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A novel algorithm for estimating the frequency of a single complex sinusoid in complex white Gaussian noise is proposed. The proposed discrete Fourier transform -based algorithm performs a frequency interpolation on the results of an N point complex Fourier transform very well with a novel residue frequency discriminator. Simulation results are included to demonstrate that the estimator is unbiased and approaches the Cramér-Rao bound uniformly over the frequency estimation range. The algorithm has low computational complexity and is well suited for real time applications.