Weight vector jitter: from «linear» adaptive antenna array to neural network

In the article are present the results of adaptive systems statistical analysis, which structure become more difficult - adaptive antenna array without nonlinear function in loop of feedback, adaptive antenna array with nonlinear function in loop of feedback, neural network with weight vector jitter. It is shown, that weight vector jitter leads to appearance new terms in the formulas of correlation function and power of these adaptive systems output signal and distortions of signal, which are filtered by these adaptive systems.