Optimal pulse shape for estimating positions of superimposed pulses

In this correspondence, we determine the optimal pulse shape for estimating positions of superimposed pulses by deriving the Cramer-Rao lower bound (C RLB) on the average estimation error variance and numerically optimizing it with respect to pulse shape. Our results show that a significant improveme nt in estimation error variance can be achieved relative to Gaussian and re ctangular pulse shapes.