Outage Performance of OSTBC in MIMO Channels with Shadowing

In this letter, taking into account realistic propagation environments in the presence of log- normal shadowing, we analyze the outage performance of orthogonal space-time block coding (OSTBC) for an arbitrary finite number of transmit and receive antennas. An approximate expression for the outage probability of OSTBC over Rayleigh-fading multiple-input multiple-output (MIMO) channels with shadowing is presented. Finally we give some numerical results to verify our analysis.     

Effect of Matrix Partitioning on Second Order Statistics of Fading Channels

In this paper, the expressions for level crossing rate and average fade duration of two-branch selection combining are derived using the proposed matrix partitioning based method for a space-diversity system using a two-branch horizontal linear antenna array at the mobile station. It has been observed that when the antennas are perpendicular to the direction of the vehicle motion, the average fade duration is not very much dependent on the antenna spacing and is almost identical to that for independent fading except for very small antenna spacing. On the other hand, when the antennas are parallel to the direction of the vehicle motion, the level crossing rate can be reduced below the value obtained for independent fading, although the average fade duration deteriorates, especially for small antenna spacing. Numerical results are presented and compared with the existing characteristic function based methods including Gaussian fluctuation effects.     

A Study on the Second Order Statistics of Nakagami-Hoyt Mobile Fading Channels

In this paper, study of the second order statistics of the Nakagami-Hoyt fading channel model (Nakagami-$q$model) is considered. Expressions for the level crossing rate (LCR) as well as the average duration of fades (ADF) are derived. It is shown that the obtained analytical quantities best fit the corresponding measurement data for an equivalent mobile satellite channel in the case of an environment with heavy shadowing. This leads to the conclusion that the Nakagami-$q$model is applicable to realistic mobile communication channels. A simple and efficient deterministic simulation model based on the Rice's sum of sinusoids, which enables the emulation of the fading envelope of the Nakagami-$q$model with the desired statistics, is also described. A very good agreement is obtained between the simulated, analytical, and experimental statistics.     

Outage Capacity of MIMO Poisson Fading Channels

The information outage probability of a shot-noise limited direct detection multiple-input–multiple-output (MIMO) optical channel subject to block fading is considered. Information is transmitted over this channel by modulating the intensity of a number of optical signals, one corresponding to each transmit aperture, and individual photon arrivals are observed at multiple receive photodetector apertures. The transmitted signals undergo multiplicative fading. The fading occurs in coherence intervals of fixed duration in each of which the channel fade matrix remains constant, and changes across successive such intervals in an independent and identically distributed fashion. The transmitter and the receiver are assumed to be provided with perfect channel state information (CSI). An optimization formulation for the outage probability problem is outlined and an exact characterization of the optimal average conditional duty cycles is provided.      

Capacity of MI MO LAS-CDMA System Under Correlating Multi-Path Fading Channels

1IntroductionMI MOtechnology has emerged as a key method toachieve high spectral and power efficiency in wirelesscommunications .By the work of E. Telatar and Fosi-chini[1 ~6]et al .,the capacity of aMtransmite anten-nas andNreceive antennas systemcan be min( M,N)ti mes that of a single antenna system,that is to say ca-pacity canincreaselinealy with minumof the number ofantennas at transmiter and receiver .In order to encounter multi-paths fading,capacity oftraditional BLAST-CDMAis res…     

Asymptotic Mutual Information Statistics of Separately Correlated Rician Fading MIMO Channels

The asymptotic probability distribution of the mutual information of a separately correlated Rician fading multiple-input multiple-output (MIMO) channel is addressed. The mean and variance of the mutual information are derived when the number of transmit and receive antennas grows asymptotically large while their ratio approaches a finite constant. This derivation is based on the replica method, widely used in theoretical physics and, more recently, in the analysis of communication systems (code-division multiple access (CDMA) and MIMO). Though the replica method allows to analyze complex systems in a comparatively simple way, some authors pointed out that its assumptions are not always rigorous. It is shown that the mutual information converges asymptotically to a Gaussian distribution under mild technical conditions, which are tantamount to assuming that the spatial correlation structure has no asymptotically dominant eigenmodes. The accuracy of the asymptotic approach is assessed by numerical results. It is shown that the approximation is very accurate in a wide range of system settings, even when the number of transmit and receive antennas is as small as a few units.     

Nakagami-m Keyhole衰落信道下MIMO系统容量及天线选择

本文全面地分析了在Nakagami-m衰落信道下具有"匙孔"(keyhole)效应时正交块空时编码(STBCs)的多输入多输出 (MIMO)系统的容量以及误比特率(BER)性能,导出了该系统环境下平均容量的紧下边界值,同时得出了系统中断概率的具体表达式及其误码率的近似值.在此基础上分析了Keyhole MIMO信道下的天线选择问题.最后进行了仿真,其结果与理论分析一致.研究表明,在Keyhole MIMO信道中,采用天线选择仍然能够获得与全复杂系统相同的分集增益.     

MIMO-OFDM系统无线衰落信道容量分析

推导了MIMO-OFDM系统在衰落信道下的各态历经容量、最优发送策略、使用等功率分配时的容量上界以及相对于单天线OFDM系统的容量增益。结果表明：天线数和平均接收信噪比是决定MIMO-OFDM系统信道容量的关键因素。天线数越多或者接收信噪比越大,信道的容量越大,信道容量几乎不受多径时延扩展的影响。慢衰落信道下的最大信道容量可以使用空-频两维注水算法得到,当接收信噪比足够大时,最大信道容量也可以用平均分配发送功率的方法逼近。     

相关瑞利分集系统容量的研究

一般来说,充分利用无线信道的特性能够极大地提高通信系统的容量,但是对于相关瑞利信道的平均容量讨论的不多。文章借助于一种线性变换的方法,得出了一种相关瑞利分集情况下容量的近似表达式,简化了在通常情况下的复杂的表达式。数值计算的结果也形象地说明了相关系数对分集容量的影响,以及分集能够有效的提高系统的容量。     

On the Secrecy Capacity of Fading Channels

We consider the secure transmission of information over an ergodic fading channel in the presence of an eavesdropper. Our eavesdropper can be viewed as the wireless counterpart of Wyner's wiretapper. The secrecy capacity of such a system is characterized under the assumption of asymptotically long coherence intervals. We first consider the full channel state information (CSI) case, where the transmitter has access to the channel gains of the legitimate receiver and the eavesdropper. The secrecy capacity under this full CSI assumption serves as an upper bound for the secrecy capacity when only the CSI of the legitimate receiver is known at the transmitter, which is characterized next. In each scenario, the perfect secrecy capacity is obtained along with the optimal power and rate allocation strategies. We then propose a low-complexity on/off power allocation strategy that achieves near-optimal performance with only the main channel CSI. More specifically, this scheme is shown to be asymptotically optimal as the average signal-to-noise ratio (SNR) goes to infinity, and interestingly, is shown to attain the secrecy capacity under the full CSI assumption. Overall, channel fading has a positive impact on the secrecy capacity and rate adaptation, based on the main channel CSI, is critical in facilitating secure communications over slow fading channels.      

衰落信道空间相关对MIMO系统容量的影响

在理想多输入多输出(MIMO)系统容量的基础上,推导了衰落信道空间相关性对MIMO系统容量的影响,并通过MATLAB仿真进行了验证,最后给出了结论。     

Capacity of MRC on Correlated Rician Fading Channels

A new exact explicit expression is derived for the ergodic capacity of maximal ratio combining (MRC) schemes over arbitrarily correlated Rician fading channels. This is used to study the effects of channel correlation on the ergodic capacity. Numerical results reveal that both the phase and the magnitude of correlation have an impact on the ergodic capacity of Rician fading channels. This is in contrast to correlated Rayleigh fading, where the phase of the correlation has no effect on the ergodic capacity. It is also observed that negatively correlated branches in Rician fading may lead to an increase in ergodic capacity beyond that obtained by uncorrelated branches.     

一种分布式多入多出(MIMO)信道的容量研究

分布式MIMO系统结合了点对点MIMO信道与分布式天线系统两者的特点，能改善链路的质量，提高覆盖面积。本文提出了一种包含路径损耗、阴影衰落与小尺度衰落的分布式MIMO信道模型，分析推导了采用该模型时的分布式MIMO信道容量。通过计算机仿真，研究分析了阴影衰落、Rice信道因子K等因素对分布式MIMO上行信道容量的影响，得出了分布式MIMO信道容量空间分布的特点。     

DSSS通信系统中干扰环境下码捕获 和阵列权值联合捕获

提出了空时相关器(STC)方法,同时实现干扰环境下使用自适应阵列的直接序列扩谱(DSSS)通信系统的码捕获和自适应阵列波束形成权值捕获,在码捕获时通过波束形成抑制干扰提高检测性能.对干扰环境下空域最优合并方式的检测性能进行了理论分析,仿真结果与理论预测一致,分析结果表明STC可同时有效的捕获码定时和自适应阵列权值,最优合并方式的虚警概率与干扰和背景噪声功率无关,可实现恒虚警检测.     

平坦衰落环境中多输入多输出系统衰落相关与信道容量研究

为分析模型物理参数和天线排列方式对多输入多输出系统信道容量的影响,提出了一种平坦衰落环境中信道容量的研究方法。该方法基于接收均匀圆阵和均匀线阵分别构建了蕴含模型物理参数的相关矩阵,并利用Wishart分布的性质推导了信道容量上下限。该方法回避了求取衰落相关矩阵特征值的概率密度函数,降低了运算量;可被推广到多天线-频分复用系统。仿真结果表明,天线间距较小时,采用均匀圆阵比均匀线阵的系统信道容量要高;天线间距增大到一定程度后,系统信道容量达到饱和。散射角越大,信道容量的增长速率越快且采用均匀线阵比均匀圆阵系统的信道容量高。接收信噪比较大时,平均信道容量上下限基本接近其实际值。     

Joint and Marginal Eigenvalue Distributions of (Non)Central Complex Wishart Matrices and PDF-Based Approach for Characterizing the Capacity Statistics of MIMO Ricean and Rayleigh Fading Channels

This paper characterizes the eigenvalue distributions of full-rank Hermitian matrices generated from a set of independent (non)zero-mean proper complex Gaussian random vectors with a scaled-identity covariance matrix. More specifically, the joint and marginal cumulative distribution function (CDF) of any subset of unordered eigenvalues of the so-called complex (non)central Wishart matrices, as well as new simple and tractable expressions for their joint probability density function (PDF), are derived in terms of a finite sum of determinants. As corollaries to these new results, explicit expressions for the statistics of the smallest and largest eigenvalues, of (non)central Wishart matrices, can be easily obtained. Moreover, capitalizing on the foregoing distributions, it becomes possible to evaluate exactly the mean, variance, and other higher order statistics such as the skewness and kurtosis of the random channel capacity, in the case of uncorrelated multiple-input multiple-output (MIMO) Ricean and Rayleigh fading channels. Doing so bridges the gap between Telatar's initial approach for evaluating the average MIMO channel capacity (Telatar, 1999), and the subsequently widely adopted moment generating function (MGF) approach, thereby setting the basis for a PDF-based framework for characterizing the capacity statistics of MIMO Ricean and Rayleigh fading channels.     

On the Outage Capacity of Correlated Multiple-Path MIMO Channels

The use of multiple-antenna arrays can dramatically increase the throughput of wireless communication systems. Thus, it is important to characterize the statistics of the mutual information for realistic correlated channels. Here, a mathematical approach is presented, using the method of replicas, that provides analytic expressions not only for the average, but also for the higher moments of the distribution of the mutual information for the most general zero-mean Gaussian multiple-input multiple-output (MIMO) channels when the channel is known at the receiver. These channels include multitap delay paths, and channels with covariance matrices that cannot be written as a Kronecker product, such as general dual-polarized correlated antenna arrays. This approach is formally valid for large antenna numbers, in which case all cumulant moments of the distribution, other than the first two, scale to zero. In addition, it is shown that the replica-symmetric result is valid if the variance of the mutual information is positive and finite. In this case, it is shown that the distribution of the mutual information tends to a Gaussian, which enables the calculation of the outage capacity. These results are quite accurate even for few antennas, which makes this approach applicable to realistic situations.     

The Performance of Multiuser Diversity Scheduling for MIMO Channels With Spatially Correlated Fading

We study a cellular network with one multiantenna base station and a number of multiantenna users. Correlated fading may exist at the base station or at the users, or at both sides. With time-varying fading, multiuser diversity is exploited by always allowing the base station to transmit to the user with the best channel. For this network, we find that if the number of transmitter antennas and the number of receiver antennas grow with a fixed ratio, the multiuser diversity gain will approximately remain constant.     

On the Capacity and Energy Efficiency of Training-Based Transmissions Over Fading Channels

In this paper, the capacity and energy efficiency of training-based communication schemes employed for transmission over a priori unknown Rayleigh block-fading channels are studied. Initially, the case in which the product of the estimate error and transmitted signal is assumed to be Gaussian noise is considered. In this case, it is shown that bit energy requirements grow without bound as the signal-to-noise ratio (SNR) goes to zero, and the minimum bit energy is achieved at a nonzero SNR value below which one should not operate. The effect of the block length on both the minimum bit energy and the SNR value at which the minimum is achieved is investigated. Flash training and transmission schemes are analyzed and shown to improve the energy efficiency in the low-SNR regime. In the second part of this paper, the capacity and energy efficiency of training-based schemes are investigated when the channel input vector in each coherence block is subject to peak power constraints. The capacity-achieving input structure is characterized and the magnitude distribution of the optimal input is shown to be discrete with a finite number of mass points. The capacity, bit energy requirements, and optimal resource allocation strategies are obtained through numerical analysis. The improvements in energy efficiency when on-off keying (OOK) with fixed peak power and vanishing duty cycle is employed are studied.