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On Non-Symmetric Forms of Time-Varying Autocorrelation Function in the Analysis of Cyclostationary Processes
P. 1–5.
The paper is aimed at investigating the difference between different forms of time-varying autocorrelation function (TVACF) used for the quantitative expression of the second-order statistical properties exhibiting by non-stationary random processes. The generalized form of TVACF is proposed where the position of the current time moment can be set by means of additional parameter. The relation between the generalized form of TVACF and its symmetric form is derived for the components of the corresponding cyclic autocorrelation function (CACF). Some invariant has been highlighted which does not depend on the form chosen for the process modelling or estimation. Some symmetry properties held by CACF are discussed. A pulse-amplitude modulated process is considered as a modelled process which sets up an illustrative example which helps to show the visual difference between the correlation diagrams depicting three forms of TVACF used most frequently in the research sources on cyclostationary analysis.
Shevgunov T., , in: 2025 Systems of Signals Generating and Processing in the Field of on Board Communications.: IEEE, 2025. P. 1–5.
The paper presents an algorithm for processing secondary radar signals that is based on identification of the characteristic cyclic frequencies specific to the breathing signals of a motionless human. The main procedure of the algorithm consists in sequential processing of signals contained in the range lines of a radar frame. It includes pre-processing to remove ...
Added: February 25, 2026
Dehay D., Leśkow J., Napolitano A. et al., Inventions 2023 Vol. 8 No. 6 Article 152
The signal detection problem for cyclostationary signals is addressed within the fraction-of-time probability framework, where statistical functions are constructed starting from a single time series, without introducing the concept of stochastic process. Single-cycle detectors and quadratic-form detectors based on measurements of the Fourier coefficients of the almost-periodically time-variant cumulative distribution and probability density functions are ...
Added: June 5, 2024
Милостивая А. И., В кн.: Теория и практика коммуникации: Материалы I Международной научно-практической конференции, Тирасполь, Приднестровский государственный университет им. Т. Г. Шевченко, 27-28 февраля 2023 г.: том 1Т. 1.: Тирасполь: [б.и.], 2023. С. 26–36.
This article analyzes modern linguistic synergetics’ concepts to identify this discipline's main ways and prospects in scientific episteme. The author focuses on the paradigm status and explanatory potential of lingua-synergetic studies. Data for this investigation consists of scientific articles, dissertations and monographs, which set out various versions of the synergistic interpretation of speech activity. As ...
Added: February 11, 2024
Shevgunov T., Guschina O., Kuznetsov Y., Applied Sciences (Switzerland) 2021 Vol. 11 No. 20 Article 9711
This paper proposes a cyclostationary based approach to power analysis carried out for electric circuits under arbitrary periodic excitation. Instantaneous power is considered to be a particular case of the two-dimensional cross correlation function (CCF) of the voltage across, and current through, an element in the electric circuit. The cyclostationary notation is used for deriving ...
Added: February 6, 2023
Анисимов В. А., МЕТОД: Московский ежегодник трудов из обществоведческих дисциплин 2021 № 11 С. 286–298
This article provides an overview of the theoretical foundations of intergenerational justice. It is shown that the theory of intergenerational justice has two foundations: a symmetric and an asymmetric approach. It also includes the positions of John Rawls and his symmetric concept of justice; Terence Ball and his idea of radical asymmetry; and Ken Binmore ...
Added: June 1, 2022
Оганов А. Р., Konson G., В кн.: Art History in the Context of Other Sciences in Modern World: Parallels and Interaction.: M.: Information and Publishing House Filin, 2020. С. 278–291.
An interview by Grigoriy Konson with Artem R. Oganov, PhD, FRSC MAE, Professor at the Skolkovo Institute of Science and Technology, Professor at the Russian Academy of Sciences, is devoted to crystallography—the science of solid crystalline substances surrounding us, containing an ordered periodic system of atomic positions. Crystallography is at the forefront of the science ...
Added: May 9, 2021
Shevgunov T., Efimov E., Kirdyashkin V., Periódico Tchê Química 2019 Vol. 16 No. 33 P. 573–588
The paper deals with the radar target discrimination problem performed on complex radar images. The approach based on radial basis function (RBF) artificial neural network (ANN) is proposed for the identification of point scatterers placed within a radar image. The renewed concept of simple adaptive units as the foundation for network assembling allows one to ...
Added: August 25, 2020
Shevgunov T., Periódico Tchê Química 2019 Vol. 16 No. 33 P. 530–540
The angular coordinates of the pulse source are determined by comparing the signals received simultaneously on several channels. To solve this issue, the application of neural networks is highly important. In this article, the application of the artificial neural network (ANN) approach to the task of target localization is discussed. The research was performed on ...
Added: August 25, 2020
Shevgunov T., Efimov E., Kirdyashkin V. et al., , in: Intelligent Systems Reference LibraryVol. 184: Advances in Signal Processing: Theories, Algorithms, and System Control.: Springer, 2020. P. 75–86.
This chapter presents the algorithm for estimating spectral correlation
function of a random process that is a valid bi-frequency description of the probabilistic
properties of any wide-sense cyclostationary process and relates to its cyclic
autocorrelation function via Fourier transform. The key point of the algorithm is that
it is based on the two-dimensional discrete Fourier transform of the sample ...
Added: August 25, 2020
Rasskazov, S.V., Rasskazova, A.N., Koroleva, E.V., , in: 2019 Twelfth International Conference "Management of large-scale system development" (MLSD).: M.: IEEE, 2019. P. 1–5.
The paper provides a methodology for identifying and analyzing group-theoretical symmetry in socio-economic applications. Symmetry is disclosed in the tasks of estimating contingent claims, the main hypotheses of financial markets, time series of stock indexes, including pre-crisis periods, the distribution of urban population and the duration of historical periods. The connection of solutions based on ...
Added: January 23, 2020
Bozin V., Milošević B., Nikitin Y. Y. et al., Bulletin of the Malaysian Mathematical Sciences Society 2020 Vol. 43 No. 1 P. 297–320
Two new symmetry tests, of integral and Kolmogorov type, based on the characterization by squares of linear statistics are proposed. The test statistics are related to the family of degenerate U-statistics. Their asymptotic properties are explored. The maximal eigenvalue, needed for the derivation of their logarithmic tail behavior, was calculated or approximated using techniques from ...
Added: January 4, 2020
Шелупанов А. А., Evsyutin O., Конев А. А. et al., Symmetry 2019 Vol. 11 No. 2 P. 1–33
In Tomsk University of Control Systems and Radioelectronics (TUSUR) one of the main areas of research is information security. The work is carried out by a scientific group under the guidance of Professor Shelupanov. One of the directions is the development of a comprehensive approach to assessing the security of the information systems. This direction ...
Added: September 3, 2019
Shevgunov T., Journal of Physics: Conference Series 2019 Vol. 1163 No. 1 P. 1–6
The paper deals with cyclostationarity as a natural extension of stationarity as the key property in designing the widely-used models of random processes. The comparative example of two processes, one is wide-sense stationary and the other is wide-sense cyclostationary, is given in the paper and reveals the lack of the conventional stationary description based on ...
Added: April 28, 2019
Shevgunov T., Efimov E., Kuznetsov Y., , in: 2018 BALTIC URSI SYMPOSIUM.: IEEE, 2018. P. 184–187.
This paper presents an approach to estimating delays of the cyclostationary signal propagating through tracks of the data bus of a printed circuit board (PCB). The signal path is described by the series of delays estimated using cyclostationary characteristics in the frequency domain. A brief overview of cyclostationarity phenomena is given alongside with the designed ...
Added: April 1, 2019
Shevgunov T., Efimov E., Zhukov D., , in: 2018 Moscow Workshop on Electronic and Networking Technologies (MWENT). Proceedings.: M.: IEEE, 2018. P. 1–4.
Introduced in this paper, the averaged absolute spectral correlation density estimator (AASCD) is based on time-smoothing algorithm of estimating spectral correlation density (SCD) using a long-time sample of discrete signal. The key feature of proposed estimator is compressing the cyclic frequency dimension of SCD estimation to make the matrix containing the SCD estimation cells balanced ...
Added: April 1, 2019
Nikitin Y. Y., Acta et Commentationes Universitatis Tartuensis de Mathematica 2017 Vol. 21 No. 1 P. 3–24
A survey of goodness-of-fit and symmetry tests based on the characterization properties of distributions is presented. This approach became popular in recent years. In most cases the test statistics are functionals of U-empirical processes. The limiting distributions and large deviations of new statistics under the null hypothesis are described. Their local Bahadur efficiency for various ...
Added: November 13, 2017