On the relationship between BELS and IV methods

Li Juan Jia; Takeshi Hanada; Chun Zhi Jin; Zi Jiang Yang; Kiyoshi Wada

On the relationship between BELS and IV methods

Li Juan Jia^*, Takeshi Hanada, Chun Zhi Jin, Zi Jiang Yang, Kiyoshi Wada

^*Corresponding author for this work

Kyushu University

Research output: Contribution to journal › Conference article › peer-review

4 Citations (Scopus)

Abstract

The bias eliminated least squares (BELS) method is one of consistent estimation methods for unknown parameters of transfer function in the presence of colored noise. In this paper, the BELS method is derived in a more general setting by introducing an auxiliary vector and a nonsingular matrix. With the help of matrix-partition technique and matrix analysis, the equivalence of BELS method and IV method under certain conditions is verified through theoretical analysis and simulation studies.

Original language	English
Pages (from-to)	3440-3445
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	3
Publication status	Published - 2002
Externally published	Yes
Event	41st IEEE Conference on Decision and Control - Las Vegas, NV, United States Duration: 10 Dec 2002 → 13 Dec 2002

Cite this

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title = "On the relationship between BELS and IV methods",

abstract = "The bias eliminated least squares (BELS) method is one of consistent estimation methods for unknown parameters of transfer function in the presence of colored noise. In this paper, the BELS method is derived in a more general setting by introducing an auxiliary vector and a nonsingular matrix. With the help of matrix-partition technique and matrix analysis, the equivalence of BELS method and IV method under certain conditions is verified through theoretical analysis and simulation studies.",

author = "Jia, {Li Juan} and Takeshi Hanada and Jin, {Chun Zhi} and Yang, {Zi Jiang} and Kiyoshi Wada",

year = "2002",

language = "English",

volume = "3",

pages = "3440--3445",

journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0743-1546",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "41st IEEE Conference on Decision and Control ; Conference date: 10-12-2002 Through 13-12-2002",

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TY - JOUR

T1 - On the relationship between BELS and IV methods

AU - Jia, Li Juan

AU - Hanada, Takeshi

AU - Jin, Chun Zhi

AU - Yang, Zi Jiang

AU - Wada, Kiyoshi

PY - 2002

Y1 - 2002

N2 - The bias eliminated least squares (BELS) method is one of consistent estimation methods for unknown parameters of transfer function in the presence of colored noise. In this paper, the BELS method is derived in a more general setting by introducing an auxiliary vector and a nonsingular matrix. With the help of matrix-partition technique and matrix analysis, the equivalence of BELS method and IV method under certain conditions is verified through theoretical analysis and simulation studies.

AB - The bias eliminated least squares (BELS) method is one of consistent estimation methods for unknown parameters of transfer function in the presence of colored noise. In this paper, the BELS method is derived in a more general setting by introducing an auxiliary vector and a nonsingular matrix. With the help of matrix-partition technique and matrix analysis, the equivalence of BELS method and IV method under certain conditions is verified through theoretical analysis and simulation studies.

UR - http://www.scopus.com/inward/record.url?scp=0036992822&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:0036992822

SN - 0743-1546

VL - 3

SP - 3440

EP - 3445

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

T2 - 41st IEEE Conference on Decision and Control

Y2 - 10 December 2002 through 13 December 2002

ER -

On the relationship between BELS and IV methods

Abstract

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