Asymptotic Analysis of Double-Scattering Channels

Jakob Hoydis (1) , Romain Couillet (2) , Merouane Debbah (3)

1 E3S - Supélec Sciences des Systèmes
2 SSEC - Chaire Sciences des Systèmes et Défis Energétiques EDF/ECP/Supélec
3 Chaire Radio Flexible - Chaire Radio Flexible Alcatel-Lucent/Supélec

We consider a multiple-input multiple-output (MIMO) multiple access channel (MAC), where the channel between each transmitter and the receiver is modeled by the double-scattering channel model. Based on novel techniques from random matrix theory, we derive deterministic approximations of the mutual information, the signal-to-noise-plus-interference-ratio (SINR) at the output of the minimum-mean-square-error (MMSE) detector and the sum-rate with MMSE detection, which are almost surely tight in the large system limit. Moreover, we derive the asymptotically optimal transmit covariance matrices. Our simulation results show that the asymptotic analysis provides very close approximations for realistic system dimensions.

Keywords: double-scattering channel; random matrix theory; iterative deterministic equivalents; mutual information; optimal precoding; MMSE; SINR; muliple access channel

Domains: Computer Science [cs]; Networking and Internet Architecture [cs.NI]; Computer Science [cs]; Information Theory [cs.IT]; Mathematics [math]; Information Theory [math.IT]

Jakob Hoydis, Romain Couillet, Merouane Debbah. Asymptotic Analysis of Double-Scattering Channels. Asilomar Conference on Signals, Systems, and Computers, Nov 2011, Pacific Grove, CA, United States. 5 p. ⟨hal-00648033⟩