The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Neste artigo, são introduzidos os usos efetivos dos raios de Gerschgorin da matriz de covariância transformada semelhante para estimativa do número fonte. Uma abordagem heurística é usada para desenvolver os critérios de detecção. A abordagem heurística aplicando o método visual do disco de Gerschgorin (VGD), desenvolvido a partir do conceito de projeção, supera os problemas em casos de pequenas amostras de dados, modelo de ruído desconhecido e dependência de dados. Além disso, os discos de Gerschgorin podem ser formados em duas coleções distintas e não sobrepostas; um para sinais e outro para ruídos. O número de fontes pode ser determinado visualmente contando o número de discos de Gerschgorin para sinais. O método proposto é baseado no coeficiente de correlação amostral para normalizar os raios de Gerschgorin do sinal para detecção do número da fonte. O desempenho do VGD mostra capacidades de detecção aprimoradas em relação ao Gerschgorin Disk Estimator (GDE) no processo de ruído branco gaussiano e foi usado com sucesso em dados experimentais medidos.
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Hsien-Tsai WU, "A Sample Correlation Method for Source Number Detection" in IEICE TRANSACTIONS on Fundamentals,
vol. E83-A, no. 8, pp. 1634-1640, August 2000, doi: .
Abstract: In this paper, the effective uses of Gerschgorin radii of the similar transformed covariance matrix for source number estimation are introduced. A heuristic approach is used for developing the detection criteria. The heuristic approach applying the visual Gerschgorin disk method (VGD), developed from the projection concept, overcomes the problems in cases of small data samples, an unknown noise model, and data dependency. Furthermore, Gerschgorin disks can be formed into two distinct, non-overlapping collections; one for signals and the other for noises. The number of sources can be visually determined by counting the number of Gerschgorin disks for signals. The proposed method is based on the sample correlation coefficient to normalize the signal Gerschgorin radii for source number detection. The performance of VGD shows improved detection capabilities over Gerschgorin Disk Estimator (GDE) in Gaussian white noise process and was used successfully in measured experimental data.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e83-a_8_1634/_p
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@ARTICLE{e83-a_8_1634,
author={Hsien-Tsai WU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Sample Correlation Method for Source Number Detection},
year={2000},
volume={E83-A},
number={8},
pages={1634-1640},
abstract={In this paper, the effective uses of Gerschgorin radii of the similar transformed covariance matrix for source number estimation are introduced. A heuristic approach is used for developing the detection criteria. The heuristic approach applying the visual Gerschgorin disk method (VGD), developed from the projection concept, overcomes the problems in cases of small data samples, an unknown noise model, and data dependency. Furthermore, Gerschgorin disks can be formed into two distinct, non-overlapping collections; one for signals and the other for noises. The number of sources can be visually determined by counting the number of Gerschgorin disks for signals. The proposed method is based on the sample correlation coefficient to normalize the signal Gerschgorin radii for source number detection. The performance of VGD shows improved detection capabilities over Gerschgorin Disk Estimator (GDE) in Gaussian white noise process and was used successfully in measured experimental data.},
keywords={},
doi={},
ISSN={},
month={August},}
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TY - JOUR
TI - A Sample Correlation Method for Source Number Detection
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1634
EP - 1640
AU - Hsien-Tsai WU
PY - 2000
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E83-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2000
AB - In this paper, the effective uses of Gerschgorin radii of the similar transformed covariance matrix for source number estimation are introduced. A heuristic approach is used for developing the detection criteria. The heuristic approach applying the visual Gerschgorin disk method (VGD), developed from the projection concept, overcomes the problems in cases of small data samples, an unknown noise model, and data dependency. Furthermore, Gerschgorin disks can be formed into two distinct, non-overlapping collections; one for signals and the other for noises. The number of sources can be visually determined by counting the number of Gerschgorin disks for signals. The proposed method is based on the sample correlation coefficient to normalize the signal Gerschgorin radii for source number detection. The performance of VGD shows improved detection capabilities over Gerschgorin Disk Estimator (GDE) in Gaussian white noise process and was used successfully in measured experimental data.
ER -