کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1146308 | 957503 | 2010 | 14 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: The rank of the covariance matrix of an evanescent field The rank of the covariance matrix of an evanescent field](/preview/png/1146308.png)
Evanescent random fields arise as a component of the 2D Wold decomposition of homogeneous random fields. Besides their theoretical importance, evanescent random fields have a number of practical applications, such as in modeling the observed signal in the space–time adaptive processing (STAP) of airborne radar data. In this paper we derive an expression for the rank of the low-rank covariance matrix of a finite dimension sample from an evanescent random field. It is shown that the rank of this covariance matrix is completely determined by the evanescent field spectral support parameters, alone. Thus, the problem of estimating the rank lends itself to a solution that avoids the need to estimate the rank from the sample covariance matrix. We show that this result can be immediately applied to considerably simplify the estimation of the rank of the interference covariance matrix in the STAP problem.
Journal: Journal of Multivariate Analysis - Volume 101, Issue 3, March 2010, Pages 692–705