Weak Signal Estimation in Chaotic Clutter Using Model-Based Coupled Synchronization

In this paper, detection and estimation of weak signals in chaotic clutter with unknown dynamics are presented. We achieve this in three steps. First, by using Takens´ delay embedding theorem and support vector machines (SVMs), the dynamics of the clutter is modeled by training SVMs with a known data set. Second, we augment the model with coupled chaotic synchronization scheme so that a better estimate of the clutter signal can be estimated. Finally, this estimate is subtracted from the observations, and on the residual signal, we apply standard signal detection/estimation techniques. By analyzing the statistical properties of the residual signal, we show that the strong clutter in the observation is replaced by a weakly colored and nonstationary noise. Efficiency of the new estimator is evaluated by computing the mean square error (MSE) of the estimation. Our studies reveal that, by a proper selection of coupling coefficients, we can lower the MSE significantly.