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On Comparing and Clustering the Spectral Densities of Several Almost Cyclostationary Processes

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Date

2020

Journal Title

Journal ISSN

Volume Title

Publisher

Elsevier

Open Access Color

GOLD

Green Open Access

Yes

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Publicly Funded

No
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Top 10%
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Top 10%
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Top 10%

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Abstract

In time series analysis, comparing spectral densities of several processes with almost peri-odic spectra is an interested problem. The contribution of this work is to give a technique to com-pare and to cluster the spectral densities of some independent almost periodically correlated (cyclostationary) processes. This approach is based on the limiting distribution for the periodogram and the discrete Fourier transform. The real world examples and simulation results indicate that the approach well acts. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/ 4.0/).

Description

Pho, Kim Hung/0000-0001-9743-1306; Borodin, Kirill/0000-0001-5536-4256

Keywords

Almost Periodically Corre-Lated Processes, Almost Cyclostationary Processes, Classification, Clustering, Spectral Density, Blind Source Separation and Independent Component Analysis, CYCLOSTATIONARY, Astronomy, Social Sciences, FOS: Mechanical engineering, CLUSTERING, Cluster (spacecraft), ALMOST PERIODICALLY CORRELATED PROCESSES, Clustering of Time Series Data and Algorithms, Engineering, Spectral clustering, Series (stratigraphy), Periodogram, Spectral density estimation, Physics, Statistics, ALMOST PERIODIC, Classification, Engineering (General). Civil engineering (General), Almost periodically correlated processes, Fourier analysis, Mechanical engineering, Programming language, Algorithm, Economics, Econometrics and Finance, Physical Sciences, Fourier transform, Telecommunications, TA1-2040, Convolutional Mixtures, Spectral line, Economics and Econometrics, LIMITING DISTRIBUTIONS, Limiting, Econophysics: Complexity in Financial Markets, CYCLOSTATIONARY PROCESS, Mathematical analysis, CLASSIFICATION, Clustering, TIME SERIES ANALYSIS, SPECTRAL DENSITY, Cluster analysis, Spectral density, FOS: Mathematics, Discrete Fourier transform (general), Biology, Dynamic Time Warping, Distribution (mathematics), Paleontology, Computer science, PERIODOGRAMS, Cyclostationary process, Almost cyclostationary processes, Channel (broadcasting), Signal Processing, Computer Science, Short-time Fourier transform, Similarity Measures, Statistical physics, ALMOST CYCLOSTATIONARY PROCESSES, DISCRETE FOURIER TRANSFORMS, Temporal Structure, REAL-WORLD, Mathematics

Fields of Science

02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics

Citation

Mahmoudi, Mohammad Reza...et al. (2020). "On comparing and clustering the spectral densities of several almost cyclostationary processes", Alexandria Engineering Journal, Vol. 59, No. 4, pp. 2555-2565.

WoS Q

Q1

Scopus Q

Q1
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OpenCitations Citation Count
16

Source

Alexandria Engineering Journal

Volume

59

Issue

4

Start Page

2555

End Page

2565
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Citations

CrossRef : 16

Scopus : 19

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Mendeley Readers : 4

SCOPUS™ Citations

19

checked on Feb 24, 2026

Web of Science™ Citations

16

checked on Feb 24, 2026

Page Views

5

checked on Feb 24, 2026

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2.06885949

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