Derivations of decoder and beamforming vector for amplify-and-forward relays based on the Cauchy-Schwartz inequality

Authors:
Seokkwon Kim;Joontae Kim;Won-Chul Choi;Dong-Jo Park
Affiliations:
School of Electrical Engineering and Computer Science, Korea Advanced Institute of Science and Technology, Deajeon, Republic of Korea;School of Electrical Engineering and Computer Science, Korea Advanced Institute of Science and Technology, Deajeon, Republic of Korea;School of Electrical Engineering and Computer Science, Korea Advanced Institute of Science and Technology, Deajeon, Republic of Korea;School of Electrical Engineering and Computer Science, Korea Advanced Institute of Science and Technology, Deajeon, Republic of Korea
Venue:
ISCIT'09 Proceedings of the 9th international conference on Communications and information technologies
Year:
2009

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Abstract

For multiple amplify-and-forward (AF) relays, optimal decoder and beamforming vector have been presented [3], [4]. The derivations of these optimal ones have been based on the generalized eigenvalue problem. In this work, we show the derivations using the Cauchy-Schwartz inequality. Moreover, the intimate relation between decoder and beamforming vector is analyzed.