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dc.contributor.authorLi, Wen-Hsuanen_US
dc.contributor.authorWu, Jwo-Yuhen_US
dc.date.accessioned2019-08-02T02:15:29Z-
dc.date.available2019-08-02T02:15:29Z-
dc.date.issued2019-07-01en_US
dc.identifier.issn0018-9448en_US
dc.identifier.urihttp://dx.doi.org/10.1109/TIT.2019.2895638en_US
dc.identifier.urihttp://hdl.handle.net/11536/152185-
dc.description.abstractCooperative beamforming is a potentially useful technique for enhancing link reliability in modern wireless relay communications. To aid the beamforming design, the signal-to-noise ratio (SNR) of the source-to-relay (S-R) channel links must be known at the destination node. Abdallah and Papadopoulos in IEEE Trans. Signal Processing, vol. 56, no. 10, 2008, proposed a beamforming system with relay-assisted SNR acquisition; that is, the S-R link SNR is first quantized at each relay and is then forwarded to the destination. An optimal quantizer design problem was proposed in that paper, aiming at reducing the system bit error rate; however, only the binary quantization case was considered therein, with the quantization threshold computed by a suggested rule of thumb. In this paper, we study the aforementioned quantizer design problem in the general multiple-bit setting. We show that the solutions to the first-order necessary condition for optimality can be obtained as a fixed point of a certain nonlinear map over the feasible threshold set. The existence and uniqueness of the fixed point are established by using, respectively, the Brouwer's and Schauder's fixed point theorems. Finally, we show that the fixed point thus obtained yields the globally optimal set of quantization thresholds. To the best of our knowledge, this paper is the first which leverages fixed point theories to rigorously solve SNR quantization problems in the context of wireless relay communication.en_US
dc.language.isoen_USen_US
dc.subjectRelay communicationsen_US
dc.subjectcooperative communicationsen_US
dc.subjectcooperative beamformingen_US
dc.subjectquantizationen_US
dc.subjectfixed point theoryen_US
dc.subjectBrouwer's fixed point theoremen_US
dc.subjectSchauder's fixed point theoremen_US
dc.titleBER-Improved Quantization of Source-to-Relay Link SNR for Cooperative Beamforming: A Fixed Point Theory Approachen_US
dc.typeArticleen_US
dc.identifier.doi10.1109/TIT.2019.2895638en_US
dc.identifier.journalIEEE TRANSACTIONS ON INFORMATION THEORYen_US
dc.citation.volume65en_US
dc.citation.issue7en_US
dc.citation.spage4532en_US
dc.citation.epage4549en_US
dc.contributor.department交大名義發表zh_TW
dc.contributor.department電信工程研究所zh_TW
dc.contributor.departmentNational Chiao Tung Universityen_US
dc.contributor.departmentInstitute of Communications Engineeringen_US
dc.identifier.wosnumberWOS:000472186800037en_US
dc.citation.woscount0en_US
Appears in Collections:Articles