CORRELATIONAL ACCUMULATION AS A METHOD FOR SIGNAL RESTORATION

This work analyses the method of correlational accumulation (averaging ) of a set of multiple copies of a signal from the same object arbitra rily displaced with relation to one another and observed in a mixture with additive signal independent sensor noise in which the signal disp lacements are measured by localization of maximum of the signal cross- correlation function. Three main problems are addressed and investigat ed both analytically and by computer simulation: optimality of the cor relational accumulation method, signal distortions which originate fro m the signal registration errors and noise reduction capability of the correlational accumulation as a function of signal-to-noise ratio in the observed signal-plus-noise realizations.