Random Beamforming Over Quasi-Static and Fading Channels: A Deterministic Equivalent Approach

被引:26
作者
Couillet, Romain [1 ]
Hoydis, Jakob [2 ]
Debbah, Merouane [3 ]
机构
[1] Supelec, Dept Telecommun, F-91192 Gif Sur Yvette, France
[2] Bell Labs Alcatel Lucent, D-70435 Stuttgart, Germany
[3] Supelec, Alcatel Lucent Chair Flexible Radio, F-91192 Gif Sur Yvette, France
关键词
Deterministic equivalent; interference channel; isometric precoding; MIMO-MAC; random beamforming; SPECTRAL EFFICIENCY; RANDOM MATRICES; CAPACITY; CDMA; EIGENVALUES; SYSTEMS;
D O I
10.1109/TIT.2012.2201913
中图分类号
TP [自动化技术、计算机技术];
学科分类号
080201 [机械制造及其自动化];
摘要
In this work, we study the performance of random isometric precoders over quasi-static and correlated fading channels. We derive deterministic approximations of the mutual information and the signal-to-interference-plus-noise ratio (SINR) at the output of the minimum-mean-square-error (MMSE) receiver and provide simple provably converging fixed-point algorithms for their computation. Although these approximations are only proven exact in the asymptotic regime with infinitely many antennas at the transmitters and receivers, simulations suggest that they closely match the performance of small-dimensional systems. We exemplarily apply our results to the performance analysis of multi-cellular communication systems, multiple-input multiple-output multiple-access channels (MIMO-MAC), and MIMO interference channels. The mathematical analysis is based on the Stieltjes transform method. This enables the derivation of deterministic equivalents of functionals of large-dimensional random matrices. In contrast to previous works, our analysis does not rely on arguments from free probability theory which enables the consideration of random matrix models for which asymptotic freeness does not hold. Thus, the results of this work are also a novel contribution to the field of random matrix theory and applicable to a wide spectrum of practical systems.
引用
收藏
页码:6392 / 6425
页数:34
相关论文
共 44 条
[1]
[Anonymous], 2006, Elements of Information Theory
[2]
[Anonymous], 1986, REAL COMPLEX ANAL
[3]
[Anonymous], 2006, MATH SURVEYS MONOGRA
[4]
Bai Z., 2009, SPECTRAL ANAL LARGE
[5]
Bai ZD, 1998, ANN PROBAB, V26, P316
[6]
Billingsley Patrick, 1995, Probability and Measure
[7]
[8]
On the capacity of cellular systems with MIMO [J].
Blum, RS ;
Winters, JH ;
Sollenberger, NR .
IEEE COMMUNICATIONS LETTERS, 2002, 6 (06) :242-244
[9]
Effect of antenna separation on the capacity of BLAST in correlated channels [J].
Chizhik, D ;
Rashid-Farrokhi, F ;
Ling, J ;
Lozano, A .
IEEE COMMUNICATIONS LETTERS, 2000, 4 (11) :337-339
[10]
Capacity scaling in MIMO wireless systems under correlated fading [J].
Chuah, CN ;
Tse, DNC ;
Kahn, JM ;
Valenzuela, RA .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2002, 48 (03) :637-650