Exact solution for control loop adaptive antenna weights in band-limited noise

A technique is presented that yields exact solutions for the noise analysis of the Applebaum adaptive algorithm. Past researchers have derived results under the assumption that the input noise is rapidly varying with respect to the output weighting vector of the Applebaum algorithm. In this paper, this work has been extended to include noise that can vary at any rate. External noise sources are modeled as continuous state jump Markov processes (CSJMP) which results in exact first moment equations for the weighting vector that are solvable. Specifically, the case where the adaptive algorithm is subjected to a single external noise source is examined in detail. Results in adaptive processing convergence times and average null depth are presented.