A Lower-Bound for the Error-Variance of Maximum-Likelihood Delay Estimates of Discontinuous Pulse Waveforms

Kurt Louis Kosbar, Missouri University of Science and Technology
A. Polydoros

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A new lower bound is developed for the error variance of maximum-likelihood time-delay estimation when the received signal is a square pulse, corrupted by additive white Gaussian noise. The bound is generated by combining concepts previously developed for a special class of stochastic processes, induced by the signal model. For moderate signal to noise ratios, the new bound is significantly tighter than previously known ones