ANALYTIC SOLUTION FOR STATISTICAL PROPERTIES OF ANTENNA GAIN PATTERNS PERTURBED BY LARGE PHASE ERRORS,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1964
- Accession Number
- AD0608987
Entities
People
- Marvin Blum
Organizations
- RAND Corporation