Performance measures of an adaptive array in bandlimited noise
Abstract
A technique that yields closed form solutions for the convergence times, control loop noise, and sidelobe cancellation performance of the Applebaum adaptive algorithm is presented. Past researchers had derived these performance measures under the assumption that the input noise is approximately wideband with respect to the output weighting vector of the Applebaum algorithm. This work has been extended to include input noise sources that can have an arbitrary bandwidth. Specifically, the case when the adaptive algorithm is subjected to a single external noise source is examined in detail. Bounds on the validity of the wideband input noise approximation are established and it is shown that the convergence time increases significantly if the input noise bandwidth decreases. Under the wideband input noise approximation, past researchers showed that the convergence time approaches zero as the input noise power becomes infinite. It is shown that if the input noise has a finite bandwidth then the convergence time no longer approaches zero but instead approaches a positive constant.
 Publication:

NTC '81; National Telecommunications Conference, Volume 2
 Pub Date:
 1981
 Bibcode:
 1981ntc.....2Q...7G
 Keywords:

 Adaptive Control;
 Antenna Arrays;
 Sidelobe Reduction;
 Signal To Noise Ratios;
 Carrier To Noise Ratios;
 Feedback Control;
 Noise Intensity;
 Power Spectra;
 Weighting Functions;
 Communications and Radar