Identification of Quasi-Stationary Dynamic Objects with the Use of Derivative Disproportion Functions

Abstract This paper presents an algorithm for designing a cryptographic system, in which the derivative disproportion functions (key functions) are used. This cryptographic system is used for an operative identification of a differential equation describing the movement of quasi-stationary objects. The symbols to be transmitted are encrypted by the sum of at least two of these functions combined with random coefficients. A new algorithm is proposed for decoding the received messages making use of important properties of the derivative disproportion functions. Numerical experiments are reported to demonstrate the algorithm’s reliability and robustness.