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By applying a two-dimensional parameter estimation method proposed by M. Viberg and P. Stoica (see Conf. Rec. 32nd Asilomar Conf. Signals, Systems, Computers, vol.2, p.735-9, 1998), we develop a subspace method for estimating the differential delay of a sinusoidal signal received at two separated sensors as well as the sinusoidal frequencies. Using state-space realization, the time delay and frequency estimates are obtained from the state transition and observation matrices. Performance evaluation via computer simulations is included to demonstrate the effectiveness of the proposed algorithm.