Multi-dimensional distribution of weight vector of phased array antenna, in its quasi-optimal setting which is based on parameters\' estimation of Wiener-Hopf matrix equation

In practice, not only composite index of PAA\'s mismatch is of interest, but also an expression for the multivariate distributions of deviation PAA from their optimum values. Also relation of the correlation matrix with the distribution of the correlation matrix of the input signal is of interest. The deviation is due to the limited sample size. The question is formulated in relation to complex input signals. A case of real input signals is not considered at all. Therefore, this work is devoted to the issue for the case where the input signal is real.