we determine the optimal pulse shape for estimating positions of superimposed pulses by deriving the Cramer-Rao lower bound (CRLB) on the average estimation error variance and optimizing it with respect to the pulse shape. Our results show that a significant improvement in estimation error variance can be achieved relative to Gaussian and rectangular pulse shapes.
['Thanh D. Nguyen', 'Stanley J. Reeves', 'S Thomas Denney']
Optimal pulse shape for estimating positions of superimposed pulses