Improved Carrier Frequency Offset Estimation in OFDM Systems

1　Introduction　OrthogonalFrequencyDivisionMultiplexing(OFDM )isaneffectivetransmissionschemetocombatmultipathfading[1 ] .Byinsertingaguardin tervalbetweensymbolblockscalledcyclicprefix ,theInterSymbolInterference (ISI)canbemitigat ed.OFDMwasadoptedasthemodulationschemeforaDigitalAudioBroadcasting(DAB)system[2 ]andADSL (AsymmetryDigitalSubscriberLoop) [3]andwasalsoproposedastheterrestrialHDTVtransportinEurope[4] .　OFDMsystemsareverysensitivetocarrierfre quencyoffset,andcarrie…     

OFDM同步跟踪阶段的频偏估计算法

ＯＦＤＭ对栽频偏差是很敏感的，因此不仅在同步的捕获阶段，而且在同步的跟踪阶段，精确的频偏估计是很重要的。文献［３］提出了一种简化的相干判决反馈的迭代算法来估计同步跟踪阶段的载频偏差，对于１２８个子载波、ＱＰＳＫ调制的ＯＦＤＭ系统，在多径衰落信道下，当频偏小于子载波间隔的１５％时，频偏估计的标准方差小于１％，但是这个结果是在假设信道频率响应、定时偏差、载波相位等参数已知的条件下取得的，而当这些参数的估计存在误差时，由仿真结果可看出，频偏估计性能恶化了，因此，提出了采用差分判决反馈的频偏估计算法，虽然只能估计小于子载波间隔 ８％的频偏，但差分判决反馈算法不需要知道信道的参数，由于在同步跟踪阶段，频偏一般都较小，因此采用差分判决反馈算法可以很好地估计出同步跟踪阶段的频率偏差。     

Blind Estimation of Carrier Frequency Offset and DC Offset for OFDM Systems

In this letter, a blind joint carrier frequency offset and DC offset (DCO) estimator for OFDM systems is proposed. By exploiting the underlying subspace of the received OFDM signals after the time-domain-average based coarse DCO cancellation, the proposed estimator can achieve excellent performance, which is demonstrated by simulations.     

一种新的OFDM系统载波频偏估计算法

在正交频分复用(OFDM)系统中,频率偏移会破坏子载波间的正交性,降低整个系统的性能。在研究传统频偏估计算法的基础上,利用简单的实数训练序列,进行OFDM系统的载波频偏估计,只需要一个训练序列,就可以有效地在时域内同时对小数倍和整数倍的频率偏移进行估计。仿真结果表明,基于实数训练序列的载波频偏估计算法不仅方法简单,易于实现,而且可提高频偏估计精度。     

Carrier Frequency Offset Estimation for OFDM Systems with Null Subcarriers

An accurate estimation of carrier frequency offset (CFO) is a crucial task for orthogonal frequency-division multiplexing (OFDM) systems but should be performed with affordable computational complexity for practicality. In this paper, the authors derive two new estimation algorithms (one for the integer part and the other for the fractional part of CFO), each of which utilizes only one OFDM block with null subcarriers but offers improved accuracy and reduced complexity. The proposed estimator for fractional CFOs operates iteratively and is insensitive to the initial CFO. The other proposed estimator for integer CFOs employs a pseudonoise binary random sequence to assist in subcarrier arrangement and accurate estimation of the integer CFO. To demonstrate the efficiency of the proposed methods, numerical results are provided from computer simulation and analysis, and comparisons are made with other existing methods in the literature.     

协作OFDM系统中改进的载波频偏估计算法

协作OFDM系统中,由于OFDM技术的引入,使协作通信系统对载波频率偏移非常敏感,很小的频偏就会引起子载波间的干扰.提出了协作OFDM系统中基于前导符号改进的载波频偏估计算法,设计了一种用PN序列调制指数序列得到的前导符号.仿真结果表明,该算法对协作OFDM系统的载波频偏估计性能明显优于传统算法.     

Maximum-Likelihood Estimator for Coarse Carrier Frequency Offset Estimation in OFDM Systems

Orthogonal frequency division multiplexing (OFDM) systems are more sensitive to carrier frequency offset (CFO) compared to the conventional single carrier systems. CFO destroys the orthogonality among subcarriers, resulting in inter-carrier interference (ICI) and degrading system performance. To mitigate the effect of the CFO, it has to be estimated and compensated before the demodulation. The CFO can be divided into an integer part and a fractional part. In this paper, we investigate a maximum-likelihood estimator (MLE) for estimating the integer part of the CFO in OFDM systems, which requires only one OFDM block as the pilot symbols. To reduce the computational complexity of the MLE and improve the bandwidth efficiency, a suboptimum estimator (Sub MLE) is studied. Based on the hypothesis testing method, a threshold Sub MLE (T-Sub MLE) is proposed to further reduce the computational complexity. The performance analysis of the proposed T-Sub MLE is obtained and the analytical results match the simulation results well. Numerical results show that the proposed estimators are effective and reliable in both additive white Gaussian noise (AWGN) and frequency-selective fading channels in OFDM systems.

一种新的OFDM系统载波频率偏移估计和跟踪方案

针对载波偏移使OFDM系统出现严重的子载波干扰和性能的下降,该文提出一种OFDM频偏估计和跟踪方案,载频捕获阶段频偏估计采用时域内插入等值导频的方法,载频跟踪阶段不需要导频,而是利用循环前缀来估计频率偏移并进行校正。仿真结果证实,该方案中导频辅助的频率偏移估计和载频跟踪不仅估计范围大,而且估计值准确,频偏校正后系统的性能能达到信道理想估计条件下的误比特率。     

一种有效的OFDM载波频率偏移的盲估计

导出了具有循环前缀（CP）和虚子载波的正交频分复用（OFDM）通信系统信号的薮学模型。提出了基于PM—ESPRIT算法的0FDM系统载波频率偏移（CFO）偏移不变性的估计算法。经过粗略估计,该算法可以同时获得频率偏移和包含信道信息的矩阵,它们均有利于接收信号的偏移补偿和解调。仿真结果说明了该方法是有效的。     

OFDM系统上行链路的一种载波偏差估计算法

通过分析OFDM信号的特点,该文给出了OFDM系统上行链路的一种基于高倍钟采样的载波偏差估计算法.与采用循环前缀的载波偏差估计算法相比,该算法实现复杂度低,算法精度高,受用户子载波数目影响较小,适宜于多用户OFDM系统.计箅机仿真表明该算法具有优良的性能,优于采用循环前缀的载波偏差估计算法.     

一种基于二倍钟采样的OFDM载波偏差估计算法

本文从OFDM信号的二倍钟采样出发,给出了一种载波偏差估计算法,该算法直接利用时域信号的采样来估计载波偏差,克服了频域实现算法受载波偏差影响大的缺点,使得算法在不同的载波偏移下具有相同的估计精度,载波偏差估计范围大,同时该算法充分利用信号的有效能量,估计精度高,优于采用循环前缀的算法;论文同时给出了算法性能的理论分析和计算机仿真结果.     

一种OFDM剩余载波频偏估计算法的FPGA实现

分析了正交频分复用(OFDM)系统中剩余载波频偏在FFT之后对解调数据的影响,利用OFDM符号中插入的离散导频符号,对剩余频偏进行估计。在对算法进行仿真分析的基础上,提出了算法的现场可编程门阵列(FPGA)实现方案。整个设计过程在QuartusⅡ平台下进行,包括VHDL语言编程、逻辑综合和时序仿真,结果和理论分析相一致,可以用来对剩余频率偏差进行有效的纠正。     

The Large Sample Performance of a Maximum Likelihood Method for OFDM Carrier Frequency Offset Estimation

This paper is concerned with the performance analysis of a blind method for carrier frequency offset (CFO) estimation in OFDM systems. The method generates a maximum likelihood CFO estimate when message-carrying symbols and channel are assumed nonrandom. It has been observed in simulation that, when a large number of OFDM blocks are in use under noisy scenarios, the performance of the method does not achieve the corresponding Cramer-Rao lower bound (CRB) and is lower bounded by another (larger) CRB when symbols are assumed random. This phenomenon is caused by the inconsistency of nonrandom symbol estimates and is further verified by using first-order perturbation analysis and comparison with the two CRBs.     

Joint Carrier Frequency Offset and Channel Estimation for Amplify-and-Forward Cooperative OFDM System

In this paper, we develop a new joint carrier frequency offset (CFO) and channel estimation algorithm for Amplify-and-Forward (AF) cooperative (CO)-OFDM systems. An expanded Basis Expansion Model (E-BEM) is proposed for time variant multipath channels. Based on the E-BEM, a joint OFDM channel estimation and synchronization method is derived. We also apply the space-frequency-block-code (SFBC) to AF CO-OFDM systems. Simulation results reveal that the proposed joint algorithm works well, leading to considerable gains of overall performance.     

Iterative Carrier Frequency Offset and Channel Estimation for Underwater Acoustic OFDM Systems

This paper presents a practical low-density paritycheck (LDPC) coded OFDM system designed for the underwater acoustic channel with its attendant sparse multipath channel and Doppler effects. The carrier frequency offset (CFO) and channel state information (CSI) are assumed unavailable to both to the transmitter and the receiver. Several different receiver structures are considered, all of which perform CFO/channel estimation, detection and decoding in an iterative manner. The convergence behavior of the iterative receivers and their asymptotic performance are evaluated using the extrinsic information transfer (EXIT) chart method. OFDM receiver performance is further evaluated through simulations and field tests in shallow water.     

基于可变遗忘因子RLS在OFDM系统的载波频偏估计

在时变信道下正交频分复用（OFDM）系统中,通过导频辅助,提出基于可变遗忘因子RLS（VFF-RLS）的载波频偏（CFO）估计改进算法。针对传统RLS（CFF-RLS）算法中遗忘因子无法同时满足CFO估计收敛速度和收敛精度的缺陷,本文设计了线性变化遗忘因子(LFF)和非线性变化遗忘因子(NLFF) 两种可变遗忘因子方案来提升CFO估计性能。仿真结果显示：在低信噪比的情形下,基于VFF-RLS算法的CFO估计性能明显优于基于CFF-RLS算法的CFO估计性能。     

Novel Blind Carrier Frequency Offset Estimation Algorithm for OFDM System Via Generalized Precoding

In this letter, we develop a blind carrier frequency offset (CFO) algorithm for orthogonal frequency division multiplexing (OFDM) systems by utilizing a generalized precoding. Generalized precoding is employed to obtain multiple covariance matrices, and then a CFO estimation algorithm for OFDM system using joint diagonalization is proposed. Comparing to estimation of signal parameters via rotational invariance techniques (ESPRIT) method, the algorithm that we presented has improved CFO estimation performance. Furthermore, our algorithm even works well without virtual carrier. Simulation results illustrate performance of this algorithm.     

Blind Integer Carrier Frequency Offset Estimation for OFDM Systems with Constant Modulus Signaling

This paper presents a blind integer carrier frequency offset (IFO) estimator for the constant modulus (CM) signaling based OFDM systems. The key idea behind this method is a power reallocation technique which modifies the power of data in some predefined subcarriers over two consecutive OFDM symbols, thus the IFO can be estimated in the receiver via analyzing the distribution of these subcarriers. Instead of the exhaustive search, a low-complexity algorithm is proposed. The selection criterions of these predefined subcarriers are carefully designed and more than two OFDM symbols are employed to improve the robustness of this method to the multipath effect. Furthermore, this method can be applicable in multiple-input multiple-output (MIMO) OFDM systems with the orthogonal space-time block coding (OSTBC).     

A Numerical Technique for Blind Estimation of Carrier Frequency Offset in OFDM Systems

This paper proposes a numerical technique based on the Newton-Raphson method for blind maximum-likelihood estimation of carrier frequency offset in orthogonal frequency-division multiplexing systems. The proposed technique is characterized by low complexity and fast convergence while maintaining the estimation accuracy