ALE behavior for two sinusoidal signal models

The adaptive line enhancer (ALE) weight covariance matrix is determined for a complex monochromatic sine wave signal in an independent circular Gaussian noise background. The weight covariance matrix is shown to differ significantly from that obtained when the signal is a narrow-band sine wave process. In spite of this result, the misadjustment factors which characterize the mean-norm squared error behavior of the ALE are essentially indistinguishable for small values of the adaptation parameter-noise power product (μσ
²
).