Spatial Degrees of Freedom of the Multicell MIMO Multiple Access Channel

Kim, Taejoon; Love, David J.; Clerckx, Bruno; Hwang, Duckdong

doi:10.1109/glocom.2011.6134148

Cited by 26 publications

(32 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In other words, all the transmit vectors at one BS must avoid generating ICIs to the same user in other cell. 9 This leads to the difficulty to construct an invertible Jacobian matrix for the MIMO-IBC considered in Lemma 3, where the BS can only avoid partial ICIs it generated but it does not know which ICIs it should avoid. By contrast, the receive variable assignment in a MIMO-IBC with d = 1 is flexible, because J J J U ( H H H 0 ) does not have the repeated structure.…”

Section: = [( H H Hmentioning

confidence: 99%

“…In literature, the sufficiency has been proved only for three specific MIMO-IBC systems [4], [9], [19] and for two special classes of MIMO-IC [12], [13].…”

Section: A "Proper"="feasible"mentioning

confidence: 99%

“…For the three MIMO-IBC systems with [19] and with G = 2, M = Kd, N = (K +1)d in [9], the sufficiency was proved implicitly by proposing closedform linear IA algorithms. We can see that these configurations satisfy (32) and (33), i.e., the three systems are proper and feasible, which are special cases of our results in Corollary 2.…”

Section: A "Proper"="feasible"mentioning

confidence: 99%

“…where p and q were defined after (9). In a symmetric MIMO-IBC where M ≥ Kd and N ≥ d, when M and N satisfy (32) but do not satisfy (34), the MIMO-IBC is proper but infeasible.…”

Section: B "Proper" ="Feasible"mentioning

confidence: 99%

“…This result is surprising, because the DoF is the same as the maximal DoF achievable by network MIMO but without data sharing among the BSs. Encouraged by such a promising performance of linear IA, many recent works strived to analyze the DoF for MIMO-IC [5], [6] and MIMO-IBC [7], [8], [9] with various settings.…”

mentioning

confidence: 99%

See 4 more Smart Citations

On the Feasibility of Linear Interference Alignment for MIMO Interference Broadcast Channels With Constant Coefficients

Liu

Yang

2013

IEEE Trans. Signal Process.

View full text Add to dashboard Cite

In this paper, we analyze the feasibility of linear interference alignment (IA) for multi-input-multi-output (MIMO) interference broadcast channel (MIMO-IBC) with constant coefficients. We pose and prove the necessary conditions of linear IA feasibility for general MIMO-IBC. Except for the proper condition, we find another necessary condition to ensure a kind of irreducible interference to be eliminated. We then prove the necessary and sufficient conditions for a special class of MIMO-IBC, where the numbers of antennas are divisible by the number of data streams per user. Since finding an invertible Jacobian matrix is crucial for the sufficiency proof, we first analyze the impact of sparse structure and repeated structure of the Jacobian matrix. Considering that for the MIMO-IBC the sub-matrices of the Jacobian matrix corresponding to the transmit and receive matrices have different repeated structure, we find an invertible Jacobian matrix by constructing the two sub-matrices separately. We show that for the MIMO-IBC where each user has one desired data stream, a proper system is feasible. For symmetric MIMO-IBC, we provide proper but infeasible region of antenna configurations by analyzing the difference between the necessary conditions and the sufficient conditions of linear IA feasibility.Index Terms-Interference alignment feasibility, interference broadcast channel, MIMO, Degrees of freedom (DoF).1 In general MIMO-IBC, each BS has M i antennas to support K i users and each user has N i k antennas to receive d i k data streams. In symmetric cases, M i = M , K i = K, N i k = N and d i k = d.

show abstract

Section: = [( H H Hmentioning

confidence: 99%

“…In literature, the sufficiency has been proved only for three specific MIMO-IBC systems [4], [9], [19] and for two special classes of MIMO-IC [12], [13].…”

Section: A "Proper"="feasible"mentioning

confidence: 99%

Section: A "Proper"="feasible"mentioning

confidence: 99%

“…where p and q were defined after (9). In a symmetric MIMO-IBC where M ≥ Kd and N ≥ d, when M and N satisfy (32) but do not satisfy (34), the MIMO-IBC is proper but infeasible.…”

Section: B "Proper" ="Feasible"mentioning

confidence: 99%

mentioning

confidence: 99%

See 3 more Smart Citations