Signal-Selective Time Difference of Arrival Estimation Based on Generalized Cyclic Correntropy in Impulsive Noise Environments

This paper addresses the issue of time difference of arrival (TDOA) estimation of cyclostationary signal under impulsive noise environments modeled by a-stable distribution. Since a-stable distribution has not finite second-order statistics, the conventional cyclic correlation based signal-selective TDOA estimation algorithm does not work effectively. To resolve this problem, we define the generalized cyclic correntropy (GCCE) which is a robust cyclic correlation and can be reviewed as an extension of the generalized correntropy for cyclostationary signal. A robust signal-selective TDOA estimation algorithm based on GCCE is proposed. The computer simulation results demonstrate that the proposed algorithm outperforms the conventional cyclic correlation and the fractional lower order cyclic correlation based algorithms.