2017
DOI: 10.1109/tsp.2016.2637310
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Homotopy Continuation for Spatial Interference Alignment in Arbitrary MIMO X Networks

Abstract: In this paper we propose an algorithm to design interference alignment (IA) precoding and decoding matrices for arbitrary MIMO X networks. The proposed algorithm is rooted in the homotopy continuation techniques commonly used to solve systems of nonlinear equations. Homotopy methods find the solution of a target system by smoothly deforming the solution of a start system which can be trivially solved. Unlike previously proposed IA algorithms, the homotopy continuation technique allows us to solve the IA proble… Show more

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Cited by 7 publications
(5 citation statements)
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“…Homotopy continuation is an iterative algorithm to solve systems of polynomial equations [20] and it has several success stories in e.g. computer vision [21], [24], signal processing [25], [26], and process design [27], [28] Let…”
Section: Background: Homotopy Continuationmentioning
confidence: 99%
“…Homotopy continuation is an iterative algorithm to solve systems of polynomial equations [20] and it has several success stories in e.g. computer vision [21], [24], signal processing [25], [26], and process design [27], [28] Let…”
Section: Background: Homotopy Continuationmentioning
confidence: 99%
“…Several IA algorithms are available in the existing literature for more general interference channels [21][22][23], as well as for more sophisticated topologies [24]. Nevertheless, for the (2 × 2, 1) 3 interference channel under evaluation, an analytical procedure to calculate the beamformers and filters satisfying (4) was proposed in [20]:…”
Section: Spatial Interference Alignmentmentioning
confidence: 99%
“…Several studies on the benefits of flexible duplexing have been recently carried out, relying on different figures of merit. Most of the existing works assume that a fixed UL/DL combination is given, and present an analysis in terms of multiplexing gain [4][5][6], or in terms of throughput [7][8][9][10][11]. A frame structure for interference mitigation can be found in [12], and flexible duplexing is further proposed as a candidate for evaluation in real deployments in [13].…”
Section: Introductionmentioning
confidence: 99%