The Feasibility Conditions for Interference Alignment in MIMO Networks
arXiv:1211.3484 · doi:10.1109/TSP.2013.2241056
Abstract
Interference alignment (IA) has attracted great attention in the last few years for its breakthrough performance in interference networks. However, despite the numerous works dedicated to IA, the feasibility conditions of IA remains unclear for most network topologies. The IA feasibility analysis is challenging as the IA constraints are sets of high-degree polynomials, for which no systematic tool to analyze the solvability conditions exists. In this work, by developing a new mathematical framework that maps the solvability of sets of polynomial equations to the linear independence of their first-order terms, we propose a sufficient condition that applies to MIMO interference networks with general configurations. We have further proved that this sufficient condition matches with the necessary conditions under a wide range of configurations. These results further consolidate the theoretical basis of IA.
accepted by IEEE Trans. Signal Process
References in corpus (2)
Cited by in corpus (13)
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- On Interference Alignment with Imperfect CSI: Characterizations of Outage Probability, Ergodic Rate and SER
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- The Feasibility of Interference Alignment for Reverse TDD Systems in MIMO Cellular Networks
- On the Capacity of the Finite Field Counterparts of Wireless Interference Networks
- Topological Interference Management with User Admission Control via Riemannian Optimization
- Replication-based Outer bounds and the Optimality of "Half the Cake" for Rank-Deficient MIMO Interference Networks
- On feasibility of perfect interference alignment in interference networks
- Achievable Degrees of Freedom for Closed-form Solution to Interference Alignment and Cancellation in Gaussian Interference Multiple Access Channel