Optimum feedback quantization in an opportunistic beamforming scheme
ABSTRACT In recent years, digital beamforming has evolved into an excellent technology to improve wireless communications over fading channels. Especially in slow fading environments with a sufficient number of users in the system, opportunistic beamforming through multiuser diversity  has offered some advantages over true beamforming methods that rely on full channel feedback and/or robust channel estimation methods. Opportunistic beamforming achieves good throughput with only signal-to-noise ratio (SNR) feedback from the users. The quality of the SNR feedback such as the degree of SNR quantization is essential for opportunistic beamforming because the base station selects the best receiving user based on the SNR measurements sent by the users. In this paper, we develop an optimum SNR quantization method performed by the users and analyze its impact on the system throughput. While keeping the fairness among the users, we show that the opportunistic beamforming gain can still be realized with the help of the proposed quantization method. Theoretical analysis and computer simulation results show the feasibility and effectiveness of the method which provides insights for engineers to implement opportunistic beamforming in practice.
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ABSTRACT: Simultaneous multiuser beamforming in multiantenna downlink channels can entail dirty paper (DP) precoding (optimal and high complexity) or linear precoding (suboptimal and low complexity) approaches. The system performance is typically characterized by the sum capacity with homogenous users with perfect channel state information at the transmitter. The sum capacity performance analysis requires the exact probability distributions of the user signal-to-noise ratios (SNRs) or signal-to-interference plus noise ratios (SINRs). The standard techniques from order statistics can be sufficient to obtain the probability distributions of SNRs for DP precoding due to the removal of known interference at the transmitter. Derivation of such probability distributions for linear precoding techniques on the other hand is much more challenging. For example, orthogonal beamforming techniques do not completely cancel the interference at the user locations, thereby requiring the analysis with SINRs. In this paper, we derive the joint probability distributions of the user SINRs for two orthogonal beamforming methods combined with user scheduling: adaptive orthogonal beamforming and orthogonal linear beamforming. We obtain compact and unified solutions for the joint probability distributions of the scheduled users' SINRs. Our analytical results can be applied for similar algorithms and are verified by computer simulations.IEEE Transactions on Wireless Communications 07/2013; 12(3). DOI:10.1109/TWC.2012.011713.112304 · 2.76 Impact Factor
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ABSTRACT: This article explores the effects of quantization of feedback information on energy consumption in multiuser wireless communication systems. In order to optimize the energy consumption of the system, the article concentrates on the amount of transmit energy, the additional energy due to quantization and the probability of power outage. Closed form expressions for such parameters are obtained, where the impact of the number of quantization bits is explicitly outlined. An optimization problem is then formulated to find the optimum number of quantization bits able to minimize the consumption in the energy resources. Simulations demonstrate the good results obtainable with the presented optimization strategy, and provide effective validation of the analytic solution presented in the article.EURASIP Journal on Wireless Communications and Networking 01/2013; 2013(1). DOI:10.1186/1687-1499-2013-83 · 0.81 Impact Factor
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ABSTRACT: In a multiuser system, the multiuser diversity gain capitalizes primarily on the dynamic range of channel fluctuations. When the channel varies slowly, opportunistic beamforming using multiple antennas at the transmitter can be used to generate artificial temporal fading resulting in amplified multiuser diversity gain. When there exists a sufficient number of users in the system, opportunistic beamforming has been shown to achieve similar throughput as true beamforming but with much more limited feedback. In particular, it has been shown that the required number of users to achieve near true beamforming throughput on the number of transmit antennas is exponential when each user is equipped with single antenna. In this paper, a framework is presented to analyze the outage probability, diversity order and array gain of opportunistic beamforming over Rayleigh fading channels. First, we obtain an exact closed-form expression for the outage probability. Then, using some approximations, we show that the number of users must be at least the same as the number of transmit antennas in order to achieve full diversity. We quantify the array gain for the full diversity case and establish the dependence of the array gain on the number of users. Finally, we verify our analysis with numerical results.Global Telecommunications Conference, 2009. GLOBECOM 2009. IEEE; 01/2010