Matrix analysis
Convex Optimization
Wireless Communications
Interference alignment via alternating minimization
ICASSP '09 Proceedings of the 2009 IEEE International Conference on Acoustics, Speech and Signal Processing
On the beamforming design for efficient interference alignment
IEEE Communications Letters
Degrees of freedom of the K user M × N MIMO interference channel
IEEE Transactions on Information Theory
The impact of frequency-flat fading on the spectral efficiency of CDMA
IEEE Transactions on Information Theory
Diversity and multiplexing: a fundamental tradeoff in multiple-antenna channels
IEEE Transactions on Information Theory
High-SNR power offset in multiantenna communication
IEEE Transactions on Information Theory
Interference Alignment and Degrees of Freedom of the -User Interference Channel
IEEE Transactions on Information Theory
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The K user interference alignment scheme proposed by Cadambe and Jafar (CJ) [1] achieves K/2 degrees of freedom for networks with frequency selective channels. In this paper, we provide two new algorithms that optimize the precoding subspaces which maximize the data rate performance of the CJ scheme while maintaining the achievable degrees of freedom. One design is obtained as a global solution of a constrained convex (concave) optimization problem that maximizes the sum rate. The other design provides a low complexity closed-form solution to a constrained maximization problem with a suboptimal sum rate objective function. We also show that both designs can be combined with Shen, Host-Madsen and Vidal [2] orthonormalization that achieves further gains in sum rate by optimizing the precoding vectors generated by the proposed algorithms.