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In OFDM systems, the loss of orthogonality between the subcarriers due to carrier offset can degrade the performance of the system. In the literature, Liu and Tureli proposed a blind, Music-like method to solve such a problem. The latter, however, has a very high computational complexity. In this paper, based on practical considerations, we present a new implementation of the previous method which reduces significantly the cost without sacrificing the performance. The proposed algorithm can also integrate one of the strategies developed by X. Ma et al., in order to make its performance channel independent.