Time‐varying channel estimation for MIMO/OFDM systems using superimposed training and basis expansion models

An approach of superimposed training (ST)‐aided time‐varying (TV) channel estimation for multiple‐input multiple‐output orthogonal frequency division multiplexing systems is presented. By modeling the TV channel with the truncated discrete basis expansion model, a two‐step approach is adopted to estimate the TV channel. In addition, the mean square error (MSE) of the proposed channel estimation is analyzed, and its closed‐form expression is derived, which is a function of the data‐to‐ST power ratio. Using the developed channel MSE, we case the problem of ST power‐allocation by minimizing the lower bound on the average channel capacity. To enhance the performance of channel estimation, a low‐complexity decision feedback mechanism is introduced to iteratively mitigate the unknown data interference. Numerical results verify the performances of the proposed approach. Copyright © 2012 John Wiley & Sons, Ltd.     

Kalman filter‐based channel estimation and ICI suppression for high‐mobility OFDM systems

The use of orthogonal frequency division multiplexing (OFDM) in frequency‐selective fading environments has been well explored. However, OFDM is more prone to time‐selective fading compared with single‐carrier systems. Rapid time variations destroy the subcarrier orthogonality and introduce inter‐carrier interference (ICI). Besides this, obtaining reliable channel estimates for receiver equalization is a non‐trivial task in rapidly fading systems. Our work addresses the problem of channel estimation and ICI suppression by viewing the system as a state‐space model. The Kalman filter is employed to estimate the channel; this is followed by a time‐domain ICI mitigation filter that maximizes the signal‐to‐interference plus noise ratio (SINR) at the receiver. This method is seen to provide good estimation performance apart from significant SINR gain with low training overhead. Suitable bounds on the performance of the system are described; bit error rate (BER) performance over a time‐invariant Rayleigh fading channel serves as the lower bound, whereas BER performance over a doubly selective system with ICI as the dominant impairment provides the upper bound. Copyright © 2008 John Wiley & Sons, Ltd.     

一种改进的OFDM载波干扰自消除算法

OFDM系统因采用正交子载波技术使得对频率偏移非常敏感,尤其是当频率偏移较大时,误码率性能严重恶化.在分析由Zhao等提出的ICI自消除算法及其改进算法的基础上,提出一种收发端权重因子联合优化算法,该算法极大地提高了OFDM系统的载干比(CIR,carrier-to-interference power ratio)性能.仿真表明,该算法不仅实现简单,而且在频率偏移较大时仍然具有很好的性能.     

时间选择性快衰落信道中OFDM系统的ICI功率分析

OFDM(Orthogonal Frequency Division Multiplexing,正交频分复用)系统中,信道的时间选择性快衰落会破坏子载波间的正交性,导致系统中出现载波间干扰(Inter-carrier Interference,ICI),降低OFDM系统性能.论文使用信道函数泰勒展开式的前两项近似信道函数,并以此为基础分析了OFDM在时间选择性快衰落信道中的性能,给出了ICI功率及其上界与信道最大多普勒扩展的关系式.仿真分析表明论文给出的关系式和ICI功率上界能够较为准确的描述OFDM系统在快衰落信道中ICI功率及其上界与信道最大多普勒扩展的关系.     

一种基于径向基函数网络的OFDM信道估计及跟踪方法

本文提出了一种基于径向基函数网络(RBFN)的正交频分复用(OFDM)系统信道估计及跟踪算法。该方法采用分散导频,并将RBFN网络参数相应地分成子集,依次利用导频子集对网络参数子集进行训练、更新,RBFN在学习与逼近信道响应时利用了OFDM信道的时频相关性。仿真结果表明该信道跟踪方法具有良好的误码率性能,且对快衰落有很强的鲁棒性。     

快衰落信道下OFDM系统的信道估计简化算法

在快衰落时变信道中，正交频分复用（OFDM：Orthogonal Frequency Division Multiplexing）系统子载波间的正交性会遭到破坏，由此引起的载波间干扰（ici：Inter-Carrier Interferellce）会对系统性能带来很大的影响。本文提出了一种利用时域线性模型的信道估计算法，利用随时间线性变化的模型描述信道。仿真结果表明，本算法能够有效地消除载波间干扰，降低系统的BER。与类似算法相比，当系统的BER性能相同时，算法复杂度大大的降低。     

Progressive iterative channel estimation in fast time-varying OFDM systems

Considering the joint channel estimation and data detection in time-varying orthogonal frequency division multiplexing （OFDM） and addressing transmission performance degradation induced by the severe inter-carrier interference （ICI） at very high speed, a new progressive iterative channel estimation scheme is proposed. To alleviate the error propagation of the inaccurate data due to ICI, the measurement subcarriers in the Kalman filter is designed to be extended from pilots subcarriers to all the subcarriers progressively through the iterations. Furthermore, in iteration process, the interference of the non-pilot data to the measurement subcarriers is considered to be part of noise in the modified Kalman filter, which improves the estimation accuracy. Simulation indicates that the proposed scheme improves the performance in fast time-varying situation.     

Iterative estimation of doubly selective channels with ICI suppression for OFDM using KL-BEM

Channel estimation for orthogonnl frequency division multiplexing(OFDM)systems operating over doubly selective channels is complicated by the existence of intercarrier interference(ICI).This paper extends the idea of estimating time-variant channel impulse response(CIR)via time-averaged CIR.proposed by Hijazi,and proposes a low-complexity channel estimation scheme with ICI suppression based on Karhnnen-Loeve basis expansion model(KL-BEM),which is in a more general form.In the proposed scheme,the KL-BEM coefficients are obtained through their numerical relationship with the time-averaged CIR.The estimation performance is improved by adopting an expectation-maximization(EM)-based iterative structure combined with a low-complexity ICI equalizer and canceller.Theoretical analysis and simulation results show that the proposed scheme achieves superior performance over the original one with lower computational complexity.     

A new ICI mitigation method with generalized data‐allocation for OFDM systems

This paper describes an ICI mitigation method based on the generalized data‐allocation of (1, ?β) for orthogonal frequency division multiplexing systems. To improve the performance of the ICI mitigation for the higher‐frequency offset, we propose an efficient search algorithm to generate the sub‐optimal parameter β for maximizing the carrier‐to‐interference ratio (CIR). The CIR and bit error rate performances of the proposed method were derived in this paper. The performances with different carrier frequency offset scenarios were evaluated by computer simulations. According to the simulation results, the performance of the proposed ICI mitigation scheme is better than that of the conventional ICI self‐cancellation scheme and is nearly the same as that of the ICI self‐cancellation scheme for the optimal parameter β. Additionally, the proposed ICI mitigation scheme has a dramatically reduced hardware complexity in comparison with the ICI self‐cancellation scheme for the optimal parameter β. Copyright © 2009 John Wiley & Sons, Ltd.     

A novel ICI self‐cancellation scheme for OFDM systems

We propose a novel intercarrier interference (ICI) self‐cancellation scheme for orthogonal frequency division multiplexing (OFDM) systems. The symmetric scheme is the best among all ICI self‐cancellation scheme in the literature. Its coefficient pair is (1, ? 1), and the loading subcarriers are the k_th and N?k ? 1_th subcarriers, where N is the number of subcarriers. We propose to modify the symmetric scheme and change the coefficient pair from (1, ? 1) to (1, ?µ) where µis between 0 and 1. The proposed modified symmetric scheme has better carrier‐to‐interference‐ratio (CIR) than all previous ICI self‐cancellation schemes by at least 1.7 dB when the normalized frequency offset is 0.5. Copyright © 2011 John Wiley & Sons, Ltd.     

Computationally efficient channel estimation and inter-carrier interference suppression for OFDM communication systems

This article puts forward a novel channel estimation and inter-carrier interference (ICI) suppression method for time-varying orthogonal frequency division multiplexing (OFDM) systems. The proposed adaptive finite impulse response (FIR) filter utilizes the time domain correlation of the subcarriers. Based on the one order auto-regressive (AR) model, a modified Kalman filter is exploited to track the channel variance. By solving the Yule-Walker equation, the coefficient of the AR process can be obtained from zero order Bessel function. However, when the channel is assumed not perfectly known, the above criterion will lead to an impractical application. To deal with it, the coefficient of the AR process is taken as a constant. Subsequently a new state space model is deduced and found. Simulation results show that the proposed method can work effectively at the speed of 144 km/h with a phase noise of -85 dBc/Hz at 100 kHz offset. The proposed method yields an improvement bit error rate (BER) compared with three of the existing algorithms with much lower complexity.     

OFDM系统中的迭代并行子载波间干扰消除技术

由于实际信道的时变性，OFDM系统中每一子载波上的接收信号受到其它子载波上所传输信号的影响，形成载波间干扰(ICI)并造成误码性能降低。本文提出了适用于OFDM系统的迭代并行子载波间干扰消除接收技术，分析和仿真结果表明此方法可以有效地消除载波间干扰，在归一化多普勒频移为0．1和0．001时，分别提高接收机的性能0.8dB和0．5dB。     

OFDM系统中载波间干扰抑制方法

在高速移动通信环境下,OFDM系统在传输过程中出现的多普勒频移和收发两端本地振荡器之间的频率偏差,形成子载波间干扰(ICI)并造成系统性能降低。在分析子载波间干扰机制的基础上,讨论了自消除方法和分段均衡方法,并提出一种利用加窗技术改进的分段均衡方法。仿真结果表明,采用该改进的分段均衡方法能更好地改善系统的性能,有约2 dB的信道估计增益。     

Time-varying channel estimation in OFDM systems based on multiple symbols BEM

In view of the problem of low frequency spectrum utilization for the time-varying channel estimation in orthogonal frequency division multiplexing(OFDM) systems based on basis expansion model (BEM),a new method based on multiple symbols BEM was proposed.Compared with the conventional method based on single symbol,the proposed method reduced the subcarriers for pilots.And by means of the baseline tilting technique,the new method mitigated the Gibbs phenomenon caused by Fourier series expansion.The theoretical analysis reveals that the channel model error is reduced due to the introduction of the baseline tilting technique when the normalized Doppler frequency is no more than $\frac{\frac{1}{2}-\frac{1}{M}}{1+\frac{N_g}{N}}$.Finally,the numerical simulation shows that compared with conventional methods,the proposed algorithm achieves significant improvement on the estimation error performance and bit error rate (BER) performance under the conditions of the corresponding time-varying channel.     

Robust ICI Self-cancellation OFDM Receiver with Dynamic Phase and Amplitude Estimations

Orthogonal frequency division multiplexing (OFDM) has been applied in the current wireless local-area networks and digital video broadcasting since it is robust against the frequency-selective channels. However, there is still a crucial intercarrier-interference (ICI) problem due to Doppler effect, local frequency drift and sampling clock offset, associated with OFDM systems. Recently ICI self-cancellation schemes have been proposed to significantly reduce the ICI and empirically they greatly outperform the convolutional coding schemes adopted by the IEEE 802.11 standard. However, all existing ICI self-cancellation receivers are still sensitive to the phase and amplitude ambiguities due to the phase offset, the local oscillator frequency drift and the multipath reflections. Therefore, in this paper, a novel receiver design integrating the ICI self-cancellation with a proposed dynamic phase and amplitude estimation mechanism is introduced, which can well solve the ambiguity problem. The Monte Carlo simulation results show that our phase and amplitude estimators can greatly decrease the error probability for the final symbol detection in the ICI self-cancellation OFDM receivers.     

移动OFDM系统中的ICI消除算法研究

在宽带OFDM系统中,高速移动引起的多普勒效应导致载波间干扰(InterCarrier Interference, ICI)。该文在充分利用ICI分布特性的基础上,使用部分信道信息推导出两种新的低复杂度MMSE和DFE均衡算法。分析及仿真表明,新算法能够灵活可控地实现接收机性能与复杂度的有效折衷。在计算开销近似相同的条件下,提出的DFE均衡方案有效消除了传统接收机差错性能的地板效应(error floor),从而获得了性能改善。     

Iterative receiver for OFDM systems based on semi-blind channel estimation

In this paper we propose two iterative algorithms of joint channel estimation and symbol detection for Orthogonal Frequency Division Multiplexing （OFDM） systems. In which, superimposed pilot scheme is adopted and an initial Channel State Information （CSI） is obtained by employing a first-order statistic. In each subsequent iteration, we propose two algorithms to update the CSI. The Mean Square Error （MSE） of channel estimation and Bit Error Rate （BER） performance are given and simulation results demonstrate that the iterative algorithm using method B has good performance approaching the ideal condition.     

基于PSD估计的OFDM系统多径信道估计方法

本文通过功率谱估计(PSD)估计来估计无线多径信道,然后在系统中进行信道均衡.仿真结果证明,PSD估计信道的均方误差优于最小二乘估计和最小均方误差估计的均方误差;通过信道均衡,系统性能基本接近于信道已知条件下的性能.     

High mobility channel estimation method based on improved basis expansion model

In this paper, the problem of high mobility channel estimation in the Long-Term Evolution for Railway (LTE-R) communication system is investigated. By using a Basis Expansion Model (BEM), the channel impulse response is modeled as the sum of several basis functions multiplied by coefficients. By estimating the basis function coefficients, the fast time-varying channel can be approximated. In order to reduce the estimation error resulting from the high frequency basis function, the Generalized Complex Exponential BEM (GCE-BEM) is modified to form an Improved GCE-BEM (IGCE-BEM) by adding a correction coefficient to the basis function. Moreover, an Improved Baseline Tilting (IBT) method is proposed to reduce the Gibbs effect. In addition, linear interpolation, Gauss interpolation, and three-order Hermite interpolation are adopted to obtain the channel impulse response at non pilot locations based on the channel estimation results at pilot positions. The simulation results show that the IGCE-BEM outperforms the CE-BEM and GCE-BEM in terms of the Normalized Mean Squared Error (NMSE). The IBT method is better than the BT method in reducing the Gibbs effect. In addition, combined with the IBT, the IGCE-BEM also has low NMSE under high moving speed and high noise power. The performance of the three-order Hermite interpolation method is higher than that of the linear interpolation and Gauss interpolation approaches.     

基于ICI干扰消除的OFDM线性时变信道估计方法

多普勒频移破坏了OFDM子载波的正交性,导致系统产生子载波间干扰。针对此问题,文中提出了一种基于ICI干扰消除的时变信道估计方法。该方法利用前一符号的信道斜率,消除当前系统符号所受到的ICI干扰。在归一化多普勒频小于0.15时,所述算法的信道估计均方误差比传统算法更小,系统误码率性能更优秀。