Title
Large System Analysis of Interference Alignment Achievable Rates for the MIMO Interference Channel
Abstract
In this paper, analytical rate expressions of interference alignment (IA) algorithms applied to the multiple-input multiple-output interference channel are derived in the large system limit. A large system analysis is performed by fixing the number of users and letting the number of transmit and receive antennas go to infinity at a finite fixed ratio. The asymptotic eigenvalue distribution of the direct channel gains resulting from IA algorithms is first obtained. Based on that, large system rate expressions under both water-filling power allocation and equal power allocation are derived in closed form. The obtained expressions are functions of the transmit power and noise power at the receivers and are independent of any other system parameters. Simulation results show that the achievable rates of different IA algorithms converge to the large system rates as the number of transmit and receive antennas increases, thereby showing that the large system expressions are valid for different IA variants. Simulation results also show that large system expressions provide accurate estimates of the average achievable rates for small and finite system parameters.
Year
DOI
Venue
2015
10.1109/TSP.2015.2398842
Signal Processing, IEEE Transactions  
Keywords
Field
DocType
mimo communication,eigenvalues and eigenfunctions,radiofrequency interference,receiving antennas,transmitting antennas,ia algorithms,mimo interference channel,asymptotic eigenvalue distribution,closed form,direct channel gains,finite fixed ratio,interference alignment achievable rates,large system rate expressions,multiple-input multiple-output interference channel,noise power,receive antennas,transmit antennas,transmit power,water-filling power allocation,interference alignment,interference channels,large system analysis,random matrix theory,transmitters,integrated circuits,interference,mimo
Noise power,Transmitter power output,Expression (mathematics),Control theory,MIMO,Co-channel interference,Communication channel,Interference (wave propagation),Integrated circuit,Mathematics
Journal
Volume
Issue
ISSN
63
6
1053-587X
Citations 
PageRank 
References 
1
0.34
23
Authors
3
Name
Order
Citations
PageRank
Samer Bazzi1526.83
Guido Dietl212715.21
Wolfgang Utschick31755176.66