A Data-Aided Symbol Timing and Frequency Offset Estimation Algorithm for OFDM Systems

In this paper the problem of data-aided symbol timing and frequency offset estimation in OFDM systems is considered. A synchronization scheme based on a pilot symbol containing two identical parts obtained by transmitting BPSK data symbols on the even subcarriers and setting zero on the remaining subcarriers is proposed. In this case, if the number of subcarriers is sufficiently large, the pilot symbol can be modeled as a noncircular (NC) complex Gaussian random vector (CGRV). By exploiting the joint probability density function of NC-CGRVs, the joint maximum likelihood estimator for the parameters of interest is derived. Since its implementation complexity is high, a simpler synchronization scheme is obtained. Moreover, refined symbol timing and frequency offset estimators, that assure relevant performance in multipath channels, are proposed. T. Fusco was born in Naples, Italy, on March 22, 1977. She received the Dr. Eng. degree (summa cum laude) in electronic engineering from the Second University of Napoli in 2002. Since November 2002 she has been a Ph.D. student at the Department of Electronic and Telecommunication Engineering of the University of Napoli Federico II. Her current research and study interests lie in the area of statistical signal processing, with emphasis on parameter estimation problems in the context of OFDM communications. M. Tanda was born in Aversa, Italy, on July 15, 1963. He received the Dr. Eng. degree (summa cum laude) in electronic engineering in 1987 and the Ph.D. degree in electronic and computer engineering in 1992, both from the University of Napoli Federico II. Since 1995, he has been an Appointed Professor of Signal Theory an the University of Napoli Fe-de-ri-co II. Moreover, he has been an Appointed Professor of Electrical Communications (from 1996 until 1997) and Telecommunication Systems (from 1997) at the Second University of Napoli. He is currently Associate Professor of Signal Theory at the University of Napoli Federico II. His research activity is in the area of signal detection and estimation, multicarrier, and multiple access communication systems.     

OFDM分数倍频偏与码元定时的联合估计

Smidle和Cox（SC）算法是OFDM系统中频偏和码元定时估计的经典算法。基于SC的导频设置,利用最大似然（ML）准则,提出一种分数倍频偏（FFO）和码元定时联合估计算法,通过计算机仿真比较可以看出,文中提出的联合估计算法的FFO估计性能与SC算法相同,而码元定时估计方法的性能明显优于SC算法。     

OFDM系统中一种高效的符号定时估计算法

本文提出了一种新的适合于OFDM系统的符号定时估计算法。该算法利用经过特殊处理的前后两段信息序列的内在相关性进行准确的符号定时估计。理论分析和仿真表明,该算法能在大频偏低信噪比的条件下完成定时捕获的任务,并且无需专门的训练符号,从而大大提高了系统传输的效率。     

大频偏低信噪比条件下OFDM系统中的符号定时估计

符号定时估计是OFDM系统中的关键问题之一,该文就此问题提出了一种新的基于训练符号的定时估计算法。研究表明,新算法的性能基本不受载波频偏的影响,且具有很强的抗噪特性。通过采用这种算法可将定时误差缩小到只有抽样时间间隔的一半。并且,还可利用这个频域训练符号来进行载波频偏的估计,从而只需一个训练符号就能完成符号定时和载波频偏的联合捕获。     

On Timing Offset Estimation of OFDM

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OFDM系统中的同步偏移估计技术

在分析无线信道环境对OFDM系统影响的基础上,对目前该学术领域提出的多种同步算法进行了分析比较,探讨了数据辅助性估计的OFDM系统的同步过程,该过程包括符号同步、载波同步和采样率同步。该算法在时域上引入了一种更有效的导频方案,在此前提下,利用该PN序列的共轭对称性完成符号定时,然后通过一种基于PN的重复数据最大似然估计理论算法完成频偏估计。仿真结果证明,这种同步体制具有较好的同步精度。     

Effect and Compensation of Symbol Timing Offset in OFDM Systems With Channel Interpolation

Symbol timing offset (STO) can result in intersymbol interference (ISI) and a rotated phase which value is proportional to the subcarrier index at the FFT output in an OFDM receiver. In order to avoid ISI, the FFT window start position has to be put in advance of the estimated point obtained by coarse STO estimation algorithms. But a large number of forward-shift samples will deteriorate the estimation of data subcarrier channels requiring interpolation from pilot subcarrier channels due to the phase rotation caused by a residual STO. In this paper we analyze the influence of STO on channel interpolation and propose a new compensation method for channel correction with STO. From the performance analysis of simulation results in the DVB-T application, the new algorithm not only has a better performance but also is attractive in using a simple residual STO estimation method such that few pilots are required for fine STO estimation compared to conventional approaches.      

一种LOFDM系统定时和频偏的盲估计算法

基于网格正交频分复用(LOFDM)信号的周期平稳性,该文提出一种LOFDM系统定时和载波频率偏差的盲估计算法。理论分析和仿真实验证实由该算法构造的估计器能够有效地对抗频率选择性慢时变信道引起的衰落;在信道噪声广义平稳的情况下,估计器性能与信噪比无关,于是估计器在低信噪比条件下也能很好地工作;另外,符号定时和频率偏差估计器的性能互不影响。     

A Novel OFDM Timing Offset Estimation Algorithm

1　Introduction　OrthogonalFrequencyDivisionMultiplexing(OFDM )isamethodsuitableforhigh ratedatatransmissioninwirelesscommunications .However,thereareseverallimitingfactorsinthecommercialapplicationofOFDMforapplyingtohigh ratemo bilecommunication ,suchasDopplerfrequencyshift,synchronization ,channelestimation ,peak to averagepowerratio .　Schmidl[1 ] completedsynchronizationusingspecialPNsequence,buttheestimateisnot precise.Minn[2～ 3] andByungjoon[4] improvethealgorithmperformance,butth…     

一种改进的OFDM系统符号定时同步算法

文章在研究Schmidl＆Cox同步算法的基础上,提出了一种改进的符号定时同步算法。改进后的算法通过对原算法训练符号的加权,消除了定时同步中的峰值平台问题。仿真结果显示,该算法的定时同步性能优于原算法。     

一种用于OFDM符号定时跟踪的盲估计算法

利用具有循环前缀和循环后缀的OFDM帧结构,该文提出了一种新的符号定时跟踪盲估计算法。理论分析及仿真表明,无论在AWGN还是多径衰落信道条件下,该定时算法估计的均方差都小于ML算法。     

Frequency and Timing Offset Estimation Using Single Reference Symbol

In this paper we will investigate the performance of an estimator employing single OFDM reference symbol for timing and frequency offset estimation. We will show how both coarse and fine frequency offset estimation can be performed with this single OFDM reference symbol. The performance of this estimator will be compared with the ML estimator employing OFDM reference symbols of different length for coarse and fine frequency offset estimation. It will be shown that, unlike ML estimator, the estimation range of the analyzed estimator is not constrained.     

A Low‐Complexity 128‐Point Mixed‐Radix FFT Processor for MB‐OFDM UWB Systems

In this paper, we present a fast Fourier transform (FFT) processor with four parallel data paths for multiband orthogonal frequency‐division multiplexing ultra‐wideband systems. The proposed 128‐point FFT processor employs both a modified radix‐2⁴ algorithm and a radix‐2³ algorithm to significantly reduce the numbers of complex constant multipliers and complex booth multipliers. It also employs substructure‐sharing multiplication units instead of constant multipliers to efficiently conduct multiplication operations with only addition and shift operations. The proposed FFT processor is implemented and tested using 0.18 µm CMOS technology with a supply voltage of 1.8 V. The hardware‐ efficient 128‐point FFT processor with four data streams can support a data processing rate of up to 1 Gsample/s while consuming 112 mW. The implementation results show that the proposed 128‐point mixed‐radix FFT architecture significantly reduces the hardware cost and power consumption in comparison to existing 128‐point FFT architectures.     

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.     

Timing and Carrier Frequency Offset Estimation Using Selective Extended Cyclic Prefix for Correlation Sequence for OFDM Systems

In this paper a novel technique for timing and carrier frequency offset (CFO) estimation for orthogonal frequency division multiplexing (OFDM) systems is presented. This technique is a modification of extended cyclic prefix for correlation sequence (ECPCS) based technique, called as selective extended cyclic prefix for correlation sequence (SECPCS) based technique. In cyclic prefix (CP) based technique, magnitude of timing metric near the exact starting point of CP is quite similar which causes problem in timing estimation. SECPCS is utilized in order to increase the difference between magnitudes of timing metric at the exact starting point of time of CP and its adjacent timing instants. In SECPCS technique, first of all correlation length of CP is extended using available CP samples and then those sequences which enlarge the difference in the magnitude of timing metric is selected. In the proposed technique the difference between magnitude of timing metric at exact starting point and its adjacent timing instants is significantly large compared to the previous techniques. The performance of different techniques is evaluated in terms of mean square error (MSE) in estimation of timing and CFO estimate. Further signal-to-interference-plus-noise ratio (SINR) loss of different techniques in different channel conditions is also estimated. From the simulation results it is observed that under different channel conditions, performance of the proposed SECPCS based technique is significantly better than previous techniques.     

Interaction between Symbol Timing Offset and Channel Interpolation in OFDM Systems: BER Analysis and Performance Degradation

In orthogonal frequency division multiplexing (OFDM) systems, since the cyclic prefix (CP) is designed to be longer than the channel impulse response, there exists a certain range within the CP where symbol timing synchronization can be accomplished avoiding adjacent inter symbol interference. However, the appearance of a linear phase term across subcarriers in the frequency-domain due to symbol timing offset (STO) is known to affect the performance of channel interpolation. In this paper, we analyze the performance degradation due to the interaction between STO and channel interpolation in OFDM systems affected by multipath Rayleigh fading. Particularly, simple closed-form expressions for the bit error rate (BER) are obtained for different quadrature amplitude modulation constellations. Results show that there exists an irreducible BER floor due to STO and channel interpolation, which depends on the STO, the subcarrier index, the pilot spacing and the correlation between pilot subcarriers.     

OFDMA系统上行链路的符号定时估计

在多径信道中,任何符号定时的变化,都会增加OFDMA系统对时延扩展的敏感程度,为了获得最佳的系统性能,需要尽量减小符号定时同步的误差.已有的符号定时估计算法多是基于特定训练序列的,其优点是实现简单且较为准确,但需要占用额外的频谱资源,且时间偏移量需小于循环前缀的长度.文中提出的基于子载波相位差分的符号定时估计算法是一种盲估计算法,不需要额外发送训练序列,节省了资源,且对时间偏移量大于循环前缀的情况同样适用.     

一种基于短时傅里叶变换的OFDM时间同步方法

该文提出了一种基于短时傅里叶变换的OFDM符号同步方法。该方法通过短时傅里叶变换得到OFDM信号的二维幅度谱,并提取其中的周期平稳时频结构信息,估计出OFDM符号的无ISI时间区间,并选取该区间的最佳位置作为OFDM符号起始位置估计。仿真结果表明:该方法相对于常规的时间相关算法能有效地对抗低信噪比环境。     

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…     

ML‐Based Estimation Algorithm of Frequency Offset for 2×2 STBC‐OFDM Systems

In this letter, we propose a novel frequency offset estimation algorithm for space‐time block code (STBC) orthogonal frequency division multiplexing systems. The algorithm mainly exploits the specific construction of STBC so that it does not need any additional pilots or sequences in the data field. The estimator is derived on the basis of the maximum likelihood theory. Simulation results show that this method can provide a significant performance improvement in terms of the estimation accuracy of the frequency offset.