Abstract

Collaborative beamforming (CBF) with a finite number of collaborating nodes (CNs) produces sidelobes that are highly dependent on the collaborating nodes’ locations. The sidelobes cause interference and affect the communication rate of unintended receivers located within the transmission range. Nulling is not possible in an open-loop CBF since the collaborating nodes are unable to receive feedback from the receivers. Hence, the overall sidelobe reduction is required to avoid interference in the directions of the unintended receivers. However, the impact of sidelobe reduction on the capacity improvement at the unintended receiver has never been reported in previous works. In this paper, the effect of peak sidelobe (PSL) reduction in CBF on the capacity of an unintended receiver is analyzed. Three meta-heuristic optimization methods are applied to perform PSL minimization, namely genetic algorithm (GA), particle swarm algorithm (PSO) and a simplified version of the PSO called the weightless swarm algorithm (WSA). An average reduction of 20 dB in PSL alongside 162% capacity improvement is achieved in the worst case scenario with the WSA optimization. It is discovered that the PSL minimization in the CBF provides capacity improvement at an unintended receiver only if the CBF cluster is small and dense.

Highlights

  • Collaborative beamforming (CBF) is a promising scheme for the Internet of Things (IoT) and Machine to Machine (M2M) communications in the 5G standard [1]

  • The results provide insights to how sidelobe reduction in the CBF affects the capacity of an unintended receiver for various cluster dimensions and the receive signal-to-noise ratio (SNR)

  • The results provide insights on how sidelobe reduction affects the capacity of an unintended receiver within the transmission range of the CB for various dimensions of clusters and the receiver’s signal-tonoise ratio (SNR)

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Summary

Introduction

Collaborative beamforming (CBF) is a promising scheme for the Internet of Things (IoT) and Machine to Machine (M2M) communications in the 5G standard [1]. It has been noted in [4, 10] that the randomness of the nodes’ locations in the CBF results in high and asymmetrical sidelobes in the sample beampattern, especially when the number of collaborating nodes N is small These sidelobes will interfere with communications of other unintended receivers and reduce the communication capacity of these receivers. The null creation, is only feasible in a closed-loop CBF, i.e., when the unintended receivers can send feedback to the collaborating nodes. In the open-loop CBF scenarios, where the unintended receivers are unable to provide feedback to the collaborating nodes, it is more useful to reduce the overall sidelobes rather than creating nulls at the specific directions of unintended receiver. Notation list defining all the symbols used in this paper is provided at the end of this paper

Assumptions
Array factor
Objective function
SINR and capacity at the unintended receiver
Summary of optimization algorithms
Genetic algorithm
Particle swarm optimization
Weightless swarm algorithm
Simulation results and discussions
Parameter selection in optimization algorithms
Beampattern analysis
Capacity analysis
Conclusion
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