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Interference alignment via alternating minimization
Peters, S.W. Heath, R.W.
Dept. of Electr.&Comput. Eng., Univ. of Texas at Austin, Austin, TX;

This paper appears in: Acoustics, Speech and Signal Processing, 2009. ICASSP 2009. IEEE International Conference on
Publication Date: 19-24 April 2009
On page(s): 2445-2448
Location: Taipei,
ISSN: 1520-6149
ISBN: 978-1-4244-2353-8
INSPEC Accession Number: 10701447
Digital Object Identifier: 10.1109/ICASSP.2009.4960116
Current Version Published: 2009-05-26

Abstract
Using interference alignment, it has been shown that the number of degrees of freedom in the interference channel scales linearly with the number of users. Unfortunately, closed-form solutions for interference alignment over constant-coefficient channels with more than 3 users are difficult to derive. This paper proposes an algorithm for interference alignment in the MIMO interference channel with an arbitrary number of users, antennas, or spatial streams. The algorithm is an alternating minimization over the precoding matrices at the transmitters and the interference subspaces at the receivers, and is proven to converge. Numerical results show how the algorithm is useful for simulation and can give insight into the limitations of interference alignment.

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