Features of discrete algorithms data transform using inverse dynamic systems

V. V. Kyrychenko, Ye. V. Lesina

Abstract


In view of development of satellite, mobile, computer and communication systems, it is evident the  importance of issues of confidentiality information transfer and broader issues of information security in the market of communication services. The actual problem studies the possibilities of using chaotic systems and communication technologies in the development and testing of a number of specific algorithms and coding schemes chaotic, providing a controlled degree of confidentiality. These schemes should provide: high efficiency protection of multimedia data, high speed encoding; high resistance concerning noise. In solving the problems of information security can be successfully applied technique based on deterministic chaos, which is generated by non-linear dynamic systems.

The base for such systems is inverse property, i.e. the possibility to restore external input (Announcement) nonlinear dynamical system on its output (the signal is sent to the communication network). Inverse phenomenon is widely used in many problems of control theory of complex systems.

Systems that have chaotic dynamics are an important feature - they are synchronized. This fact is widely used in many algorithms for encryption and decryption. The receiving device in these algorithms instead of the original system uses its observer.

Here are the main ways of encoding information using dynamic chaos. Input signal in transmitter through the unknown input. Parametric modulation. Use masking.

We consider the properties of nonlinear dynamic systems with chaotic behavior as transducers information and the features of discrete control systems and decryption algorithms resistance error signal.

Computer algorithms realization conversion information based on chaotic dynamics leads to the need  for sampling systems. This work concerns investigation of inverse discrete control systems as data processors, including their properties such as dynamic degradation. It is a sharp decrease in the discrete set of states of complex dynamic systems introduced in the Announcement. To a large extent this phenomenon depends on the initial values of the trajectories and system parameters. In this paper we consider the  example of a dynamic system, trajectories which have a complex integral dynamic, but it introduced an information notice fall to zero invariant variety. Thus, instead of encrypting the input information sequence output system for any values of key parameters, starting from some point exactly conveys important information from the input unit delay

Keywords


inverse dynamic systems, dynamic degradation, ring of integers, generators pseudorandom sequences, encryption, control function

References


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