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arxiv: 1410.5004 · v2 · pith:PVXPAHVVnew · submitted 2014-10-18 · 🧮 math.OC · cs.NA· math.NA

Very Low-Complexity Algorithms for Beamforming in Two-Way Relay Systems

classification 🧮 math.OC cs.NAmath.NA
keywords beamformingsolutionoptimalrelaysystemstwo-wayalgorithmschannel
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In this paper, we present a novel solution for optimal beamforming in a two-way relay (TWR) systems with perfect channel state information. The solution makes use of properties of quadratic surfaces to simplify the solution space of the problem to $\mathbb{R}^4$, and enables the formulation of a differential equation that can be solved numerically to obtain the optimal beamforming matrix.

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