Pilot Based Channel Estimation in IEEE 802 16a OFDM System

1　Introdution　IEEE 802 16[1] is a specification for fixed broadbandwireless Metropolitan Access Networks (MAN). The stan dard is expected to bring low cost and more bandwidth prod ucts for broadband wireless access in the next years. Thisstandard specifies the physical (PHY) and Medium AccessControl layer (MAC) of the air interface of interoperablepoint to multipoint and optional Mesh topology broadbandwireless access system. The specification enables access todata, …     

基于多中继导频频分复用的协同通信系统信道估计算法

本文针对频率选择性衰落环境下结合正交频分复用技术的放大转发多中继协同通信系统,提出了基于导频频分复用的频域信道估计算法,包括最小二乘（LS）估计算法和线性最小均方误差（LMMSE）估计算法。理论分析和仿真结果表明,该算法不仅成功分辨了多中继协同通信系统的所有频域信道衰落系数,避免了各中继节点转发的导频符号在目的节点上的混叠干扰,而且减少了频域信道估计所需的导频符号数量和时隙周期长度,提高了协同通信系统的传输效率和频谱利用率,同时显著提高了信道估计的精度,降低了算法的复杂度,具有较高的实用价值。      

基于导频的光OFDM系统信道估计

信道估计是光正交频分复用（OOFDM）系统关键技术之一,为了克服光纤色散和模式的传输时延所产生的载波间干扰（ICI）,设计了一种基于导频的信道估计器,通过分析最小二乘（LS）和线性最小均方误差（LMMSE）算法估计原理,仿真实验比较两种算法的误比特率和均方误差性能,实验结果表明,LS与LMMSE在OOFDM系统中都有较好的作用,但LMMSE算法性能要优于LS算法。     

An Accurate and Very Low Complexity LMMSE Channel Estimation Technique for OFDM Systems

In this paper, we propose a very low linear minimum mean square error (LMMSE) channel estimation technique for orthogonal frequency division multiplexing (OFDM) systems. The conventional LMMSE, based on the autocorrelation channel matrix, requires \(O(N_P^3)\) operations (\(N_P\) represents the total number pilot in one OFDM symbol). By exploiting the structure of the channel autocorrelation matrix, we propose a very low complexity LMMSE channel estimator which requires only \(O(N_PlogN_P)\) operations. Simulation results show that the proposed technique yields the same performances as well as the classical LMMSE in terms of bit error rate and mean square error.     

An investigation into time-domain approach for OFDM channelestimation

A time-domain based channel estimation for OFDM system with pilot-data multiplexed scheme is investigated. As an approximation to linear minimum mean square estimator (LMMSE), a time-domain based channel estimation is proposed where intra-symbol time-averaging and most significant channel taps selection are applied. The relation and differences of the proposed method to DFT-based LMMSE methods are discussed. The performances of the proposed method, DFT-based LMMSE method and the methods of Chini, Wu, El-Tanany and Mahmoud (see IEEE Trans. on Broadcasting, vol.44, no.1, p.2-11, 1998) and of Yeh and Lin (see IEEE Trans. on Broadcasting, vol.45, no.4, p.400-409, 1999) are evaluated in multipath fading channels. The simulation results show that proposed method achieves almost the same performance as DFT-based LMMSE method and better BER performance than the other methods while keeping less complexity     

OFDM系统中信道估计方法的研究

LS算法是OFDM系统信道估计方法中计算复杂度最低性能最差的方法.根据有限长度h的能量分布,提出了一种改进算法.通过仿真,与LS算法和性能较好的LMMSE比较,验证了改进后的LS算法性能优于最初的LS算法,并可在实际中得到较好的应用.     

Model-based channel estimation for OFDM signals in Rayleigh fading

This paper proposes a robust pilot-assisted channel estimation method for orthogonal frequency division multiplexing (OFDM) signals in Rayleigh fading. Our estimation method is based on nonlinear regression channel models. Unlike the linear minimum mean-squared error (LMMSE) channel estimate, the method proposed does not have to know or estimate channel statistics like the channel correlation matrix and the average signal-to-noise ratio (SNR) per bit. Numerical results indicate that the performance of the proposed channel estimator is very close to the theoretical bit error propagation lower bound that is obtained by a receiver with perfect channel response information     

A comparison of two 2D channel estimators for OFDM system

The paper deals with two-dimensional （2D） channel estimation of Orthogonal Frequency Division Multiplexing （OFDM） system ill slow fading wireless channel. We concentrate on two channel estimation schemes： Least Square （LS）＋Weighted BiLinear （WBL） and LS＋Linear Minimum Mean-Squared Error （LMMSE） where the first method is proposed in this paper. After theory analysis and simulation in Typical Urban （TU） channel, we find that LS＋LMMSE achieves the optimal perform- anee by exploiting prior knowledge of channel whereas LS＋WBL, without requiring channel knowl- edge and with only half of the computational amount of LS＋LMMSE, approaches LS＋LMMSE in Bit Error Ratio （BER） performance when the distance of two adjoining pilot symbols along frequency direction is sufficiently small. This makes LS＋WBL very suitable for wideband wireless applications.     

基于块状导频的OFDM信道估计

首先对OFDM系统中基于导频辅助的信道估计算法进行研究,为了降低复杂度,利用奇异值分解(SVD)给出一种低阶近似的信道估计器。仿真结果表明LMMSE算法利用信道相关特性增加了运算量,但可以获得较好的估计效果,其简化算法(SVD)的性能略有下降,且随着信噪比增大,会出现"地板效应"。     

协同OFDM系统中继节点发送训练序列的功率分配算法

考虑到在复杂街区环境中由于距离太远或者障碍物阻挡等原因,造成源节点和目的节点之间没有直接链路,而是利用多个中继进行协同传输的情景,本文针对空间相关信道下的协同OFDM系统,提出了一种中继节点发送训练序列的功率分配算法,从窄带协同信道模型矩阵表示出发,推导得到了宽带协同OFDM信道模型。在已知信道协方差信息情况下,利用LMMSE（Linear Minimum Mean Square Error）准则对中继节点发送的训练序列进行了功率分配。仿真结果表明,该功率分配算法在空间相关信道下具有良好的均方误差性能;与未考虑空间相关性的功率分配算法相比,该算法的估计精度更接近于Cramér Rao界（CRB）。      

Analysis and design of joint CFO/channel estimate techniques for a cooperative STBC‐OFDM system

This paper studies the joint estimation technique of carrier frequency offset (CFO) and channel information for a distributed decode‐and‐forward (DF) cooperative space‐time block‐coded (STBC) orthogonal frequency division multiplexing (OFDM) system. For the considered relay system, we provide theoretical analysis of the effects upon the output signal‐to‐noise ratio (SNR), which is caused by the CFO/channel estimation error. Based on the provided analytical results, a joint CFO/channel estimation scheme is then developed, where the CFO estimate is achieved by a multiple‐dimensional linear search algorithm. Furthermore, we propose an alternative estimation solution with iteration approach being designed for the CFO estimation prior to the channel estimation. In contrast to the former estimator, the iterative method enjoys the advantage of the substantially reduced implementation complexity without sacrificing the estimate performance. The conducted computer simulation results verify the effectiveness of the proposed schemes.     

基于导频符号的信道估计算法研究

正交频分复用(OFDM)是一种高效的数字传输技术,因其较高的频带利用率以及抗多径衰落的性能,被视为下一代无线通信的核心技术.信道估计技术是实现OFDM系统的关键技术之一.文中主要研究了OFDM无线系统中基于导频的信道估计算法--LS算法和LMMSE算法, 通过仿真其算法的误码率特性和均方误差性能表明,LMMSE的性能明显优于LS.     

基于滤波方法的OFDM信道估计研究

维纳滤波和卡尔曼滤波都是基于最小均方误差准则的滤波方法,本文主要研究这两种滤波方法在OFDM信道估计中的应用。为了跟踪频率选择性信道的变化,采用在OFDM系统中易于实现的梳状导频进行研究。传统的MMSE在统计意义上是最好的线性估计器,但是需要对矩阵求逆,是一种计算量较大,算法较复杂的方法。LMMSE是频域维纳滤波方法,其减小了MMSE的复杂度,但只适用于慢衰落信道,针对时变信道,本文提出卡尔曼滤波的信道估计方法,仿真结果表明,卡尔曼滤波的信道估计方法在时变信道中具有良好的性能。     

OFDMA系统中基于LMMSE信道估计算法的 改进及其性能分析

 OFDM调制技术用于移动通信领域时,其信道估计技术是一项关键技术.分析了一种基于频域相关的线性MMSE算法,并根据理论模型的假设,给出了最大时延、噪声功率等参数的近似估计方法,确定了一种可实用的LMMSE信道估计表达式.在此基础上,分析了算法复杂度和进一步简化的可能性.最后给出了不同信道条件下,改进的MMSE算法的性能仿真,并对仿真结果进行了分析.     

Over-sampling basis expansion model aided channel estimation for OFDM systems with ICI

The rapid variation of channel can induce the intercarrier interference in orthogonal frequency-division multiplexing （OFDM） systems. Intercarrier interference will significantly increase the difficulty of OFDM channel estimation because too many channel coefficients need be estimated. In this article, a novel channel estimator is proposed to resolve the above problem. This estimator consists of two parts： the channel parameter estimation unit （CPEU）, which is used to estimate the number of channel taps and the multipath time delays, and the channel coefficient estimation unit （CCEU）, which is used to estimate the channel coefficients by using the estimated channel parameters provided by CPEU. In CCEU, the over-sampling basis expansion model is resorted to solve the problem that a large number of channel coefficients need to be estimated. Finally, simulation results are given to scale the performance of the proposed scheme.     

基于冲激响应加窗法的CO-OFDM系统信道估计研究

针对相干光正交频分复用(CO-OFDM)系统中光纤的色散和信号传输过程中噪声对系统可靠性的降低,提出了信道的冲激响应加窗(IRM,impulse response processed with window)算法,在最小二乘(LS)算法的基础上,通过时域加窗将信道冲激响应长度以外的噪声滤除,保证了信道冲激响应长度在OFDM保护间隔之内。在算法复杂度提高并不大的前提下,IRW算法系统误码率(BER)比LS算法降低了近1个数量级。仿真结果表明,在256个子载波的CO-OFDM系统中,BER为10-4时,IRW算法对系统信噪比(SNR)的要求比LS算法低了近2.5dB,而只比线性最小均方误差(LMMSE)算法高0.7dB;并且,IRW算法的复乘次数仅比LS算法高8倍,而比LMMSE算法的复乘次数低32倍。     

一种实用的基于导频的空时编码OFDM系统信道估计方法

该文研究了在多径衰落信道情况下的基于导频的空时编码OFDM系统的信道估计方法,包括基于DFT的LS,LMMSE算法,提出了一种实用的估计方法,该方法通过优化设计的导频符号避免了复杂的矩阵求逆计算,大大降低了LS,LMMSE算法的复杂度和运算量,在性能上接近理想信道信息情况下的性能。     

OFDM通信系统中的一种通用的信道估计模型

本文根据DFT的一个性质为OFDM通信系统构造了一种通用信道估计模型。该模型利用系统子信道中的一部分专门进行信道估计,适用于慢消失信道。该模型同最小平方差（LS）和最小均方差（LMMSE）相结合分别形成两种信道估计方法,并从理论角度分别分析它们的计算复杂性和均方差性能。对多径信道仿真表明,基于LS的方法误符号率性能比基于LMMSE的方法差2－3dB,但是计算复杂度较低。总之,此信道估计模型的计算复杂度和性能随着用于信道估计的子信道数目增加而增加,当所用子信道数目是周期头长度的两倍时,达到计算量和估计性能的最佳平衡。     

MIMO-OFDM系统中基于导频辅助的信道估计

该文对MIMO-OFDM系统中基于导频辅助的LMMSE信道估计算法进行了研究,导出了其估计均方差的下界。为降低算法复杂度,首先利用奇异值分解给出一种低阶近似的信道估计器结构;其次提出了一种基于最优导频设计的简化算法。该简化算法不仅降低了算法复杂度,且能有效地获得最优估计性能。最后文中给出了估计信道特性的方法。     

A linear minimum mean square error multiuser receiver inRayleigh-fading channels

We generalize the multiuser (CDMA spread spectrum) communication systems to the fading environments. We first extend Verdu's (1986) conventional optimum receiver to Rayleigh-fading environments and then evaluate its performance. Having no knowledge of the received power at the receiving end, we therefore need an estimator to efficiently estimate the received signal strength of each user in fading environments. A linear minimum mean square error (LMMSE) unbiased estimator is proposed to attain this goal. By using the minimum mean square error (MMSE) Bayesian estimation, we further propose the LMMSE bit estimator for efficient demodulation. Its performance is close to the optimum multiuser receiver but with a much simpler polynomial complexity. To further reduce the complexity, we extend the LMMSE estimator to the sequential LMMSE estimator. In sequential estimation, we do not need to implement the matched filter banks and to perform the matrix inversion when estimating. In addition, it converges after approximately 2k iterations, where k is the number of users. With this fast convergence property and the simple structure, the sequential LMMSE estimator provides an attractive alternative to the implementation of a multiuser system