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• W1977256965 abstract "Using beamforming antennas to improve wireless multicast transmissions has received considerable attention recently. A recent work proposes to partition all single-lobe beams into groups and to form composite multilobe beam patterns to transmit multicast traffic. Depending on how the power is split among the individual beams constituting a composite beam pattern, two power models are considered: 1) equal power split (EQP), and 2) asymmetric power split (ASP). This paper revisits the key challenge-beam partitioning in the beamforming-multicast problem-and makes significant progress in both algorithmic and analytic aspects of the problem. Under EQP, we propose a low-complexity optimal algorithm based on dynamic programming. Under ASP, we prove that it is NP-hard to have ( <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>3</sup> / <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</sub> -ϵ)-approximation algorithm for any ϵ >; 0. For discrete rate functions under ASP, we develop an Asymptotic Polynomial-Time Approximation Scheme (APTAS), an asymptotic ( <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>3</sup> / <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</sub> + β)-approximation solution (where β ≥ 0 depends on the wireless technology), and an asymptotic 2-approximation solution to the problem by relating the problem to a generalized version of the bin-packing problem. In retrospect, we also obtain an asymptotic 2-approximation solution for the generalized bin-packing problem, which is of independent interest. For continuous rate functions under ASP, we develop sufficient conditions under which the optimal number of composite beams is 1, <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>K</i> , and arbitrary, respectively, where <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>K</i> is the total number of single-lobe beams. Both experimental results and simulations based on real-world channel measurements corroborate our analytical results by showing significant improvement compared to state-of-the-art algorithms." @default.
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• W1977256965 date "2012-10-01" @default.
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• W1977256965 title "Wireless Multicast Scheduling With Switched Beamforming Antennas" @default.
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• W1977256965 doi "https://doi.org/10.1109/tnet.2012.2191977" @default.
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