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Optimization of MIMO detectors: Unleashing the multiplexing gain  [PDF]
Nirmalendu Bikas Sinha,S. Chakraborty,P. K. Sutradhar,R. Bera,M. Mitra
Computer Science , 2010,
Abstract: Multiple Input Multiple Output (MIMO) systems have recently emerged as a key technology in wireless communication systems for increasing both data rates and system performance. There are many schemes that can be applied to MIMO systems such as space time block codes, space time trellis codes, and the Vertical Bell Labs Space-Time Architecture (V-BLAST). This paper proposes a novel signal detector scheme called MIMO detectors to enhance the performance in MIMO channels. We study the general MIMO system, the general V-BLAST architecture with Maximum Likelihood (ML), Zero- Forcing (ZF), Minimum Mean- Square Error (MMSE), and Ordered Successive Interference Cancellation (SIC) detectors and simulate this structure in Rayleigh fading channel. Also compares the performances of MIMO system with different modulation techniques in Fading and AWGN channels. Base on frame error rates and bit error rates, we compare the performance and the computational complexity of these schemes with other existence model.Simulations shown that V-BLAST implements a detection technique, i.e. SIC receiver, based on ZF or MMSE combined with symbol cancellation and optimal ordering to improve the performance with lower complexity, although ML receiver appears to have the best SER performance-BLAST achieves symbol error rates close to the ML scheme while retaining the lowcomplexity nature of the V-BLAST.
The MIMO Wireless Switch: Relaying Can Increase the Multiplexing Gain  [PDF]
Hassan Ghozlan,Yahya Mohasseb,Hesham El Gamal,Gerhard Kramer
Mathematics , 2009,
Abstract: This paper considers an interference network composed of K half-duplex single-antenna pairs of users who wish to establish bi-directional communication with the aid of a multi-input-multi-output (MIMO) half-duplex relay node. This channel is referred to as the "MIMO Wireless Switch" since, for the sake of simplicity, our model assumes no direct link between the two end nodes of each pair implying that all communication must go through the relay node (i.e., the MIMO switch). Assuming a delay-limited scenario, the fundamental limits in the high signal-to-noise ratio (SNR) regime is analyzed using the diversity multiplexing tradeoff (DMT) framework. Our results sheds light on the structure of optimal transmission schemes and the gain offered by the relay node in two distinct cases, namely reciprocal and non-reciprocal channels (between the relay and end-users). In particular, the existence of a relay node, equipped with a sufficient number of antennas, is shown to increase the multiplexing gain; as compared with the traditional fully connected K-pair interference channel. To the best of our knowledge, this is the first known example where adding a relay node results in enlarging the pre-log factor of the sum rate. Moreover, for the case of reciprocal channels, it is shown that, when the relay has a number of antennas at least equal to the sum of antennas of all the users, static time allocation of decode and forward (DF) type schemes is optimal. On the other hand, in the non-reciprocal scenario, we establish the optimality of dynamic decode and forward in certain relevant scenarios.
Benefit of Delay on the Diversity-Multiplexing Tradeoffs of MIMO Channels with Partial CSI  [PDF]
Masoud Sharif,Prakash Ishwar
Mathematics , 2007,
Abstract: This paper re-examines the well-known fundamental tradeoffs between rate and reliability for the multi-antenna, block Rayleigh fading channel in the high signal to noise ratio (SNR) regime when (i) the transmitter has access to (noiseless) one bit per coherence-interval of causal channel state information (CSI) and (ii) soft decoding delays together with worst-case delay guarantees are acceptable. A key finding of this work is that substantial improvements in reliability can be realized with a very short expected delay and a slightly longer (but bounded) worst-case decoding delay guarantee in communication systems where the transmitter has access to even one bit per coherence interval of causal CSI. While similar in spirit to the recent work on communication systems based on automatic repeat requests (ARQ) where decoding failure is known at the transmitter and leads to re-transmission, here transmit side-information is purely based on CSI. The findings reported here also lend further support to an emerging understanding that decoding delay (related to throughput) and codeword blocklength (related to coding complexity and delays) are distinctly different design parameters which can be tuned to control reliability.
Diversity-Multiplexing Tradeoff for the Multiple-Antenna Wire-tap Channel  [PDF]
Melda Yuksel,Elza Erkip
Mathematics , 2009,
Abstract: In this paper the fading multiple antenna (MIMO) wire-tap channel is investigated under short term power constraints. The secret diversity gain and the secret multiplexing gain are defined. Using these definitions, the secret diversitymultiplexing tradeoff (DMT) is calculated analytically for no transmitter side channel state information (CSI) and for full CSI. When there is no CSI at the transmitter, under the assumption of Gaussian codebooks, it is shown that the eavesdropper steals both transmitter and receiver antennas, and the secret DMT depends on the remaining degrees of freedom. When CSI is available at the transmitter (CSIT), the eavesdropper steals only transmitter antennas. This dependence on the availability of CSI is unlike the DMT results without secrecy constraints, where the DMT remains the same for no CSI and full CSI at the transmitter under short term power constraints. A zero-forcing type scheme is shown to achieve the secret DMT when CSIT is available.
Tradeoff between Diversity Gain and Multiplexing Gain in MIMO Systems

Huang Qiu-lin,Shi Xiao-wei,

电子与信息学报 , 2007,
Abstract: An optimal tradeoff formula between diversity gain and multiplexing gain was derived. The formula is a step decreasing and right continuous function, and the number of steps is equal to the number of receiving antennas The diversity gain is relative to the block length, and can amount to the full diversity gain only when the block length is no less than the number of transmit antennas. The tradeoff shows that suitable space time codes would provide diversity gain and multiplexing gain simultaneously. However, two gains can not achieve the maximum level at the same time. By the tradeoff formula, the maximum diversity gain under a certain multiplexing gain can be estimated, and vice versa.
Multi-user Precoding and Scheduling Algorithm for Spatial Correlation-Aided Ricean Fading Channel with Partial CSI

Liu Jian-guo,Xu Dao-feng,Lin Min,Yang Lu-xi,

电子与信息学报 , 2009,
Abstract: In order to exploit multi-user diversity gain and spatial multiplexing gain for multi-user MIMO (Multiple-Input Multiple-Output) system with spatial correlation-aided Ricean fading channel, a joint multi-user precoding and scheduling algorithm is proposed based on partial Channel State Information (CSI). Utilizing partial instantaneous CSI and statistical CSI for all users, the Base Station (BS) estimates the channel for each user using Constrained Maximum Likelihood (CML) approach, and then schedules a group of users with optimal precoding using the estimated channels. Simulation results demonstrate that the proposed scheme greatly improves system throughput with a bit of feedback overhead.
The Multiplexing Gain of MIMO X-Channels with Partial Transmit Side-Information  [PDF]
Natasha Devroye,Masoud Sharif
Mathematics , 2007,
Abstract: In this paper, we obtain the scaling laws of the sum-rate capacity of a MIMO X-channel, a 2 independent sender, 2 independent receiver channel with messages from each transmitter to each receiver, at high signal to noise ratios (SNR). The X-channel has sparked recent interest in the context of cooperative networks and it encompasses the interference, multiple access, and broadcast channels as special cases. Here, we consider the case with partially cooperative transmitters in which only partial and asymmetric side-information is available at one of the transmitters. It is proved that when there are M antennas at all four nodes, the sum-rate scales like 2Mlog(SNR) which is in sharp contrast to [\lfloor 4M/3 \rfloor,4M/3]log(SNR) for non-cooperative X-channels \cite{maddah-ali,jafar_degrees}. This further proves that, in terms of sum-rate scaling at high SNR, partial side-information at one of the transmitters and full side-information at both transmitters are equivalent in the MIMO X-channel.
Achievable Throughput of Multi-mode Multiuser MIMO with Imperfect CSI Constraints  [PDF]
Jun Zhang,Marios Kountouris,Jeffrey G. Andrews,Robert W. Heath Jr
Mathematics , 2008,
Abstract: For the multiple-input multiple-output (MIMO) broadcast channel with imperfect channel state information (CSI), neither the capacity nor the optimal transmission technique have been fully discovered. In this paper, we derive achievable ergodic rates for a MIMO fading broadcast channel when CSI is delayed and quantized. It is shown that we should not support too many users with spatial division multiplexing due to the residual inter-user interference caused by imperfect CSI. Based on the derived achievable rates, we propose a multi-mode transmission strategy to maximize the throughput, which adaptively adjusts the number of active users based on the channel statistics information.
Two-Stage Subspace Constrained Precoding in Massive MIMO Cellular Systems  [PDF]
An Liu,Vincent Lau
Mathematics , 2015,
Abstract: We propose a subspace constrained precoding scheme that exploits the spatial channel correlation structure in massive MIMO cellular systems to fully unleash the tremendous gain provided by massive antenna array with reduced channel state information (CSI) signaling overhead. The MIMO precoder at each base station (BS) is partitioned into an inner precoder and a Transmit (Tx) subspace control matrix. The inner precoder is adaptive to the local CSI at each BS for spatial multiplexing gain. The Tx subspace control is adaptive to the channel statistics for inter-cell interference mitigation and Quality of Service (QoS) optimization. Specifically, the Tx subspace control is formulated as a QoS optimization problem which involves an SINR chance constraint where the probability of each user's SINR not satisfying a service requirement must not exceed a given outage probability. Such chance constraint cannot be handled by the existing methods due to the two stage precoding structure. To tackle this, we propose a bi-convex approximation approach, which consists of three key ingredients: random matrix theory, chance constrained optimization and semidefinite relaxation. Then we propose an efficient algorithm to find the optimal solution of the resulting bi-convex approximation problem. Simulations show that the proposed design has significant gain over various baselines.
Interference Alignment with Quantized Grassmannian Feedback in the K-user Constant MIMO Interference Channel  [PDF]
Mohsen Rezaee,Maxime Guillaud
Mathematics , 2012,
Abstract: A simple channel state information (CSI) feedback scheme is proposed for interference alignment (IA) over the K-user constant Multiple-Input-Multiple-Output Interference Channel (MIMO IC). The proposed technique relies on the identification of invariants in the IA equations, which enables the reformulation of the CSI quantization problem as a single quantization on the Grassmann manifold at each receiver. The scaling of the number of feedback bits with the transmit power sufficient to preserve the multiplexing gain that can be achieved under perfect CSI is established. We show that the CSI feedback requirements of the proposed technique are better (lower) than what is required when using previously published methods, for system dimensions (number of users and antennas) of practical interest. Furthermore, we show through simulations that this advantage persists at low SNR, in the sense that the proposed technique yields a higher sum-rate performance for a given number of feedback bits. Finally, to complement our analysis, we introduce a statistical model that faithfully captures the properties of the quantization error obtained for random vector quantization (RVQ) on the Grassmann manifold for large codebooks; this enables the numerical (Monte-Carlo) analysis of general Grassmannian RVQ schemes for codebook sizes that would be impractically large to simulate.
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