Distributed beamforming in wireless relay networks with quantized feedback

Koyuncu, Erdem; Jing, Yindi; Jafarkhani, Hamid

doi:10.1109/jsac.2008.081009

Cited by 123 publications

(82 citation statements)

References 32 publications

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“…For collaborative relaying technique, the network with a single pair of users and multiple relay nodes equipped with single antenna has been widely investigated [1][2][3][4][5][6][7]. Zheng [1] assumed perfect knowledge of channel-state information (CSI) and proposed to optimize the beamforming vector by maximizing the destination signal-to-noise ratio (SNR) subject to total and local relay transmission power constraints.…”

Section: Introductionmentioning

confidence: 99%

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Optimization of a two-way MIMO amplify-and-forward relay network

Zhang

Chen

Pan

et al. 2014

EURASIP J. Adv. Signal Process.

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In this paper, we consider optimization of a two-way multiple-input multiple-output (MIMO) amplify-and-forward relay network which consists of a pair of transceivers and several relay nodes. Multiple antennas are equipped on the transceivers and relays. Multiple access broadcast scheme which finishes communication in two time slots is considered. In the first time slot, signals received by the relays are scaled by several beamforming matrices. In the second time slot, the relays transmit the scaled signals to the two transceivers. Upon receiving these signals, a MIMO equalizer is implemented at each transceiver to recover the desired signal. In this paper, zero forcing equalizers are used. Joint optimization of the beamforming matrices and the equalizers are realized using the following criteria: 1) the total relay transmission power is minimized subject to the minimal output signal-to-noise ratio (SNR) constraint at each transceiver, 2) the minimal output SNR of the two transceivers is maximized subject to total relay transmission power constraint, and 3) the minimal output SNR of the two transceivers is maximized subject to individual relay transmission power constraint. It is shown that the proposed optimization problems can be formulated as the second-order cone programming problems which can be solved efficiently. The validity of the proposed algorithm is verified by computer simulations.

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Section: Introductionmentioning

confidence: 99%

“…In [2], similar optimization criterion was used in the case that only the second-order statistics of CSI are available. In [3,4], quantized CSI was considered. Quantizer at each relay and beamforming vectors at destination were optimized to minimize the uncoded bit error rate.…”

Section: Introductionmentioning

confidence: 99%

Optimization of a two-way MIMO amplify-and-forward relay network

Zhang

Chen

Pan

et al. 2014

EURASIP J. Adv. Signal Process.

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“…However, the optimal beamforming policy requires one or two real numbers to be broadcasted from the receiver to the relays. Using distributed beamforming with quantized instantaneous channel state information (CSI), it is possible to obtain both maximal diversity, as well as high array gain with only a few feedback bits from the receiver [11]- [13]. A special case of quantized feedback for cooperative networks is the relay selection scheme [14]- [16].…”

Section: Introductionmentioning

confidence: 99%

Distributed Beamforming in Wireless Multiuser Relay-Interference Networks With Quantized Feedback

Koyuncu

Jafarkhani

2012

IEEE Trans. Inform. Theory

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We study quantized beamforming in wireless amplify-and-forward relay-interference networks with any number of transmitters, relays, and receivers. We design the quantizer of the channel state information to minimize the probability that at least one receiver incorrectly decodes its desired symbol(s). Correspondingly, we introduce a generalized diversity measure that encapsulates the conventional one as the first-order diversity. Additionally, it incorporates the second-order diversity, which is concerned with the transmitter power dependent logarithmic terms that appear in the error rate expression. First, we show that, regardless of the quantizer and the amount of feedback that is used, the relay-interference network suffers a second-order diversity loss compared to interference-free networks. Then, two different quantization schemes are studied: First, using a global quantizer, we show that a simple relay selection scheme can achieve maximal diversity. Then, using the localization method, we construct both fixedlength and variable-length local (distributed) quantizers (fLQs and vLQs). Our fLQs achieve maximal first-order diversity, whereas our vLQs achieve maximal diversity. Moreover, we show that all the promised diversity and array gains can be obtained with arbitrarily low feedback rates when the transmitter powers are sufficiently large. Finally, we confirm our analytical findings through simulations. Index TermsWireless relay network, beamforming, interference, distributed vector quantization, symbol error probability, diversity gain, array gain.

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“…The optimal transmit weights when only second order statistics of the channel state is available are found in [10]. [11] presents a performance analysis of DTB with quantized feedback.…”

Section: Introductionmentioning

confidence: 99%

Comparative Analysis of Pilot-Assisted Distributed Cophasing Approaches in Wireless Sensor Networks

Chaythanya

Annavajjala

Murthy

2011

IEEE Trans. Signal Process.

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This paper compares and analyzes the performance of distributed cophasing techniques for uplink transmission over wireless sensor networks. We focus on a time-division duplexing approach, and exploit the channel reciprocity to reduce the channel feedback requirement. We consider periodic broadcast of known pilot symbols by the fusion center (FC), and maximum likelihood estimation of the channel by the sensor nodes for the subsequent uplink co-phasing transmission. We assume carrier and phase synchronization across the participating nodes for analytical tractability. We study binary signaling over frequency flat fading channels, and quantify the system performance such as the expected gains in the received signal-to-noise ratio (SNR) and the average probability of error at the FC, as a function of the number of sensor nodes and the pilot overhead. Our results show that a modest amount of accumulated pilot SNR is sufficient to realize a large fraction of the maximum possible beamforming gain. We also investigate the performance gains obtained by censoring transmission at the sensors based on the estimated channel state, and the benefits obtained by using maximum ratio transmission (MRT) and truncated channel inversion (TCI) at the sensors in addition to cophasing transmission. Simulation results corroborate the theoretical expressions and show the relative performance benefits offered by the various schemes. IEEE Transactions on Signal ProcessingThis work may not be copied or reproduced in whole or in part for any commercial purpose. Permission to copy in whole or in part without payment of fee is granted for nonprofit educational and research purposes provided that all such whole or partial copies include the following: a notice that such copying is by permission of Mitsubishi Electric Research Laboratories, Inc.; an acknowledgment of the authors and individual contributions to the work; and all applicable portions of the copyright notice. Copying, reproduction, or republishing for any other purpose shall require a license with payment of fee to Mitsubishi Electric Research Laboratories, Inc. All rights reserved. Abstract-This paper compares and analyzes the performance of distributed cophasing techniques for uplink transmission over wireless sensor networks. We focus on a time-division duplexing approach, and exploit the channel reciprocity to reduce the channel feedback requirement. We consider periodic broadcast of known pilot symbols by the fusion center (FC), and maximum likelihood estimation of the channel by the sensor nodes for the subsequent uplink co-phasing transmission. We assume carrier and phase synchronization across the participating nodes for analytical tractability. We study binary signaling over frequencyflat fading channels, and quantify the system performance such as the expected gains in the received signal-to-noise ratio (SNR) and the average probability of error at the FC, as a function of the number of sensor nodes and the pilot overhead. Our results show that a modest amount of a...

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Distributed beamforming in wireless relay networks with quantized feedback

Cited by 123 publications

References 32 publications

Optimization of a two-way MIMO amplify-and-forward relay network

Optimization of a two-way MIMO amplify-and-forward relay network

Distributed Beamforming in Wireless Multiuser Relay-Interference Networks With Quantized Feedback

Comparative Analysis of Pilot-Assisted Distributed Cophasing Approaches in Wireless Sensor Networks

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