Journal of Electronic Systems Karlusov V. Yu, Rasskazov Sergey, Mariia Rubtsova 7 4 2017 http://www.dline.info/jes/fulltext/v7n4/jesv7n4_2.pdf The article is devoted to the approach to the construction of the inverse of the digital filter, which restores the original signal from the signal, distorted with the passage of the linear system. The procedure for construction provides for the use of information about the “statistical structure” of the processed signal and the characteristics of the distorting device. The efficiency of the approach is illustrated by the example of the signal patterns with different statistical properties and distorting device, widely used in measurement systems. The expressions for the calculation of the coefficients are given circuit simulation and calculation results.