On Fixed Input Distributions for Noncoherent Communication Over High-SNR Rayleigh-Fading Channels.
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| Title: | On Fixed Input Distributions for Noncoherent Communication Over High-SNR Rayleigh-Fading Channels. |
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| Authors: | Rong-Rong Chen1 rchen@ece.utah.edu, Hajek, Bruce2 b-hajek@uiuc.edu, Koetter, Ralf2 koetter@uiuc.edu, Madhow, Upamanyu3 madhow@ece.ucsb.edu |
| Source: | IEEE Transactions on Information Theory. Dec2004, Vol. 50 Issue 12, p3390-3396. 7p. |
| Subjects: | Random noise theory, Signal-to-noise ratio, Rayleigh scattering, Markov processes, Information theory, Radio transmitter fading |
| Abstract: | It is well known that independent and identically distributed Gaussian inputs, scaled appropriately based on the signal-to-noise ratio (SNR), achieve capacity on the additive white Gaussian noise (AWGN) channel at all values of SNR. In this correspondence, we consider the question of whether such good input distributions exist for frequency-non-selective Rayleigh-fading channels, assuming that neither the transmitter nor the receiver has a priori knowledge of the fading coefficients. In this noncoherent regime, for a Gauss-Markov model of the fading channel, we obtain explicit mutual information bounds for the Gaussian input distribution. The fact that Gaussian input generates bounded mutual information motivates the search for better choices of fixed input distributions for high-rate transmission over rapidly varying channels. Necessary and sufficient conditions are derived for characterizing such distributions for the worst case scenario of memoryless fading, using the criterion that the mutual information is unbounded as the SNR gets large. Examples of both discrete and continuous distributions that satisfy these conditions are given. A family of fixed input distributions with mutual information growth rate of O((log log SNR)1-u), u > 0 are constructed. It is also proved that there does not exist a single fixed-input distribution that achieves the optimal mutual information growth rate of log log SNR. [ABSTRACT FROM AUTHOR] |
| Copyright of IEEE Transactions on Information Theory 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.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 15400333 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: On Fixed Input Distributions for Noncoherent Communication Over High-SNR Rayleigh-Fading Channels. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Rong-Rong+Chen%22">Rong-Rong Chen</searchLink><relatesTo>1</relatesTo><i> rchen@ece.utah.edu</i><br /><searchLink fieldCode="AR" term="%22Hajek%2C+Bruce%22">Hajek, Bruce</searchLink><relatesTo>2</relatesTo><i> b-hajek@uiuc.edu</i><br /><searchLink fieldCode="AR" term="%22Koetter%2C+Ralf%22">Koetter, Ralf</searchLink><relatesTo>2</relatesTo><i> koetter@uiuc.edu</i><br /><searchLink fieldCode="AR" term="%22Madhow%2C+Upamanyu%22">Madhow, Upamanyu</searchLink><relatesTo>3</relatesTo><i> madhow@ece.ucsb.edu</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22IEEE+Transactions+on+Information+Theory%22">IEEE Transactions on Information Theory</searchLink>. Dec2004, Vol. 50 Issue 12, p3390-3396. 7p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Random+noise+theory%22">Random noise theory</searchLink><br /><searchLink fieldCode="DE" term="%22Signal-to-noise+ratio%22">Signal-to-noise ratio</searchLink><br /><searchLink fieldCode="DE" term="%22Rayleigh+scattering%22">Rayleigh scattering</searchLink><br /><searchLink fieldCode="DE" term="%22Markov+processes%22">Markov processes</searchLink><br /><searchLink fieldCode="DE" term="%22Information+theory%22">Information theory</searchLink><br /><searchLink fieldCode="DE" term="%22Radio+transmitter+fading%22">Radio transmitter fading</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: It is well known that independent and identically distributed Gaussian inputs, scaled appropriately based on the signal-to-noise ratio (SNR), achieve capacity on the additive white Gaussian noise (AWGN) channel at all values of SNR. In this correspondence, we consider the question of whether such good input distributions exist for frequency-non-selective Rayleigh-fading channels, assuming that neither the transmitter nor the receiver has a priori knowledge of the fading coefficients. In this noncoherent regime, for a Gauss-Markov model of the fading channel, we obtain explicit mutual information bounds for the Gaussian input distribution. The fact that Gaussian input generates bounded mutual information motivates the search for better choices of fixed input distributions for high-rate transmission over rapidly varying channels. Necessary and sufficient conditions are derived for characterizing such distributions for the worst case scenario of memoryless fading, using the criterion that the mutual information is unbounded as the SNR gets large. Examples of both discrete and continuous distributions that satisfy these conditions are given. A family of fixed input distributions with mutual information growth rate of O((log log SNR)1-u), u > 0 are constructed. It is also proved that there does not exist a single fixed-input distribution that achieves the optimal mutual information growth rate of log log SNR. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of IEEE Transactions on Information Theory 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/TIT.2004.838356 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 7 StartPage: 3390 Subjects: – SubjectFull: Random noise theory Type: general – SubjectFull: Signal-to-noise ratio Type: general – SubjectFull: Rayleigh scattering Type: general – SubjectFull: Markov processes Type: general – SubjectFull: Information theory Type: general – SubjectFull: Radio transmitter fading Type: general Titles: – TitleFull: On Fixed Input Distributions for Noncoherent Communication Over High-SNR Rayleigh-Fading Channels. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Rong-Rong Chen – PersonEntity: Name: NameFull: Hajek, Bruce – PersonEntity: Name: NameFull: Koetter, Ralf – PersonEntity: Name: NameFull: Madhow, Upamanyu IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 12 Text: Dec2004 Type: published Y: 2004 Identifiers: – Type: issn-print Value: 00189448 Numbering: – Type: volume Value: 50 – Type: issue Value: 12 Titles: – TitleFull: IEEE Transactions on Information Theory Type: main |
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