Averaged Absolute Spectral Correlation Density Estimator

T. Shevgunov; Efimov E.; Zhukov D.

doi:10.1109/MWENT.2018.8337271

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Averaged Absolute Spectral Correlation Density Estimator

P. 1–4.

Shevgunov T., Efimov E., Zhukov D.

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 in both dimensions. The compressing is performed by means of averaging the absolute values of SCD in blocks of neighboring cyclic frequencies which prevents any components of a signal possessing wide-sense cyclostationarity from leaving out of the coverage of the estimator. The application of the proposed algorithm to the cyclic property analysis of the baseband signal in a digital interface measured by an oscilloscope allowed to visualize the estimator over bifrequency plane “frequency–cyclic frequency” via a color plot. Further searching regions with relatively high level of correlation for fine peaks gave an opportunity to estimate the exact values of cyclic frequencies inherent to the process under investigation.

Language: English

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DOI

Keywords: Cyclostationarity spectral correlation analysis cyclic spectrum spectral correlation density

In book

2018 Moscow Workshop on Electronic and Networking Technologies (MWENT). Proceedings

M.: IEEE, 2018.

On Non-Symmetric Forms of Time-Varying Autocorrelation Function in the Analysis of Cyclostationary Processes

Shevgunov T., , in: 2024 Systems of signals generating and processing in the field of on board communications.: IEEE, 2024. 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 ...

Added: February 25, 2026

The Development of a Respiration Signal Detecting Algorithm Exploiting Cyclostationary Properties

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

Cyclic Detectors in the Fraction-of-Time Probability Framework

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

Cyclostationary Approach to the Analysis of the Power in Electric Circuits under Periodic Excitations

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

Scattering target identification based on radial basis function artificial neural networks in the presence of non-stationary noise

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

Using artificial neural networks for time difference of arrival target localization based on reduced discrete cosine transform

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

The Development of the Algorithm for Estimating the Spectral Correlation Function Based on Two-Dimensional Fast Fourier Transform

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

A comparative example of cyclostationary description of a non-stationary random process

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

Time Delay Estimation of Cyclostationary Signals on PCB Using Spectral Correlation Function

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