Title :
Performance advantage of complex LMS for controlling narrow-band adaptive arrays
Author :
Horowitz, Larry L. ; Senne, Kenneth D.
Author_Institution :
MIT Lincoln Lab, Lexington, MA, USA
fDate :
6/1/1981 12:00:00 AM
Abstract :
In narrow-band adaptive-array applications, the mean-square convergence of the discrete-time real least mean-square (LMS) algorithm is slowed by image-frequency noises generated in the LMS loops. The complex LMS algorithm proposed by Widrow et al. is shown to eliminate these noises, yielding convergence of the mean-squared error (MSE) at slightly over twice the rate. This paper includes a comprehensive analysis of the MSE of adaptation for LMS. The analysis is based upon the method developed in the 1968 dissertation by K. D. Senne, and it represents the most complete treatment of the subject published to date.
Keywords :
Adaptive arrays; Adaptive control; Antenna arrays; Band pass filters; Convergence; Frequency; Least squares approximation; Narrowband; Noise generators; Programmable control;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on
DOI :
10.1109/TASSP.1981.1163602