Synthesis of derivatives of complex signals based on nonlinear discrete sequences with improved correlation properties

I.D. Gorbenko; A.A. Zamula; Ho Tri Luc

doi:10.30837/rt.2019.4.199.14

Synthesis of derivatives of complex signals based on nonlinear discrete sequences with improved correlation properties

Radiotekhnika ◽

10.30837/rt.2019.4.199.14 ◽

2019 ◽

Vol 4 (199) ◽

pp. 110-120

Author(s):

I.D. Gorbenko ◽

A.A. Zamula ◽

Ho Tri Luc

Keyword(s):

Complex Signals ◽

Discrete Sequences ◽

Correlation Properties ◽

Derivatives Of

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Algorithm for implementation of the «third decision scheme» of increasing the efficiency of search and synchronization of difficult broadband noise like signals

Electromagnetic Waves and Electronic Systems ◽

10.18127/j15604128-202103-07 ◽

2021 ◽

Author(s):

I.I. Snytkin ◽

T.I. Snytkin

Keyword(s):

Central Element ◽

Broadband Noise ◽

Telecommunication Networks ◽

Complex Signals ◽

The Third ◽

Recurrent Sequences ◽

Decision Scheme ◽

Code Structure ◽

Wideband Signals ◽

Derivatives Of

The construction of telecommunication networks with a guaranteed level of quality of service involves assessing and ensuring the security of both the networks themselves and information flows from unauthorized access and various kinds of interference, in particular at the 1st (physical) level of the network. In this regard, research in the field of creating recurrent code sequences with improved systemic, correlation, secretive, imitation-resistant properties is constantly relevant. In particular, research in the development and application of derivative nonlinear recurrent sequences, as a central element in the developed theory of the «third decision scheme». Goal of the work is to develop an algorithm for increasing the efficiency of search and synchronization of broadband signals in the form of double derivatives of nonlinear recurrent sequences, which directly uses the features of their code structure, the properties of determinism of their auto- and cross-correlation functions. The results of the research and development of the efficiency of the algorithm for accelerated search and synchronization of broadband complex signals in the form of phase-shift keyed derivatives of nonlinear recurrent sequences, which implements the principles of the «third decision schema» The developed algorithm, based on the use of double derivatives of nonlinear recurrent sequences as wideband signals, can be applied in the construction of promising packet radio networks.

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Statistical properties of derived signal systems

Radiotekhnika ◽

10.30837/rt.2020.4.203.14 ◽

2020 ◽

pp. 141-147

Author(s):

A.A. Zamula ◽

I.D. Gorbenko ◽

Ho Tri Luc

Keyword(s):

Statistical Properties ◽

Random Sequences ◽

Signal Systems ◽

Discrete Signals ◽

Information Transformation ◽

Methods Of Synthesis ◽

Linear Signal ◽

Correlation Properties ◽

Derivatives Of ◽

Structural Ensemble

The search for effective methods of synthesis of discrete signals (sequences) that correspond to the potentially possible limiting characteristics of correlation functions and possess the necessary correlation, structural, ensemble properties remains an urgent problem. The authors have proposed a method for the synthesis of derivatives of signal systems, for which orthogonal signals are used as the initial ones, and nonlinear discrete complex cryptographic signals (CS) are used as generating signals. The synthesis of the latter ones is based on the use of random (pseudo-random) processes, including algorithms for cryptographic information transformation. Derivative signals synthesized in this way have improved (in comparison with linear signal classes) ensemble and correlation properties, while the statistical properties of such signal systems remain unexplored. The paper presents the results of testing derived signal systems using the tests defined in FIPS PUB 140 and NIST 800-22. Analysis of the results obtained allows us to assert that the statistical properties of this class of derived signals satisfy the requirements for pseudo-random sequences: unpredictability, irreversibility, randomness, independence of symbols, etc. In essence, such signals do not differ from random sequences. The use of the proposed class of derived signals will improve the performance of signal reception noise immunity, information security and secrecy of the ICS functioning.

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