Estimation of a sinusoid in uncorrelated noise using adaptive line enhancer

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