Accession Number:

AD0287562

Title:

PARAMETER ESTIMATION THEORY AND SOME APPLICATIONS OF THE THEORY TO RADAR MEASUREMENTS

Descriptive Note:

Technical Report

Corporate Author:

MITRE CORP BEDFORD MA BEDFORD United States

Personal Author(s):

Report Date:

1960-04-01

Pagination or Media Count:

18.0

Abstract:

The general theory of parameter estimation is developed using the inverse probability approach. Where the measurements are perturbed by additive Gaussian noise and when the received information is sufficient to determine the parameters of interest rather accurately, it is shown that an optimum method of processing redundant data based on the maximum likelihood approach reduces approximately to the solution of k nonlinear equations in the k unknown parameters. An expression is derived for the resulting error moment matrix of the parameters. It is shown that this same moment matrix for a minimum variance estimate is obtained by using results derived by Cramer. The theory is illustrated by applying it to several radar measurement problems of interest.

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE