2003
DOI: 10.1109/tit.2003.817433
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On beamforming with finite rate feedback in multiple-antenna systems

Abstract: In this paper, we study a multiple antenna system where the transmitter is equipped with quantized information about instantaneous channel realizations. Assuming that the transmitter uses the quantized information for beamforming, we derive a universal lower bound on the outage probability for any finite set of beamformers. The universal lower bound provides a concise characterization of the gain with each additional bit of feedback information regarding the channel. Using the bound, it is shown that finite in… Show more

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Cited by 799 publications
(515 citation statements)
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References 17 publications
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“…Although in the single cluster network we are only quantizing a scalar channel space, its performance studies allow us to obtain some fundamental but important insights into the results for quantizing the multidimensional vector channel space. The outage performance using equal power allocation (EPA), allocating all CHs with the same powers, and optimal power allocation scheme for full CSI using (6) are also shown in the figure to provide performance benchmarks. Figure 8 shows a progression of performance improvement from EPA which has no knowledge of CSIT, to partial CSIT with increase in feedback resolution from 1 bit to 6 bits, to full CSI (complete knowledge of CSIT).…”
Section: Simulation Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…Although in the single cluster network we are only quantizing a scalar channel space, its performance studies allow us to obtain some fundamental but important insights into the results for quantizing the multidimensional vector channel space. The outage performance using equal power allocation (EPA), allocating all CHs with the same powers, and optimal power allocation scheme for full CSI using (6) are also shown in the figure to provide performance benchmarks. Figure 8 shows a progression of performance improvement from EPA which has no knowledge of CSIT, to partial CSIT with increase in feedback resolution from 1 bit to 6 bits, to full CSI (complete knowledge of CSIT).…”
Section: Simulation Resultsmentioning
confidence: 99%
“…Channel state information at transmitter (CSIT) relies on perfect channel state feedback from FC to the transmitters, which can be expensive or infeasible to implement in practice. Many works in the literature have looked at power control in the field of multiple input multiple output (MIMO) beamforming systems with partial CSIT using limited feedback [5,6]. The optimal power allocation scheme for systems employing limited feedback is in general complex and hence difficult to obtain.…”
Section: Introductionmentioning
confidence: 99%
“…Note that with these deliberately separate notations of F k and W i , we intend to point out that the precoder selection done by the UE is only a recommendation towards eNB. For single stream single-user transmission, the optimal choice for a precoding vector f k for user k is known to be [19,20] …”
Section: Single-cell Operation In Lte/lte-advanced Systemmentioning
confidence: 99%
“…According to Mukkavilli et al [24], the number of clusters which satisfy criterion for each user is calculated approximately as N t N t −1 th . Therefore, the choice of is critical since it is directly relative to the total number of clusters per user.…”
Section: P2: the Combined Criterionmentioning
confidence: 99%