I. I. Snytkin - Dr.Sc. (Eng.), Professor, Academician, Branch of MAC (Krasnodar). E-mail: timursnytkin@gmail БикЮ T. I. Snytkin - FSI «27 CSRI» (Moscow). E-mail: djammell@mail.ru

Lack of a coherent theory of derived signals systems is not adequate and reasonably judge the properties, ad-vantages, disadvantages of these systems and generate objective advice on their synthesis, and on the other, they suggest significant benefits in a number of practical cases. Investigate questions of synthesis and construction, properties and characteristics of the multiplied of nonlinear recurring sequences (MNLRS), including simulated on computer statistical characteristics of the correlation functions and properties of MNLRS; presented rules for constructing of MNLRS and research-based, as the conclusions are properties of periodic and aperiodic autocorrelation functions of MNLRS that, in essence, is the basis of the theory not only PNLRP but such as the multiplied systems of complex signals.