space of observations and at the same time to keep amount of Fisher’s information on estimated parameters. The results of numerical modeling of procedure of reduction of dimension for a signal in the form of Gold's 7-bit code are presented. The time delay and Doppler shift are considered as the parameters.

Keywords:

fisher’s information; signal parameter estimation; information metrics; affine connections; duality

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