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Design of Low-Overhead Cooperative Beamforming for Information Relaying in Wireless Sensor Networks Under Imperfect Quantized SNR of Source-to-Relay Links

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4 Author(s)
Jwo-Yuh Wu ; Dept. of Electr. & Comput. Eng., Nat. Chiao Tung Univ., Hsinchu, Taiwan ; Chung-Hsuan Hu ; Tsang-Yi Wang ; Shang-Ho Tsai

We consider a wireless sensor network employing cooperative beamforming for information relaying. To reduce the signaling overhead, each relay node quantizes the SNR of the source-to-relay (S-R) link into one bit, which is then transmitted through a binary symmetric channel (BSC) with a known crossover probability to the destination. Given the set of the error-corrupted one-bit messages received at the destination, the beamforming design criterion is the maximization of the expected receive SNR, averaged over the conditional bit-flipping distributions of BSCs. We derive an analytic expression for the considered SNR metric, which is a complicated function of the beamforming weights. To facilitate analysis, we further derive a tractable lower bound for the conditional average SNR. By conducting maximization with respect to this lower bound, a closed-form sub-optimal beamformer can be obtained as a solution to a generalized eigenvalue problem. Computer simulations are used to illustrate the performance of the proposed scheme.

Published in:

Signal Processing, IEEE Transactions on  (Volume:61 ,  Issue: 6 )

Date of Publication:

March15, 2013

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