Ranking Power Spectra: A Proof of Concept

To characterize the irregularity of the spectrum of a signal, spectral entropy and its variants are widely adopted measures. However, spectral entropy is invariant under the permutation of the power spectrum estimations on a predefined grid. This erases the inherent order structure in the spectrum....

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Main Authors: Xilin Yu, Zhenning Mei, Chen Chen, Wei Chen
Format: Article
Language:English
Published: MDPI AG 2019-10-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/21/11/1057
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author Xilin Yu
Zhenning Mei
Chen Chen
Wei Chen
author_facet Xilin Yu
Zhenning Mei
Chen Chen
Wei Chen
author_sort Xilin Yu
collection DOAJ
description To characterize the irregularity of the spectrum of a signal, spectral entropy and its variants are widely adopted measures. However, spectral entropy is invariant under the permutation of the power spectrum estimations on a predefined grid. This erases the inherent order structure in the spectrum. To disentangle the order structure and extract meaningful information from raw digital signal, a novel analysis method is necessary. In this paper, we tried to unfold this order structure by defining descriptors mapping real- and vector-valued power spectrum estimation of a signal into a scalar value. The proposed descriptors showed its potential in diverse problems. Significant differences were observed from brain signals and surface electromyography of different pathological/physiological states. Drastic change accompanied by the alteration of the underlying process of signals enables it as a candidate feature for seizure detection and endpoint detection in speech signal. Since the order structure in the spectrum of physiological signal carries previously ignored information, which cannot be properly extracted by existing techniques, this paper takes one step forward along this direction by proposing computationally efficient descriptors with guaranteed information gain. To the best of our knowledge, this is the first work revealing the effectiveness of the order structure in the spectrum in physiological signal processing.
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spelling doaj.art-2c64f4e797c94a20b95843cb60ee513c2022-12-22T04:01:02ZengMDPI AGEntropy1099-43002019-10-012111105710.3390/e21111057e21111057Ranking Power Spectra: A Proof of ConceptXilin Yu0Zhenning Mei1Chen Chen2Wei Chen3Center for Intelligent Medical Electronics (CIME), Fudan University, Shanghai 200433, ChinaCenter for Intelligent Medical Electronics (CIME), Fudan University, Shanghai 200433, ChinaCenter for Intelligent Medical Electronics (CIME), Fudan University, Shanghai 200433, ChinaCenter for Intelligent Medical Electronics (CIME), Fudan University, Shanghai 200433, ChinaTo characterize the irregularity of the spectrum of a signal, spectral entropy and its variants are widely adopted measures. However, spectral entropy is invariant under the permutation of the power spectrum estimations on a predefined grid. This erases the inherent order structure in the spectrum. To disentangle the order structure and extract meaningful information from raw digital signal, a novel analysis method is necessary. In this paper, we tried to unfold this order structure by defining descriptors mapping real- and vector-valued power spectrum estimation of a signal into a scalar value. The proposed descriptors showed its potential in diverse problems. Significant differences were observed from brain signals and surface electromyography of different pathological/physiological states. Drastic change accompanied by the alteration of the underlying process of signals enables it as a candidate feature for seizure detection and endpoint detection in speech signal. Since the order structure in the spectrum of physiological signal carries previously ignored information, which cannot be properly extracted by existing techniques, this paper takes one step forward along this direction by proposing computationally efficient descriptors with guaranteed information gain. To the best of our knowledge, this is the first work revealing the effectiveness of the order structure in the spectrum in physiological signal processing.https://www.mdpi.com/1099-4300/21/11/1057biomedical signal processingorder structurespectral entropy
spellingShingle Xilin Yu
Zhenning Mei
Chen Chen
Wei Chen
Ranking Power Spectra: A Proof of Concept
Entropy
biomedical signal processing
order structure
spectral entropy
title Ranking Power Spectra: A Proof of Concept
title_full Ranking Power Spectra: A Proof of Concept
title_fullStr Ranking Power Spectra: A Proof of Concept
title_full_unstemmed Ranking Power Spectra: A Proof of Concept
title_short Ranking Power Spectra: A Proof of Concept
title_sort ranking power spectra a proof of concept
topic biomedical signal processing
order structure
spectral entropy
url https://www.mdpi.com/1099-4300/21/11/1057
work_keys_str_mv AT xilinyu rankingpowerspectraaproofofconcept
AT zhenningmei rankingpowerspectraaproofofconcept
AT chenchen rankingpowerspectraaproofofconcept
AT weichen rankingpowerspectraaproofofconcept