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The performance of two-microphone coherence based methods degrades if two captured noises are correlated. The Cross Power Spectrum Subtraction (CPSS) is an adapted coherence method for noise correlated environments. In this paper, we propose a new technique for estimation of speech cross power spectrum density and we exploit it in CPSS. The proposed speech enhancement method is evaluated as a speech recognition preprocessing system and as an independent speech enhancement system. The enhancement results show the practical superiority of the proposed method comparing with the previous solutions.