Exact solutions for the time constants of an adaptive array in bandlimited noise
K. Gerlach · Defense Technical Information Center (DTIC) · 1981
A technique is presented that yields closed form solutions for the noise analysis of the Applebaum adaptive algorithm. Past researchers have derived results under the assumption that the input noise is stationary and rapidly varying with respect to the output weighting vector of the Applebaum algorithm. In this report, this work has been extended to include noise that is not stationary and can vary at any rate. External noise sources are modelled as continuous state jump Markov processes 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 are presented.