Title :
The complex LMS algorithm
Author :
Widrow, Bernard ; McCool, John ; Ball, Michael
Author_Institution :
Stanford University, Stanford, Calif.
fDate :
4/1/1975 12:00:00 AM
Abstract :
A least-mean-square (LMS) adaptive algorithm for complex signals is derived. The original Widrow-Hoff LMS algorithm is Wj+l= Wj+ 2µεjXj. The complex form is shown to be Wj+1= Wj+ 2µεjX-j, where the boldfaced terms represent complex (phasor) signals and the bar above Xjdesignates complex conjugate.
Keywords :
Adaptive algorithm; Adaptive systems; Algorithm design and analysis; Convergence; Equations; Error correction; Frequency; Least squares approximation; Sampling methods; Vectors;
Journal_Title :
Proceedings of the IEEE
DOI :
10.1109/PROC.1975.9807
