The degrees of freedom for MIMO interference broadcast channels with
no CSIT
Haiying Ren*, Yuanan Liu, Fang Liu, Jinchun Gao, Kaiming Liu, Gang Xie
School of Electronic Engineering, Beijing University of Posts and Telecommunications,
Beijing 100876, People’s Republic of China
rhyrhy111@sina.com, {yuliu, lf, gjc, kmliu, xiegang}@butp.edu.cn
Keywords: blind interference alignment (IA), degrees of freedom (DoF), interference broadcast
channels (IBC), multiple-input multiple-output (MIMO).
Abstract. Multiple-input multiple-output (MIMO) interference broadcast channel (IBC) plays an
important role in the modern wireless communications. The upper bound of degree of freedom (DoF)
and corresponding achievable schemes have been investigated. However, all the achievable schemes
require perfect channel state information at transmitters (CSIT). In the absence of CSIT, the DoF
value is still unknown. This paper mainly focuses on the G-cell K-user MIMO IBC, where there are M
antennas at each transmitter and N antennas at each receiver. The transmitters only know channel
coherent time internals rather than the values of channel coefficients. The users in the same cell are
assumed to be able to share the channel information. Based on a heterogeneous block fading model, a
blind interference alignment (IA) scheme is proposed for this scenario. We show that when
R
≥
and
( )
min ,
max ,
R
=
, then a total of
+
degrees of freedom (DoF) can be achieved. The inner
bound is same with the decomposition DoF upper bound.
1, Introduction
The broadcast channel (BC) and interference channel (IC) are two fundamental building blocks of
wireless networks. Plenty of research has been devoted to the two networks in the past few decades.
However, heterogeneous cellular networks become prevalent in recent years, especially when
multiple-input multiple-output (MIMO) techniques are used [1]. In this paper, we mainly consider
MIMO interference broadcast channel (IBC), which inherits features from both BC and IC.
Inter-cell interference (ICI) is a bottleneck for MIMO IBC to achieve high spectral efficiency.
There are many works on interference mitigation techniques. Conventional approaches either treat
interference as noise or rely on interference avoidance
by means of channel orthogonalization [2].
However, these schemes are far from optimal [3]. Recently, interference alignment (IA) has been
proposed as an effective means to mitigate interference for MIMO IBC [4,5,6,7,8].
One important measurement for the potential of IA is the degrees of freedom (DoF), which is the
first-order approximation of sum capacity at high signal-to-noise ratio (SNR) regime. Significant
research efforts have been devoted to find the DoF for MIMO IBC. The information theoretic DoF has
been found for the two-cell case with two users [4] or with
K
users each with one antenna [5],
G
-cell
case under special antennas [6], constant channel coefficients case [7], and most recently the general
G
-cell
K
-user MIMO IBC case [8]. While IA can obtain a dramatic sum capacity, it must be noted that
accurate global channel state information at transmitters (CSIT) is needed. However, when there is no
CSIT, to the best of our knowledge, the DoF of MIMO IBC is still unknown.
Recently, a breakthrough appeared in [9] indicates that even without CSIT, the DoF upper bound
can be achieved in some special cases. The key technique is
blind
IA. Subsequently, blind IA is used
in many other scenarios [10,11,12]. Inspired by the previous works, under a heterogeneous block
fading model, we propose a blind IA scheme for
G
-cell
K
-user MIMO IBC with
M
transmitting
Advanced Materials Research Vols. 1049-1050 (2014) pp 1776-1780 Submitted: 29.08.2014
Online available since 2014/Oct/10 at www.scientific.net Accepted: 01.09.2014
© (2014) Trans Tech Publications, Switzerland
doi:10.4028/www.scientific.net/AMR.1049-1050.1776
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