Performance advantage of complex LMS for controlling narrow-band adaptive arrays

by: L Horowitz, K Senne

Circuits and Systems, IEEE Transactions on, Vol. 28, No. 6. (1981), pp. 562-576.

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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.

@article{citeulike:2421460, 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.}, author = {Horowitz, L. and Senne, K. }, booktitle = {Circuits and Systems, IEEE Transactions on}, citeulike-article-id = {2421460}, journal = {Circuits and Systems, IEEE Transactions on}, keywords = {adaptive, antenna, array, lms, performance}, number = {6}, pages = {562--576}, posted-at = {2008-02-24 13:34:41}, priority = {2}, title = {Performance advantage of complex LMS for controlling narrow-band adaptive arrays}, url = {http://ieeexplore.ieee.org/xpls/abs\_all.jsp?arnumber=1085024}, volume = {28}, year = {1981} }

RIS record

TY - JOUR ID - citeulike:2421460 L3 - citeulike-article-id:2421460 TI - Performance advantage of complex LMS for controlling narrow-band adaptive arrays T2 - Circuits and Systems, IEEE Transactions on JF - Circuits and Systems, IEEE Transactions on VL - 28 IS - 6 SP - 562 EP - 576 N2 - 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. KW - adaptive KW - antenna KW - array KW - lms KW - performance AU - Horowitz, L AU - Senne, K PY - 1981/// UR - http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1085024 ER -

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