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Performance analysis of a time delay estimate between two noisy transient signals

Abstract:

A performance study of a novel method for time delay estimation based on coincidence of normalized integrals is presented. The estimate is considered for the signal and the squared signal. In both cases the bias and the standard deviation of the estimation have been evaluated when the signal is contaminated by noise. The signal is not biased, but the standard deviation is higher than with the squared signal. In this case there is a bias in the estimate that must be corrected. Analytical expressions for the bias and a procedure to correct it are presented. Simulation results with noisy ensembles of Gaussian signals and QRS complexes from a real electrocardiogram agree with theoretical pbkp_redictions.