DocumentCode :
1754756
Title :
A Quadratically Convergent Method for Interference Alignment in MIMO Interference Channels
Author :
Gonzalez, O. ; Lameiro, C. ; Santamaria, Ignacio
Author_Institution :
Dept. of Commun. Eng., Univ. of Cantabria, Santander, Spain
Volume :
21
Issue :
11
fYear :
2014
fDate :
Nov. 2014
Firstpage :
1423
Lastpage :
1427
Abstract :
Alternating minimization and steepest descent are commonly used strategies to obtain interference alignment (IA) solutions in the K-user multiple-input multiple-output (MIMO) interference channel (IC). Although these algorithms are shown to converge monotonically, they experience a poor convergence rate, requiring an enormous amount of iterations which substantially increases with the size of the scenario. To alleviate this drawback, in this letter we resort to the Gauss-Newton (GN) method, which is well-known to experience quadratic convergence when the iterates are sufficiently close to the optimum. We discuss the convergence properties of the proposed GN algorithm and provide several numerical examples showing that it always converges to the optimum with quadratic rate, reducing dramatically the required computation time in comparison to other algorithms, hence paving a new way for the design of IA algorithms.
Keywords :
MIMO communication; Newton method; gradient methods; minimisation; radiofrequency interference; wireless channels; GN method; Gauss-Newton method; IA; IC; K-user multiple-input multiple-output interference channel; MIMO interference channel; interference alignment; iteration method; minimization; quadratically convergent method; steepest descent; Convergence; Interference channels; MIMO; Minimization; Optimization; Signal processing algorithms; Alternating minimization; Gauss-Newton; interference alignment; interference channel; steepest descent;
fLanguage :
English
Journal_Title :
Signal Processing Letters, IEEE
Publisher :
ieee
ISSN :
1070-9908
Type :
jour
DOI :
10.1109/LSP.2014.2338132
Filename :
6851907
Link To Document :
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