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Published July 1, 2007 | public
Journal Article Open

Degrees of Freedom for the MIMO Interference Channel

Abstract

In this correspondence, we show that the exact number of spatial degrees of freedom (DOF) for a two user nondegenerate (full rank channel matrices) multiple-input–multiple-output (MIMO) Gaussian interference channel with $M_{1}, M_{2}$ antennas at transmitters 1, 2 and $N_{1}, N_{2}$ antennas at the corresponding receivers, and perfect channel knowledge at all transmitters and receivers, is $min {M_{1}+M_{2},N_{1}+N_{2},max (M_{1},N_{2}),max (M_{2},N_{1})}$. A constructive achievability proof shows that zero forcing is sufficient to achieve all the available DOF on the two user MIMO interference channel. We also show through an example of a share-and-transmit scheme how the gains of transmitter cooperation may be entirely offset by the cost of enabling that cooperation so that the available DOF are not increased.

Additional Information

© Copyright 2007 IEEE. Reprinted with permission. Manuscript received May 22, 2006; revised December 12, 2006. [Posted online: 2007-06-25] This work was supported in part by the National Science Foundation by CAREER Grant 0546860. The material in this correspondence was presented in part at the IEEE International Symposium on Information Theory, Seattle, WA, July 2006.

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August 22, 2023
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