Accession Number:

AD0608987

Title:

ANALYTIC SOLUTION FOR STATISTICAL PROPERTIES OF ANTENNA GAIN PATTERNS PERTURBED BY LARGE PHASE ERRORS,

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CALIF

Personal Author(s):

Report Date:

1964-12-01

Pagination or Media Count:

32.0

Abstract:

The analysis considers the effect of large random phase errors on the antenna pattern of a focused synthetic linear array. Statistical features of the gain pattern such as the moments and probability distribution are derived analytically for certain special cases but with no restriction on the size of the phase error, so that the results obtained can be used as a partial substitution and guide for the Monte Carlo technique. One special case considered is when the phase error vector has a multidimensional normal probability distribution with known covariance matrix. In the case of the independent phase errors the moments and probability distribution of the gain pattern are derived for large numbers N of pulses. In the normal case exact expressions for the moments of the gain pattern are derived. Under mild assumptions on the asymptotic distribution large N of a function of the phase errors, the distribution of the gain pattern and simplified equations for the moments of the gain pattern are obtained. Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE