DocumentCode :
1027487
Title :
A complex algorithm for linearly constrained adaptive arrays
Author :
Su, Younglim
Author_Institution :
Stanford University, Stanford, CA, USA
Volume :
31
Issue :
4
fYear :
1983
fDate :
7/1/1983 12:00:00 AM
Firstpage :
676
Lastpage :
678
Abstract :
A linearly constrained least mean squares (lms) algorithm for complex signals is derived to minimize noise power in the array output. The original algorithm for real signals is ![W(k + 1) = P[W(k) - \\mu y(k)X(k)] + F](/images/tex/13217.gif)
. The complex form is shown to be ![W(k + 1) = P[W(k) - \\mu y(k)\\bar{X}(k)] + F](/images/tex/13218.gif)
, where the bar above 
denotes complex conjugate. 
, and 
are complex. 
and 
are real.
. The complex form is shown to be , where the bar above denotes complex conjugate. , and are complex. and are real.Keywords :
Adaptive arrays; Least-squares optimization; Adaptive arrays; Delay effects; Delay lines; Information systems; Linear antenna arrays; Phased arrays; Power generation; Seismology; Stochastic processes; Vectors;
fLanguage :
English
Journal_Title :
Antennas and Propagation, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-926X
Type :
jour
DOI :
10.1109/TAP.1983.1143110
Filename :
1143110
Link To Document :
