Analytic performance investigation of signal level estimator based on empirical characteristic function in impulsive noise

Abstract

In this paper, we evaluate the mean square error (MSE)performance of empirical characteristic function (ECF)based signal level estimator in a binary communication system. By calculating Cramér-Rao lower bound (CRLB)we investigate the performance of the ECF based estimator in the presence of Laplace and Gaussian mixture noises. We have derived an analytic expression for the variance of the ECF based estimator which shows that it is asymptotically unbiased and consistent. Simulation and analytic results indicate that the ECF based level estimator outperforms the previously proposed estimators in some signal to noise ratio (SNR)regions when the observation noise distribution is unknown. © 2019 Elsevier Inc.