Adaptive filtering algorithms with quatratized cost function for linearly constrained arrays

Authors

  • Victor I. Djigan Russian Research Center Huawei, Russian Federation

DOI:

https://doi.org/10.1109/ICATT.2013.6650729

Keywords:

adaptive arrays, least mean square, recursive least mean squares, linear constraints, constant modulus, blind adaptive filtering algorithms

Abstract

This article considers peculiarities of adaptive filtering algorithms for arrays based on the Linearly Constrained quadratic and multi-extreme Constant Modulus cost functions minimization. The results of using the Linearly Constrained quadratized Constant Modulus cost function in the complex-valued LMS and RLS algorithms for the adaptive arrays are presented. The algorithms efficiency is compared to that of the real-valued arithmetic versions of the considered algorithms.

References

MONZINGO, R.A.; MILLER, T.W. Introduction to Adaptive Arrays. SciTech Publishing, 2004.

TREICHLER, J.; LARIMORE, M. New processing techniques based on the constant modulus adaptive algorithm. IEEE Trans. Acoustics, Speech Signal Processing, 1985, v.33, n.2, p.420-431, doi: http://dx.doi.org/10.1109/TASSP.1985.1164567.

FROST, O.L., III. An algorithm for linearly constrained adaptive array processing. Proc. IEEE, 1972, v.60, n.8, p.926-935, doi: http://dx.doi.org/10.1109/PROC.1972.8817.

CHEN, Y.; LE-NGOC, T.; CHAMPAGNE, B.; XU, C. Recursive least squares constant modulus algorithm for blind adaptive array. IEEE Trans. Signal Processing, 2004, v.52, n.5, p.1452-1456, doi: http://dx.doi.org/10.1109/TSP.2004.826167.

DJIGAN, V.I. Multichannel RLS and fast RLS adaptive filtering algorithms. Uspekhi Sovremennoy Radioelektroniki, 2004, n.11, p.48-77.

DJIGAN, V.I. Joint use of constant modulus and least squares criteria in linearly-constrained communication arrays. Radioengineering, 2007, v.16, n.4, p.88-95.

DJIGAN, V.I.; PLETNEVA, I.D. Adaptive filtering algorithms based QR decomposition in digital arrays for communication. Tsifrovaya Obrabotka Signalov, 2007, n.4, p.2-7.

DJIGAN, V.I. Linearly-constrained NLMS algorithm for digital adaptive array. Informatsionnye Tekhnologii, 2008, n.10, p.68-74.

DJIGAN, V.I.; PLETNEVA, I.D. Adaptive filtering in antenna array based on CM affine projection algorithm with linear constraints. Antenny, 2008, n.10, p.14-24.

DJIGAN, V.I. Adaptive signal processing in multy-beam arrays. Proc. of 9th IEEE East-West Design &Test Symp., EWDTS, 9-12 Sept. 2011, Sevastopol, Ukraine. IEEE, 2011, p.51-54, doi: http://dx.doi.org/10.1109/EWDTS.2011.6116576.

DJIGAN, V.I. Multi-beam adaptive antenna array. Proc. of Southern Federal University, 2012, n.2, p.23-29.

HUARNG, K.-C.; TEH, C.-C. Adaptive beamforming with conjugate symmetric weights. IEEE Trans. Antennas Propag., 1991, v.39, n.7, p.926-932, doi: http://dx.doi.org/10.1109/8.86911.

DJIGAN, V.I. Multi-beam adaptive array with real-valued calculations. Proc. of 10th IEEE East-West Design & Test Symp., EWDTS, Kharkov, Ukraine, 2012, p.54-59.

DJIGAN, V.I. Multi-beam adaptive arrays based LMS algorithms. Voprosi Radioelektroniki, 2013, n.2, p.107-121.

Published

2014-02-19