The MMSE Algorithm and Mutual Coupling for Adaptive Arrays

• Published in: IEEE transactions on antennas and propagation Vol. 56; no. 5; pp. 1292 - 1296
• Main Authors: Zhiyong Huang, Balanis, C.A.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.05.2008; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Adaptive algorithms; Adaptive arrays; Antenna arrays; Antennas; Applied sciences; Array signal processing; Arrays; Beamforming; Channel capacity; Computer simulation; Convergence; Covariance matrix; Degradation; Direction of arrival estimation; Exact sciences and technology; Least squares approximation; minimum-mean-square-error (MMSE); Mutual coupling; mutual coupling (MC); Noise; Radiocommunications; Receivers; Systems, networks and services of telecommunications; Telecommunications; Telecommunications and information theory; Transmission and modulation (techniques and equipments); Working environment noise; Mutual coupling; Beamforming; Simulation; Adaptive antenna arrays; minimum-mean-square-error (MMSE); Algorithm; Beam forming; Mean square error; Least mean squares methods; mutual coupling (MC)
• ISSN: 0018-926X; 1558-2221
• DOI: 10.1109/TAP.2008.922619

In this paper, the minimum-mean-square-error (MMSE) in a mutual coupling (MC) environment is derived. The MMSE is slightly degraded by MC with receiver noise but it is not affected with environmental noise. Analysis also shows that data domain MC compensation cannot improve the minimum MSE even if the estimate of MC is accurate. The simulations also show that MC slows down the convergence of the least mean square algorithm.