In this paper

a new method for reconstruction of signal x（n） is discussed. The method is obtained under the condition of |ηn（ω）|<δ by using a series of independent random noises ηn（ω）+θ（ω） on the basis of θ（ω）. By means of such a new method an equation for estimanting errors of the recovered x（n） in comparison with their real values. The lower limit of the probability satisfying the error estimation equation is estimated. The convergence speed of such a new method is fast enough.