2015
DOI: 10.1109/tit.2014.2372773
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Degrees of Freedom of Rank-Deficient MIMO Interference Channels

Abstract: We characterize the degrees of freedom (DoF) of multiple-input and multiple-output (MIMO) interference channels with rank-deficient channel matrices. For the two-user rank-deficient MIMO interference channel, we provide a tight outer bound to show that the previously known achievable DoF in the symmetric case is optimal and generalize the result to fully asymmetric settings. For the K-user rank-deficient interference channel, we improve the previously known achievable DoF and provide a tight outer bound to est… Show more

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Cited by 23 publications
(40 citation statements)
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“…We introduce a modified version of the [CJ08] scheme to deal with these dependencies, and then derive the sufficient conditions under which there will be no overlap between the desired and interfering signal spaces. This scheme is also used in [14] to show achievability results for individual channel rank deficiency of MIMO interference channels.…”
Section: Overview Of Resultsmentioning
confidence: 99%
“…We introduce a modified version of the [CJ08] scheme to deal with these dependencies, and then derive the sufficient conditions under which there will be no overlap between the desired and interfering signal spaces. This scheme is also used in [14] to show achievability results for individual channel rank deficiency of MIMO interference channels.…”
Section: Overview Of Resultsmentioning
confidence: 99%
“…Cross-channel rankdeficiencies have the potential to be helpful as the scope of zero forcing schemes is enhanced (although the scope of interference alignment schemes is limited by rank-deficiencies), opening the possibility that more than half-the-cake may be achievable. Exploring this possibility in [2], Krishnamurthy and Jafar establish that for the K-user M × M MIMO interference channel where all the cross channels are rankdeficient with the same rank D ≤ M and direct channels are full rank, KM/2 DoF (half-the-cake) are optimal if the sum of all interference ranks at each user, is greater than or equal to the number of antennas at the user, (K − 1)D ≥ M . In other words, every signal dimension is accessible by at least one interfering user.…”
Section: Introductionmentioning
confidence: 99%
“…The motivation for this work, summarized in Fig. 1, is to pursue such a generalization of the results from [1], [2], [3]. Specifically, in this work our goal is to consolidate the key insights regarding the optimality of half-the-cake (the "cake" refers to each user's interferencefree DoF, cf.…”
Section: Introductionmentioning
confidence: 99%
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