In radar-based applications, Time Delay Estimation (TDE) is an essential criterion. Because of non-stationary behaviour, estimating the time delay between two turbulent signals is difficult. Existing delay estimation methods such as the cross correlation technique are restricted to stationary signals. The non-stationary signals are either fractal or periodic signal. The accuracy of this method is more reliable for fractal signals than for periodic signals. With a cost function at hand it is sensible to check whether the state correction results in a cost decrease in the first place, new parameter is optimized using Fuzzy Elephant Herding Optimization (FEHO). Further this paper incorporates ADAM based neural network (ADAM-NN) model for efficient time delay estimation. The study resulted in significant improvement upto 21.5% in estimating the time delay when compared with conventional methods.