PERMISSIBLE SUPPORT PATTERNS FOR IDENTIFYING THE SPREADING FUNCTION OF TIME-VARYING CHANNELS

摘要

We study support patterns for covariance matrices that appear in the problem of stochastic time-varying channel identification. The problem reduces to solving a linear system that is associated with a matrix in the form of a Kronecker product of a Gabor system matrix with itself, and therefore solvability of the linear system depends on the choice of generating window for the Gabor system and the support pattern of the object vector. In this paper, we investigate support patterns that allows the linear system to be solvable with some window. We present several classes of permissible patterns and also provide how the corresponding windows need to be chosen.