An Extension of MUSIC Exploiting Higher-Order Moments via Nonlinear Mapping

Yuya SUGIMOTO; Shigeki MIYABE; Takeshi YAMADA; Shoji MAKINO; Biing-Hwang JUANG

doi:10.1587/transfun.E99.A.1152

An Extension of MUSIC Exploiting Higher-Order Moments via Nonlinear Mapping

Yuya SUGIMOTO, Shigeki MIYABE, Takeshi YAMADA, Shoji MAKINO, Biing-Hwang JUANG

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MUltiple SIgnal Classification (MUSIC) is a standard technique for direction of arrival (DOA) estimation with high resolution. However, MUSIC cannot estimate DOAs accurately in the case of underdetermined conditions, where the number of sources exceeds the number of microphones. To overcome this drawback, an extension of MUSIC using cumulants called 2q-MUSIC has been proposed, but this method greatly suffers from the variance of the statistics, given as the temporal mean of the observation process, and requires long observation. In this paper, we propose a new approach for extending MUSIC that exploits higher-order moments of the signal for the underdetermined DOA estimation with smaller variance. We propose an estimation algorithm that nonlinearly maps the observed signal onto a space with expanded dimensionality and conducts MUSIC-based correlation analysis in the expanded space. Since the dimensionality of the noise subspace is increased by the mapping, the proposed method enables the estimation of DOAs in the case of underdetermined conditions. Furthermore, we describe the class of mapping that allows us to analyze the higher-order moments of the observed signal in the original space. We compare 2q-MUSIC and the proposed method through an experiment assuming that the true number of sources is known as prior information to evaluate in terms of the bias-variance tradeoff of the statistics and computational complexity. The results clarify that the proposed method has advantages for both computational complexity and estimation accuracy in short-time analysis, i.e., the time duration of the analyzed data is short.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E99-A No.6 pp.1152-1162

Publication Date: 2016/06/01

Publicized

Online ISSN: 1745-1337

DOI: 10.1587/transfun.E99.A.1152

Type of Manuscript: PAPER

Category: Engineering Acoustics

Authors

Yuya SUGIMOTO
  University of Tsukuba
Shigeki MIYABE
  University of Tsukuba
Takeshi YAMADA
  University of Tsukuba
Shoji MAKINO
  University of Tsukuba
Biing-Hwang JUANG
  Georgia Institute of Technology

Keyword

underdetermined DOA estimation, microphone array, MUSIC, 2q-MUSIC, higher-order statistics

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Yuya SUGIMOTO, Shigeki MIYABE, Takeshi YAMADA, Shoji MAKINO, Biing-Hwang JUANG, "An Extension of MUSIC Exploiting Higher-Order Moments via Nonlinear Mapping" in IEICE TRANSACTIONS on Fundamentals, vol. E99-A, no. 6, pp. 1152-1162, June 2016, doi: 10.1587/transfun.E99.A.1152.
Abstract: MUltiple SIgnal Classification (MUSIC) is a standard technique for direction of arrival (DOA) estimation with high resolution. However, MUSIC cannot estimate DOAs accurately in the case of underdetermined conditions, where the number of sources exceeds the number of microphones. To overcome this drawback, an extension of MUSIC using cumulants called 2q-MUSIC has been proposed, but this method greatly suffers from the variance of the statistics, given as the temporal mean of the observation process, and requires long observation. In this paper, we propose a new approach for extending MUSIC that exploits higher-order moments of the signal for the underdetermined DOA estimation with smaller variance. We propose an estimation algorithm that nonlinearly maps the observed signal onto a space with expanded dimensionality and conducts MUSIC-based correlation analysis in the expanded space. Since the dimensionality of the noise subspace is increased by the mapping, the proposed method enables the estimation of DOAs in the case of underdetermined conditions. Furthermore, we describe the class of mapping that allows us to analyze the higher-order moments of the observed signal in the original space. We compare 2q-MUSIC and the proposed method through an experiment assuming that the true number of sources is known as prior information to evaluate in terms of the bias-variance tradeoff of the statistics and computational complexity. The results clarify that the proposed method has advantages for both computational complexity and estimation accuracy in short-time analysis, i.e., the time duration of the analyzed data is short.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/transfun.E99.A.1152/_p

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@ARTICLE{e99-a_6_1152,
author={Yuya SUGIMOTO, Shigeki MIYABE, Takeshi YAMADA, Shoji MAKINO, Biing-Hwang JUANG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={An Extension of MUSIC Exploiting Higher-Order Moments via Nonlinear Mapping},
year={2016},
volume={E99-A},
number={6},
pages={1152-1162},
abstract={MUltiple SIgnal Classification (MUSIC) is a standard technique for direction of arrival (DOA) estimation with high resolution. However, MUSIC cannot estimate DOAs accurately in the case of underdetermined conditions, where the number of sources exceeds the number of microphones. To overcome this drawback, an extension of MUSIC using cumulants called 2q-MUSIC has been proposed, but this method greatly suffers from the variance of the statistics, given as the temporal mean of the observation process, and requires long observation. In this paper, we propose a new approach for extending MUSIC that exploits higher-order moments of the signal for the underdetermined DOA estimation with smaller variance. We propose an estimation algorithm that nonlinearly maps the observed signal onto a space with expanded dimensionality and conducts MUSIC-based correlation analysis in the expanded space. Since the dimensionality of the noise subspace is increased by the mapping, the proposed method enables the estimation of DOAs in the case of underdetermined conditions. Furthermore, we describe the class of mapping that allows us to analyze the higher-order moments of the observed signal in the original space. We compare 2q-MUSIC and the proposed method through an experiment assuming that the true number of sources is known as prior information to evaluate in terms of the bias-variance tradeoff of the statistics and computational complexity. The results clarify that the proposed method has advantages for both computational complexity and estimation accuracy in short-time analysis, i.e., the time duration of the analyzed data is short.},
keywords={},
doi={10.1587/transfun.E99.A.1152},
ISSN={1745-1337},
month={June},}

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TY - JOUR
TI - An Extension of MUSIC Exploiting Higher-Order Moments via Nonlinear Mapping
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1152
EP - 1162
AU - Yuya SUGIMOTO
AU - Shigeki MIYABE
AU - Takeshi YAMADA
AU - Shoji MAKINO
AU - Biing-Hwang JUANG
PY - 2016
DO - 10.1587/transfun.E99.A.1152
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E99-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 2016
AB - MUltiple SIgnal Classification (MUSIC) is a standard technique for direction of arrival (DOA) estimation with high resolution. However, MUSIC cannot estimate DOAs accurately in the case of underdetermined conditions, where the number of sources exceeds the number of microphones. To overcome this drawback, an extension of MUSIC using cumulants called 2q-MUSIC has been proposed, but this method greatly suffers from the variance of the statistics, given as the temporal mean of the observation process, and requires long observation. In this paper, we propose a new approach for extending MUSIC that exploits higher-order moments of the signal for the underdetermined DOA estimation with smaller variance. We propose an estimation algorithm that nonlinearly maps the observed signal onto a space with expanded dimensionality and conducts MUSIC-based correlation analysis in the expanded space. Since the dimensionality of the noise subspace is increased by the mapping, the proposed method enables the estimation of DOAs in the case of underdetermined conditions. Furthermore, we describe the class of mapping that allows us to analyze the higher-order moments of the observed signal in the original space. We compare 2q-MUSIC and the proposed method through an experiment assuming that the true number of sources is known as prior information to evaluate in terms of the bias-variance tradeoff of the statistics and computational complexity. The results clarify that the proposed method has advantages for both computational complexity and estimation accuracy in short-time analysis, i.e., the time duration of the analyzed data is short.
ER -