A blind signal separation method for multiuser communications

In this correspondence, we reply to the comments in Gu et al. [“Comments on ‘A blind signal separation method for multiuser communications,’” IEEE Transactions on Signal Processing, vol. 55, no. 5, pp. 2355–2356, May 2007]. We explain that the global convergence analysis of the method in Castedo et al. [“A blind signal separation method for multiuser communications,” IEEE Transactions on Signal Processing, vol. 45, no. 5, pp. 1343–1348, May 1997] can be completed as an extension of the results that were already presented. Also, we recall that two of the authors put forward (Dapena and Castedo [“Stochastic gradient adaptive algorithms for blind source separation,” Elsevier Signal Processing, vol. 75, pp. 11–27]) a similar method with more attractive properties whose convergence analysis is not affected by the counterexample provided in Gu et al.