Performance analysis of the adaptive line enhancer for sinusoidal signals in broad-band noise

Abstract

The authors extend earlier the optimum value of the decorrelation parameter Delta in the adaptive line enhancer (ALE) to the case of two sinusoidals. They suggested a technique for estimating this optimum choice of Delta in the finite-data case. They studied the performance of the ALE as a spectral estimator. In particular, they studied the asymptotic bias in the frequency estimates produced by the ALE with the near-optimum and the usual choices of Delta . In the finite-data case, they used computer simulations to study the variance of the frequency estimates in relation to the Cramer-Rao bound. The analysis and the simulations show that the frequency estimates obtained with the near-optimum choice of Delta are much superior with respect to bias, variance, and the threshold SNR than the estimates produced with the usual choice, Delta =1.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>