Characterizing the Pareto-Optimal Transmit Strategies Sample Clauses

Characterizing the Pareto-Optimal Transmit Strategies. In a multiuser setting, efficient operation of the systems requires the transmitters to maximize the power gain at intended receivers and also minimize the power gain at unintended receivers. In this section, we characterize the transmission strategies of each transmitter that are relevant to achieve Pareto-optimal operating points. Moreover, we parameterize these by real values between zero and one. In this way, the set of efficient transmission strategies is confined and represented by low dimensional real parameters. This result tremendously reduces the complexity of designing efficient resource allocation schemes, and the parametrization can be uti- lized for low complexity coordination between transmitters. ≥ While previously available results are provided for the MISO IC, the parametriza- tion of efficient transmission strategies in a general multiuser setting is not straight- forward. Moreover, neither the ITC-based [13] nor the Lagrangian-based [18, 16] characterizations can be generalized to our framework. A further example of a MISO multiuser setting which can be applied to our framework is when a single transmitter sends common information to K single-antenna receivers. This set- ting corresponds to multicast transmission. Since the transmission rate depends on the weakest link in the system, the transmitter optimizes its transmission to achieve max-min-fairness at the receivers [19]. The multicast beamforming problem to achieve max-min-fairness is proven to be NP-hard for K N [20], where N is the number of transmit antennas. In [21], the two-user multicast max-min-fair problem is studied, and the set of beamforming vectors which includes the solution of the max-min-fair problem is characterized.
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