Preservation of Statistical Properties for Subsequences of Random Sequences

1984 ◽  
Vol 28 (4) ◽  
pp. 752-761
Author(s):  
D. B. Sten’kin
Keyword(s):  
Statistical Properties ◽  
Random Sequences

scholarly journals Statistical properties of derived signal systems

Radiotekhnika ◽  
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.

scholarly journals GROUPING WAVES AND THEIR EXPRESSING ON ASYMPTOTIC ENVELOPE SOLITON MODES

1986 ◽  
Vol 1 (20) ◽  
pp. 65 ◽  
Author(s):  
T. Yasuda ◽  
N. Nakashima ◽  
Y. Tsuchiya
Keyword(s):  
Time Series ◽  
Wave Packets ◽  
Spectral Band ◽  
Statistical Properties ◽  
Band Width ◽  
Envelope Soliton ◽  
Random Sequences ◽  
Envelope Solitons ◽  
Elementary Modes

An approach, that treats natural sea states with remarkable groupiness as random sequences of envelope solitons, is suggested here to explain their dynamical and statistical properties from the viewpoint that wave packets contained in the states have their own characteristics and should be regarded as elementary modes. Some examinations are made on its applicability to the temporally observed waves. And the approach is shown to be effective also for waves with a non-zero nonlinearity and finite spectral band-width. Further, a formulation based on envelope solitons is made on the wave drifting force and is shown to be useful for analyzing the time series of drifting forces.

scholarly journals THE GENERATING RANDOM SEQUENCES WITH THE INCREASED CRYPTOGRAPHIC STRENGTH

2020 ◽  
Vol 10 (1) ◽  
pp. 20-23
Author(s):  
Volodymyr Korchynskyi ◽  
Vitalii Kildishev ◽  
Oleksandr Riabukha ◽  
Oleksandr Berdnikov
Keyword(s):  
Random Number ◽  
Statistical Tests ◽  
Statistical Properties ◽  
Qualitative Assessment ◽  
Statistical Characteristics ◽  
Random Number Generators ◽  
Random Sequences ◽  
Short Period ◽  
Nist Tests

Random sequences are used in various applications in construction of cryptographic systems or formations of noise-type signals. For these tasks there is used the program generator of random sequences which is the determined device. Such a generator, as a rule, has special requirements concerning the quality of the numbers formation sequence. In cryptographic systems, the most often used are linearly – congruent generators, the main disadvantage of which is the short period of formation of pseudo-random number sequences. For this reason, in the article there is proposed the use of chaos generators as the period of the formed selection in this case depends on the size of digit net of the used computing system. It is obvious that the quality of the chaos generator has to be estimated through a system of the NIST tests. Therefore, detailed assessment of their statistical characteristics is necessary for practical application of chaos generators in cryptographic systems. In the article there are considered various generators and there is also given the qualitative assessment of the formation based on the binary random sequence. Considered are also the features of testing random number generators using the system. It is determined that not all chaos generators meet the requirements of the NIST tests. The article proposed the methods for improving statistical properties of chaos generators. The method of comparative analysis of random number generators based on NIST statistical tests is proposed, which allows to select generators with the best statistical properties. Proposed are also methods for improving the statistical characteristics of binary sequences, which are formed on the basis of various chaos generators.

scholarly journals The Statistical Properties of Human UTRs Compared to that of Random Sequences

2010 ◽  
Vol 98 (3) ◽  
pp. 472a
Author(s):  
Joshua S. Martin ◽  
Alain Laederach
Keyword(s):  
Statistical Properties ◽  
Random Sequences

Statistical properties of type I intermittency

1982 ◽  
Vol 43 (4) ◽  
pp. 585-589 ◽  
Author(s):  
M. N. Bussac ◽  
C. Meunier
Keyword(s):  
Statistical Properties ◽  
Type I
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