APPLICATION OF NONLINEAR DYNAMICS METHODS FOR ANALYZING THE PROPERTIES OF SIGNALS FORMED ON THE BASIS OF TERNARY SEQUENCES

It is shown that complex signals based on pseudorandom sequences (PRS) are currently being actively used in various fields of activity. It is indicated that many well-known binary PRS, for example, Barker codes, msequences, etc., have various disadvantages that make it difficult to use them in practice. Therefore, it seems reasonable to explore ways to complicate the structure of a signal not by increasing the number of characters in its period, but by increasing the number of values that a numeric sequence can take. One of the most obvious and least computationally expensive approaches to complicate the signal structure is the use of ternary sequences (TS). It is noted that, despite the availability of a large number of works on this topic, some issues are not fully disclosed, for example, the secrecy and reliability of such signals when used in data transmission systems. It is proposed to use nonlinear dynamics methods (BDS-statistics, Hurst exponent, peak factor) to evaluate the secrecy and reliability of signals generated on the basis of TS. Based on the conducted research, it has been confirmed that signals generated on the basis of TS are detected using nonlinear dynamics methods, in particular, using BDS-statistics. At the same time, using the Hurst exponent, such signals are not detected, since they are classified as close to white noise. It is noted that all signals generated on the basis of TS have a good peak factor. It is noted that most of the studied signals formed on the basis of TS are close to the signals formed on the basis of classical binary PRS. Based on this, they can be recommended for use in hidden data transmission systems – although they can be detected, however, disclosure of their structure will present certain difficulties, since they have the characteristics of classical binary PRS.