On the Equivalence of RLS Implementations of LCMV and GSC Processors

IEEE Signal Processing Letters

Volumn 10, Issue 12, 2003, Pages 356-359

  Werner, Stefan ^a   Apolinário Jr , José A ^b   De Campos, Marcello L R ^c,d  

^a AALTO UNIVERSITY   (Finland)

^b MILITARY INSTITUTE OF ENGINEERING   (Brazil)

^c FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^d UNIVERSITY OF OULU   (Finland)

Author keywords

Beamforming; Generalized sidelobe canceler (GSC); Linearly constrained adaptive filtering; Linearly constrained minimum variance (LCMV)

Indexed keywords

ADAPTIVE FILTERING; ALGORITHMS; LEAST SQUARES APPROXIMATIONS; MATRIX ALGEBRA; RECURSIVE FUNCTIONS; VECTORS;

GENERALIZED SIDELOBE CANCELER (GSC); LINEAR CONSTRAINTS;

SIGNAL DETECTION;

EID: 0345307110     PISSN: 10709908     EISSN: None     Source Type: Journal    
DOI: 10.1109/LSP.2003.818861     Document Type: Article

References (17)

1. O. L. Frost III, "An algorithm for linearly constrained adaptive array processing," Proc. IEEE, vol. 60, pp. 926-935, Aug. 1972.
2. L. J. Griffiths and C. W. Jim, "An alternative approach to linearly constrained adaptive beamforming," IEEE Trans. Antennas Propagat, vol. AP-30, pp. 27-34, Jan. 1982.
3. M. Honig, U. Madhow, and S. Verdú, "Blind multiuser detection," IEEE Trans. Inform. Theory, vol. 41, pp. 944-960, July 1995.
4. L. S. Resende, J. M. T. Romano, and M. G. Bellanger, "A fast least-squares algorithm for linearly constrained adaptive filtering," IEEE Trans. Signal Processing, vol. 44, pp. 1168-1174, May 1996.
5. J. A. Apolinário, Jr., S. Werner, and P. S. R. Diniz, "Constrained normalized adaptive filters for CDMA mobile communications," in Proc. Eur. Signal Processing Conf., vol. 4, Rhodes, Greece, 1998, pp. 2053-2056.
6. M. L. R. de Campos, S. Werner, J. A. Apolinario, Jr., and T. I. Laakso, "Constrained quasi-Newton algorithm for CDMA mobile communications," in Proc. Int. Telecommunications Symp., São Paulo, Brazil, Aug. 1998, pp. 371-376.
7. M. L. R. de Campos, S. Werner, and J. A. Apolinário, Jr., "Householder-transform constrained LMS algorithms with reduced-rank updating," in Proc. ICASSP, Phoenix, AZ, 1999, pp. 1857-1960.
8. J. A. Apolinário, Jr., M. L. R. de Campos, and C. P. Bernal, "The constrained conjugate-gradient algorithm," IEEE Signal Processing Lett., vol. 7, pp. 351-354, Dec. 2000.
9. M. L. R. de Campos, J. A. Apolinário, Jr., and P. S. R. Diniz, "The constrained affine projection algorithm - development and convergence issues," in Proc. 1st Balkan Conf. Signal Processing, Communications, Circuits and Systems, Istanbul, Turkey, May 2000.
10. M. L. R. de Campos, S. Werner, and J. A. Apolinário, Jr., "Constrained adaptation algorithms employing Householder transformation," IEEE Trans. Signal Processing, vol. 50, pp. 2187-2195, Sept. 2002.
11. C. W. Jim, "A comparison of two LMS constrained optimal structures," Proc. IEEE, vol. 65, pp. 1730-1731, Dec. 1977.
12. D. H. Johnson and D. E. Dudgeon, Array Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1993.
13. B. R. Breed and J. Strauss, "A short proof of the equivalence of LCMV and GSC beamforming," IEEE Signal Processing Lett., vol. 9, pp. 168-169, June 2002.
14. M. T. Schiavoni and M. G. Amin, "A linearly constrained minimization approach to adaptive linear phase and notch filters," in Proc. 20th Southeastern Symp. System Theory, Philadelphia, PA, Mar. 1988, pp. 682-685.
15. S. Haykin, Adaptive Filter Theory. Englewood Cliffs, NJ: Prentice-Hall, 1996.
16. Y. Chu and W.-H. Fang, "A novel wavevelet-based generalized sidelobe canceller," IIEEE Trans. Antennas Propagat., vol. 47, pp. 1485-1494, Sept. 1999.
17. C.-Y. Tseng and L. J. Griffiths, "A systematic procedure for implementing the blocking matrix in decomposed form," in Proc. 22nd Asilomar Conf. Signals, System and Computers, vol. 2, 1988, pp. 808-812.