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In applications of adaptive line enhancers (a.l.e.) for detecting sinusoidal signals in uncorrelated noise, an arbitrary value of delay Â¿, the decorrelation parameter, is suggested and Â¿ = 1 is normally used. Exact analysis of the a.l.e. for the case of a single sinusoid in uncorrelated noise shows that an optimum value of Â¿ exists for which the a.l.e. yields much better estimate of the sinusoid frequency compared to that with Â¿ = 1. The simulation results show an excellent agreement with the predicted behaviour.