Method of Minimum of Duration for Extraction of Damped and Delayed Sinusoidal Signal in Presence of Pulses

The problem of extraction of damped and delayed sinusoidal signal is considered in the paper. New technique for solution of this problem through signal parameters estimation in accordance with its mathematical model is proposed, based on minimization of length of approximation error. Problem is set in assumption that signal is single and impulses are strictly finite in time, but parameters of impulses are not known priory. Parameters are estimated with usage of criteria of the generalized length of discrepancy between measured and registered signal. Results of numerical simulations of extraction procedure are given as well.