Non-orthogonal transmission in multi-user systems with Grassmannian beamforming

Minghua Xia, Yikchung Wu, Sonia Aissa

Research output: Chapter in Book/Report/Conference proceedingConference contribution


Aiming to achieve the sum-rate capacity in multiuser multi-input multi-output (MIMO) channels with N t antennas implemented at the transmitter, opportunistic beamforming (OBF) generates N t orthonormal beams and serves N t users during each transmission, which results in high scheduling delay over the users, especially in densely populated wireless networks. Non-orthogonal OBF with more than N t transmit beams can be exploited to serve more users simultaneously and further decreases scheduling delay. However, the inter-beam interference will inevitably deteriorate the sum-rate. Therefore, there is a tradeoff between the sum-rate and the increasing number of transmit beams. In this context, the sum-rate of non-orthogonal OBF with N > N t beams are studied, where the transmitter is based on the Grassmannian beamforming. Our results show that non-orthogonal OBF is an interference-limited system. Moreover, when the inter-beam interference reaches its minimum for fixed N t and N, the sum-rate scales as N ln (N/N-N t) and it decreases monotonically with N for fixed N t. Numerical results corroborate the accuracy of our analyses. © 2011 IEEE.
Original languageEnglish (US)
Title of host publication2011 IEEE International Conference on Communications (ICC)
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
ISBN (Print)9781612842332
StatePublished - Jun 2011


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