Selfishness and altruism on the MISO interference channel: the case of partial transmitter CSI

Abstract

Abstract-We study the achievable ergodic rate region of the two-user multiple-input single-output interference channel, under the assumptions that the receivers treat interference as additive Gaussian noise and the transmitters only have statistical channel knowledge. Initially, we provide a closed-form expression for the ergodic rates and derive the Nash-equilibrium and zero-forcing transmit beamforming strategies. Then, we show that combinations of the aforementioned selfish and altruistic, respectively, strategies achieve Pareto-optimal rate pairs.

Optimal Resource Allocation in Coordinated Multi-Cell Systems

“…This choice of basis vectors emphasizes that beamforming is a balance between selfishness (maximizing signal power) and altruism (minimizing the interference generated at co-users), which has important implications when a game theory perspective is applied to multi-cell systems [117,140,148]. This structure is particularly strong and intuitive in the two-user case, as shown by the following example.…”

Pareto-optimal beamforming for the MISO interference channel with partial CSI

“…This is possible only when the channel covariance matrices are rank deficient and the direct channel has a component that is orthogonal to the coupling channel, i.e., when { } ⊈ { } . The socalled zero-forcing (ZF) strategy is determined in [5] to be…”

“…We are especially interested in the case when the transmitters have only partial (statistical) channel state information (CSI), channel covariance knowledge, more precisely. This paper builds on our previous work [3]- [5], where we provided a set of necessary conditions for beamforming vectors to be Pareto optimal (we treated perfect CSI in [3] and partial CSI in [4], [5]). In the current work, we focus on the computation of the Pareto-optimal (PO) rates and the enabling beamforming vectors for the partial-CSI case.…”

Diversity-Multiplexing-Nulling Trade-Off Analysis of Multiuser MIMO System for Intercell Interference Coordination

“…To suppress the intercell interference, the authors in [2][3][4][5] investigated a coordinated beamforming scheme using multiple antennas at the BS. The achievable rate region of the MISO interference channel, in the case where the full channel information is shared among BSs, was derived in [2,3], with instantaneous and statistical CSI, respectively. Distributed beamforming with a virtual SINR framework was proposed in [4].…”

“…Distributed beamforming with a virtual SINR framework was proposed in [4]. The theoretical results in [2][3][4], however, are limited to only one user in the victim cell. The authors in [5] assumed that the interference experienced by multiple users in the victim cells is suppressed.…”