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The phase space of the digital encoding algorithm for telecommunication systems

We investigate the phase space structure of a discrete algorithm with delay determined on the integer number interval. The Fibonacci-type mechanism of chaotization was added by a mixing transformation at the bound violation of the definite region of value. It was found that the phase space of the system consisted of a finite number of different cycles and the system's behavior has pseudo-random character. It was shown that under the condition of proper choice of value the algorithm allows us to form a nonperiodic pseudorandom sequence of the prescribed length for coding of information in telecommunication systems.