Unique Methods for Determining the Attenuation and Delay in Blind Source Separation Based on the Degenerate Unmixing Estimation Technique

The degenerate unmixing estimation technique (DUET), enables facile sound source separation through two signal mixtures. However, in numerous practical situations, identifying peaks in DUET histograms is difficult, which in turn prevents effective source separation. Specifically, sound sources with...

Full description

Bibliographic Details
Main Authors: Kuang-Yow Lian, Jia-Hsin Lin
Format: Article
Language:English
Published: IEEE 2021-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9540649/
_version_ 1811274089373892608
author Kuang-Yow Lian
Jia-Hsin Lin
author_facet Kuang-Yow Lian
Jia-Hsin Lin
author_sort Kuang-Yow Lian
collection DOAJ
description The degenerate unmixing estimation technique (DUET), enables facile sound source separation through two signal mixtures. However, in numerous practical situations, identifying peaks in DUET histograms is difficult, which in turn prevents effective source separation. Specifically, sound sources with short time percentages in mixtures are more unlikely to form peaks in a histogram. Besides, when the noise floor of mixtures is high, the height of the histogram peak may be reduced, which causes peak position bias and prevents effective source separation. In this study, unique methods are proposed to solve the aforementioned problems. A subhistogram is established for each time frame; thus, the original histogram is divided into a series of subhistograms. Two measurement indices are then proposed to identify the accurate attenuation and delay parameters for sound sources: maximum distribution, which is based on the infinity norm, and variance distribution, which is based on variances. The results verify that maximum distribution effectively highlights the peaks of instantaneous sound sources when the time percentage difference between sound sources is excessively high. In this scenario, the conventional histogram is unable to find the peaks. When a strong noise disturbance is present in mixtures, variance distribution can be employed to estimate peak positions with lower biases than those in the conventional histogram. In addition to more well-defined and intense peaks, the proposed method can also reduce the bias error by 71% when the SNR is 0 dB. Variance distribution is more robust against noise disturbance compared to conventional histograms and can be adopted in a wide range of applications.
first_indexed 2024-04-12T23:12:35Z
format Article
id doaj.art-4e20ffaf59884b5aaaa6f987259e2912
institution Directory Open Access Journal
issn 2169-3536
language English
last_indexed 2024-04-12T23:12:35Z
publishDate 2021-01-01
publisher IEEE
record_format Article
series IEEE Access
spelling doaj.art-4e20ffaf59884b5aaaa6f987259e29122022-12-22T03:12:46ZengIEEEIEEE Access2169-35362021-01-01912946012947010.1109/ACCESS.2021.31134579540649Unique Methods for Determining the Attenuation and Delay in Blind Source Separation Based on the Degenerate Unmixing Estimation TechniqueKuang-Yow Lian0https://orcid.org/0000-0002-5692-9279Jia-Hsin Lin1https://orcid.org/0000-0002-0033-7565Department of Electrical Engineering, National Taipei University of Technology, Taipei, TaiwanDepartment of Electrical Engineering, National Taipei University of Technology, Taipei, TaiwanThe degenerate unmixing estimation technique (DUET), enables facile sound source separation through two signal mixtures. However, in numerous practical situations, identifying peaks in DUET histograms is difficult, which in turn prevents effective source separation. Specifically, sound sources with short time percentages in mixtures are more unlikely to form peaks in a histogram. Besides, when the noise floor of mixtures is high, the height of the histogram peak may be reduced, which causes peak position bias and prevents effective source separation. In this study, unique methods are proposed to solve the aforementioned problems. A subhistogram is established for each time frame; thus, the original histogram is divided into a series of subhistograms. Two measurement indices are then proposed to identify the accurate attenuation and delay parameters for sound sources: maximum distribution, which is based on the infinity norm, and variance distribution, which is based on variances. The results verify that maximum distribution effectively highlights the peaks of instantaneous sound sources when the time percentage difference between sound sources is excessively high. In this scenario, the conventional histogram is unable to find the peaks. When a strong noise disturbance is present in mixtures, variance distribution can be employed to estimate peak positions with lower biases than those in the conventional histogram. In addition to more well-defined and intense peaks, the proposed method can also reduce the bias error by 71% when the SNR is 0 dB. Variance distribution is more robust against noise disturbance compared to conventional histograms and can be adopted in a wide range of applications.https://ieeexplore.ieee.org/document/9540649/Attenuation and delay histogramblind source separationDUETinstantaneous sound sourcesW-disjoint orthogonality
spellingShingle Kuang-Yow Lian
Jia-Hsin Lin
Unique Methods for Determining the Attenuation and Delay in Blind Source Separation Based on the Degenerate Unmixing Estimation Technique
IEEE Access
Attenuation and delay histogram
blind source separation
DUET
instantaneous sound sources
W-disjoint orthogonality
title Unique Methods for Determining the Attenuation and Delay in Blind Source Separation Based on the Degenerate Unmixing Estimation Technique
title_full Unique Methods for Determining the Attenuation and Delay in Blind Source Separation Based on the Degenerate Unmixing Estimation Technique
title_fullStr Unique Methods for Determining the Attenuation and Delay in Blind Source Separation Based on the Degenerate Unmixing Estimation Technique
title_full_unstemmed Unique Methods for Determining the Attenuation and Delay in Blind Source Separation Based on the Degenerate Unmixing Estimation Technique
title_short Unique Methods for Determining the Attenuation and Delay in Blind Source Separation Based on the Degenerate Unmixing Estimation Technique
title_sort unique methods for determining the attenuation and delay in blind source separation based on the degenerate unmixing estimation technique
topic Attenuation and delay histogram
blind source separation
DUET
instantaneous sound sources
W-disjoint orthogonality
url https://ieeexplore.ieee.org/document/9540649/
work_keys_str_mv AT kuangyowlian uniquemethodsfordeterminingtheattenuationanddelayinblindsourceseparationbasedonthedegenerateunmixingestimationtechnique
AT jiahsinlin uniquemethodsfordeterminingtheattenuationanddelayinblindsourceseparationbasedonthedegenerateunmixingestimationtechnique