TY - GEN
T1 - On the complexity of leakage interference minimization for interference alignment
AU - Liu, Ya Feng
AU - Dai, Yu Hong
AU - Luo, Zhi-Quan
PY - 2011/9/16
Y1 - 2011/9/16
N2 - For a general MIMO interference channel, we can determine the feasibility of linear interference alignment via minimizing the leakage interference. This paper gives a complete complexity characterization of the leakage interference minimization problem. It is shown that, when each transmitter (receiver) is equipped with at least three antennas and each receiver (transmitter) is equipped with at least two antennas, the problem of checking whether the interference in the network can be perfectly aligned is strongly NP-hard. Moreover, when each transmit/receive node is equipped with two or more antennas, leakage interference minimization can not be solved (even approximately) in polynomial time, unless P = NP.
AB - For a general MIMO interference channel, we can determine the feasibility of linear interference alignment via minimizing the leakage interference. This paper gives a complete complexity characterization of the leakage interference minimization problem. It is shown that, when each transmitter (receiver) is equipped with at least three antennas and each receiver (transmitter) is equipped with at least two antennas, the problem of checking whether the interference in the network can be perfectly aligned is strongly NP-hard. Moreover, when each transmit/receive node is equipped with two or more antennas, leakage interference minimization can not be solved (even approximately) in polynomial time, unless P = NP.
KW - Complexity analysis
KW - interference alignment
KW - leakage interference minimization
UR - http://www.scopus.com/inward/record.url?scp=80052655079&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=80052655079&partnerID=8YFLogxK
U2 - 10.1109/SPAWC.2011.5990455
DO - 10.1109/SPAWC.2011.5990455
M3 - Conference contribution
AN - SCOPUS:80052655079
SN - 9781424493326
T3 - IEEE Workshop on Signal Processing Advances in Wireless Communications, SPAWC
SP - 471
EP - 475
BT - 2011 IEEE 12th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2011
T2 - 2011 IEEE 12th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2011
Y2 - 26 June 2011 through 29 June 2011
ER -