Complex Parameter Rao, Wald, Gradient, and Durbin Tests for Multichannel Signal Detection.
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| Title: | Complex Parameter Rao, Wald, Gradient, and Durbin Tests for Multichannel Signal Detection. |
|---|---|
| Authors: | Sun, Mengru1 (AUTHOR) sunmengru@mail.ioa.ac.cn, sunmengru95@126.com, Liu, Weijian2 (AUTHOR) liuvjian@163.com, Liu, Jun3 (AUTHOR) junliu@ustc.edu.cn, Hao, Chengpeng4 (AUTHOR) haochengp@mail.ioa.ac.cn |
| Source: | IEEE Transactions on Signal Processing. 2022, Vol. 70, p117-131. 15p. |
| Subjects: | Parameters (Statistics), Signal detection, Fisher information, Gaussian distribution, Multichannel communication, Likelihood ratio tests, Probability density function |
| Abstract: | In the problem of multichannel signal detection, when it comes to the detector design criteria apart from the generalized likelihood ratio test, the traditional method is to cascade the real and imaginary parts of the parameters, and then substitute them into the real parameter statistics. This method is not succinct, and sometimes may be cumbersome and difficult to handle. Recently, a complex parameter Rao test was introduced by Kay and Zhu without the need of cascading the real and imaginary parts of the complex parameters when there is no nuisance parameter. Inspired by this work, we move a further step toward the complex parameter statistics of the Rao, Wald, gradient, and Durbin tests both with and without nuisance parameters, and derive the relationships between their real and complex parameter statistics. Moreover, for a special Fisher information matrix which often holds in practice, we derive a series of simple forms of the complex parameter statistics for the above four criteria, and discuss their application conditions in linear multivariate complex circular Gaussian distribution. Finally, several application examples are given to confirm the proposed schemes. [ABSTRACT FROM AUTHOR] |
| Copyright of IEEE Transactions on Signal Processing is the property of IEEE and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
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| Items | – Name: Title Label: Title Group: Ti Data: Complex Parameter Rao, Wald, Gradient, and Durbin Tests for Multichannel Signal Detection. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Sun%2C+Mengru%22">Sun, Mengru</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> sunmengru@mail.ioa.ac.cn, sunmengru95@126.com</i><br /><searchLink fieldCode="AR" term="%22Liu%2C+Weijian%22">Liu, Weijian</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> liuvjian@163.com</i><br /><searchLink fieldCode="AR" term="%22Liu%2C+Jun%22">Liu, Jun</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> junliu@ustc.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Hao%2C+Chengpeng%22">Hao, Chengpeng</searchLink><relatesTo>4</relatesTo> (AUTHOR)<i> haochengp@mail.ioa.ac.cn</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22IEEE+Transactions+on+Signal+Processing%22">IEEE Transactions on Signal Processing</searchLink>. 2022, Vol. 70, p117-131. 15p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Parameters+%28Statistics%29%22">Parameters (Statistics)</searchLink><br /><searchLink fieldCode="DE" term="%22Signal+detection%22">Signal detection</searchLink><br /><searchLink fieldCode="DE" term="%22Fisher+information%22">Fisher information</searchLink><br /><searchLink fieldCode="DE" term="%22Gaussian+distribution%22">Gaussian distribution</searchLink><br /><searchLink fieldCode="DE" term="%22Multichannel+communication%22">Multichannel communication</searchLink><br /><searchLink fieldCode="DE" term="%22Likelihood+ratio+tests%22">Likelihood ratio tests</searchLink><br /><searchLink fieldCode="DE" term="%22Probability+density+function%22">Probability density function</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In the problem of multichannel signal detection, when it comes to the detector design criteria apart from the generalized likelihood ratio test, the traditional method is to cascade the real and imaginary parts of the parameters, and then substitute them into the real parameter statistics. This method is not succinct, and sometimes may be cumbersome and difficult to handle. Recently, a complex parameter Rao test was introduced by Kay and Zhu without the need of cascading the real and imaginary parts of the complex parameters when there is no nuisance parameter. Inspired by this work, we move a further step toward the complex parameter statistics of the Rao, Wald, gradient, and Durbin tests both with and without nuisance parameters, and derive the relationships between their real and complex parameter statistics. Moreover, for a special Fisher information matrix which often holds in practice, we derive a series of simple forms of the complex parameter statistics for the above four criteria, and discuss their application conditions in linear multivariate complex circular Gaussian distribution. Finally, several application examples are given to confirm the proposed schemes. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of IEEE Transactions on Signal Processing is the property of IEEE and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1109/TSP.2021.3132485 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 15 StartPage: 117 Subjects: – SubjectFull: Parameters (Statistics) Type: general – SubjectFull: Signal detection Type: general – SubjectFull: Fisher information Type: general – SubjectFull: Gaussian distribution Type: general – SubjectFull: Multichannel communication Type: general – SubjectFull: Likelihood ratio tests Type: general – SubjectFull: Probability density function Type: general Titles: – TitleFull: Complex Parameter Rao, Wald, Gradient, and Durbin Tests for Multichannel Signal Detection. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Sun, Mengru – PersonEntity: Name: NameFull: Liu, Weijian – PersonEntity: Name: NameFull: Liu, Jun – PersonEntity: Name: NameFull: Hao, Chengpeng IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Text: 2022 Type: published Y: 2022 Identifiers: – Type: issn-print Value: 1053587X Numbering: – Type: volume Value: 70 Titles: – TitleFull: IEEE Transactions on Signal Processing Type: main |
| ResultId | 1 |
