SNR Analysis of OFDM Systems in the Presence of Carrier Frequency Offset for Fading Channels

This letter analyzes the effect of the carrier frequency offset on orthogonal frequency division multiplexing (OFDM) systems for multipath fading channels. A simple approximate expression for the average signal-to-noise ratio (SNR) is derived. This approximate expression is shown to be an upper bound of the average SNR for flat fading channels and an exact expression for the AWGN channel. The approximate average SNR expression is validated using Monte Carlo simulation for both flat fading channels and frequency-selective fading channels     

Iterative ML-based estimation of carrier frequency offset, channel impulse response and data in OFDM transmissions

This paper provides an approximate closed form solution to the problem of data-aided joint maximum likelihood estimation of the carrier frequency offset and of the channel impulse response in an Orthogonal Frequency Division Multiplexing transmission over a multipath fading channel. This results in a novel pilot-aided feedforward estimator, that can be employed for pilot-based receiver training. It is also shown how the novel joint estimation strategy can be exploited in an iterative (turbo) receiver structure to track the fast channel and frequency offset changes occurring during the transmission of information symbols. The performance of this structure is assessed by computer simulations and is compared with that provided by other estimation/detection strategies.     

MU-MIMO-OFDM上行中基于部分频偏预补偿的频偏同步

在MU-MIMO-OFDM上行链路中,载波频偏的估计和补偿均需要信道信息,而利用频域导频信号估计频偏和信道会受到子载波间干扰ICI)的影响.本文提出了一种部分频偏预补偿机制,可以使得快速傅里叶变换(FFT)之后接收信号中的ICI功率最小,从而在不改变频偏和信道估计算法的前提下提高估计精确度.为了求解预补偿频率,文中首先对信号中的ICI建模,接着通过最优化问题明确ICI功率与预补偿频率间的关系,最后得到了近似最优解的闭合表达式.通过仿真验证,使用了部分频偏预补偿机制之后,频偏与信道估计的误差将明显降低.     

OFDM Carrier Synchronization Based on Time-Domain Channel Estimates

Carrier frequency synchronization is critical to the quality of signal reception in OFDM systems. This paper presents an approximate maximum-likelihood (ML) carrier frequency offset (CFO) estimation scheme based on time-domain channel estimates which retain the CFO information in the form of phase rotation. The proposed ML CFO estimate is investigated under static as well as time-varying fading channels. Statistical properties of the estimator are examined and Cramer-Rao lower bound (CRLB) is derived. Theoretical analysis and numerical simulations show that the proposed CFO estimator renders excellent performance with lower computational complexity. The proposed CFO estimate also has an advantage of allowing for more flexible pilot patterns     

BER performance of OFDM system over frequency nonselective fastRicean fading channels

The fast changing frequency nonselective Ricean fading channel introduces a complicated multiple distortion and an extra additive noise component for an OFDM system. The multiple distortion is the average of the sum of N(N⩾3) correlated Ricean random variables. We propose an approximate technique for calculating the probability density function (PDF) of the multiple distortion under the assumption that the channel response changes in a linear fashion during one OFDM symbol. As a result, the bit error rate (BER) formula of a BPSK modulated OFDM system is derived. The results obtained using the derived formula describe well the OFDM performance under the time variant channel and match very well with the simulation results     

数字并行接收机在时变信道下的信道估计与均衡方法

为了适应高速宽带无线通信的需要,本文在一种高速数字并行接收机(APRX)结构的基础上,提出了一种时变信道下的信道估计和均衡方法。使用伪随机(pseudo-randomnumber,PN)序列相关进行信道估计,将所得到的信道频率响应粗估计按照一个DFT块的长度在一帧内进行线性内插得到信道频率响应细估计,将其用来在频域进行信道均衡。这种结构能适应高速率传输的要求,并且能有效地对抗时间和频率选择性衰落。仿真结果表明,在多径衰落信道下,APRX已经无法工作,而本文提出的数字并行接收机的信道估计和均衡方法有较好的性能,并且该方法实现简单,便于应用。     

Approximation of SNR degradation due to carrier frequency offset for OFDM in shadowed multipath channels

We derive an approximate expression for signal-to-noise ratio (SNR) degradation of orthogonal frequency division multiplexing due to carrier frequency offset over a shadowed multipath channel, to explicitly show the effects of system and channel parameters on the degradation of the received SNR. The results show that, for small frequency offset, the SNR degradation is proportional to the square of the frequency offset and the square of the number of subcarriers. It is also shown that, if E/sub s//N/sub 0/ is reasonably large, the SNR degradation becomes insensitive to E/sub s//N/sub 0/, which is contrary to the case of the additive white Gaussian noise channel.     

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.     

Orthogonal time-frequency signaling over doubly dispersive channels

This paper develops a general framework for communication over doubly dispersive fading channels via an orthogonal short-time Fourier (STF) basis. The STF basis is generated from a prototype pulse via time-frequency shifts. In general, the orthogonality between basis functions is destroyed at the receiver due to channel dispersion. The starting point of this work is a pulse scale adaptation rule first proposed by Kozek to minimize the interference between the basis functions. We show that the average signal-to-interference-and-noise (SINR) ratio associated with different basis functions is identical and is maximized by the scale adaptation rule. The results in this paper highlight the critical impact of the channel spread factor, the product of multipath and Doppler spreads, on system performance. Smaller spread factors result in lesser interference such that a scale-adapted STF basis serves as an approximate eigenbasis for the channel. A highly effective iterative interference cancellation technique is proposed for mitigating the residual interference for larger spread factors. The approximate eigendecomposition leads to an intuitively appealing block-fading interpretation of the channel in terms of time-frequency coherence subspaces: the channel is highly correlated within each coherence subspace whereas it is approximately independent across different subspaces. The block-fading model also yields an approximate expression for the coherent channel capacity in terms of parallel flat-fading channels. The deviation of the capacity of doubly dispersive channels from that of flat-fading channels is quantified by studying the moments of the channel eigenvalue distribution. In particular, the difference between the moments of doubly dispersive and flat-fading channels is proportional to channel spread factor. The results in this paper indicate that the proposed STF signaling framework is applicable for spread factors as large as 0.01.     

OFDM叠加导频联合信道估计和检测方法

针对现有正交频分复用(Orthogonal Frequency Division Multiplexing, OFDM)系统信道估计和迭代检测算法中频谱效率低和鲁棒性差等问题,提出了一种基于酉近似消息传递和叠加导频的信道估计与联合检测方法。首先,在软调制/解调中叠加导频对正交幅度调制的星座点进行预处理,检测时将叠加的导频作为频域符号的先验分布,利用置信传播算法进行调制和解调,实现检测模型的简化。然后,应用因子图-消息传递算法对OFDM传输系统和信道进行建模和全局优化,引入酉变换加强信道估计算法的鲁棒性。最后,建立OFDM仿真环境对现有方法进行仿真分析。仿真结果表明,相对于现有的独立导频类算法,所提算法能够以相同复杂度显著提升OFDM系统的频谱效率和鲁棒性。     

利用ICI自消除改善OFDM系统时变信道估计与均衡的性能

正交频分复用(OFDM)系统受到时变信道的影响,产生载波间干扰(ICI),导致系统性能严重下降。消除ICI最有效的方法是频域均衡,但这需要准确的信道估计。基扩展模型(BEM)能够准确逼近时变信道,从而将对信道的估计转化为对少量模型参数的估计。然而,在使用导频符号对参数进行估计时,来自相邻非导频符号的ICI干扰,却严重影响了估计的准确性。为此,通过分析子载波所产生的ICI系数的变化特性,该文提出采用ICI自消除方法来减小参数估计中所存在的ICI项,以提高估计的准确性,从而改善时变信道估计与均衡的性能。仿真结果验证了该方法的有效性,相比单纯基于BEM的信道估计方法,能够得到更准确的时变信道,以及更好的ICI消除效果。     

Joint Frequency Offset and Channel Estimation for OFDM Systems Using Pilot Symbols and Virtual Carriers

We consider joint estimation of carrier frequency offset and channel impulse response (CIR) for orthogonal frequency division multiplexing (OFDM) systems with pilot symbols and virtual subcarriers (VCs). We derive the receive-signal correlation structure due to the pilots and VCs, give the evidence of joint multivariate Gaussian distribution of the received samples, and derive an approximate maximum likelihood (ML) frequency offset estimator. We also derive the asymptotic mean-square error (MSE) and an approximate Cramer-Rao bound (CRB) and establish the asymptotic unbiasedness. Without pilots, in high signal-to-noise ratio, our estimator is equivalent to Liu and Tureli's estimator with N_v virtual carriers. When the pilot number (Np) is greater than the channel length L, our estimator acts as a subspace-based estimator with N_v + N_p - L virtual carriers. A decision-directed joint ML estimator is derived to iteratively update the estimates of frequency offset, data symbols and CIR. The optimal pilot and virtual carrier placement strategies are also discussed. The resulting decision-directed joint estimator performs within 0.8 dB of the ideal case even when the frequency offset is as large as 20%     

Linear LLR approximation for iterative decoding on wireless channels

On a fading channel with no channel state information at the receiver, true log-likelihood ratios (LLR) are complicated functions of the channel output. It is assumed in the literature that the power of the additive noise is known and the expected value of the fading gain is used in a linear function of the channel output to find approximate LLRs. This approach, however, is not optimal in the sense of bit error rate performance. In this paper, we introduce a measure of accuracy for the approximate LLRs based on their probability density function and we show that this measure provides a very convenient tool for finding good approximate LLRs. Assuming that the power of the additive noise is known, and using the proposed measure, we find a linear LLR approximation whose performance is extremely close to that of the true LLR calculation on an uncorrelated Rayleigh fading channel. These results are then extended to the case that the noise power is also unknown and a performance almost identical to the previous case is obtained.     

Maximum-likelihood frequency recovery for OFDM signals transmitted over multipath fading channels

In this paper, a novel feedback frequency synchronizer for orthogonal frequency-division multiplexing signals transmitted over multipath fading channels is described. Its derivation is based on maximum-likelihood estimation techniques and assumes an approximate statistical knowledge of the communication channel. The performance of the proposed algorithm is assessed by computer simulation, and is compared with that provided by other synchronization algorithms and with Cramer-Rao bounds.     

基于快速贝叶斯匹配追踪的激光大气信道估计

信道估计是指接收机获知信道状态信息的方法和过程。信道估计的准确度决定了接收机的工作性能,所以均衡之前,必须先进行信道估计。目前,激光光学传输信道估计成为多输入多输出正交频分复用的自由空间光通信系统的关键技术。传统的压缩感知方法作为一种信道估计的有效方法,具有恢复和重构原始信号的能力,但在计算复杂度上付出了一定的代价。快速贝叶斯匹配追踪算法克服了现有方法重构精度低和复杂度高缺点。通过先验模型选择和近似的最小均方误差的参数向量的估计,快速贝叶斯匹配追踪算法提供了估计信道冲激响应的一种有效方式。仿真结果表明,与传统的基于压缩感知的方法相比,该方法能显著提高系统的性能。     

On Designing Good LDPC Codes for Markov Channels

This paper presents a reduced-complexity approximate density evolution (DE) scheme for low-density parity-check (LDPC) codes in channels with memory in the form of a hidden Markov chain. This approximation is used to design degree sequences representing some of the best known LDPC code ensembles for the Gilbert-Elliott channel, and example optimizations are also given for other Markov channels. The problem of approximating the channel estimation is addressed by obtaining a specially constructed message-passing schedule in which the channel messages all approach their stable densities. It is shown that this new schedule is much easier to approximate than the standard schedule, but has the same ultimate performance in the limits of long block length and many decoding iterations. This result is extended to show that all message-passing schedules that satisfy mild conditions will have the same threshold under density evolution     

Multisite throughput of a mobile data radio link

In a single-site system, the uplink channel (from the mobile units to the site) has a throughput of 0.184 if pure ALOHA transmission protocol is used. The downlink channel throughput (from the site to the mobile units) for a single-site system is one because the transmissions are scheduled and no conflict occurs. To widen the service area and to increase system throughput for the single-site system without using additional frequency channels, multiple transmitter/receiver sites can be used. Throughput in both directions (uplink and downlink) and optimal site assignment in the downlink channel are calculated using an iterative method. Formulas are derived for two- and three-site systems. For systems with more than three sites, the three-site formulas can be used in an approximate method. Results produced by this method are within 1 or 2% of those generated by software simulations. For simplicity, FM capture is assumed to depend on the received signal level difference between the two strongest signals. Calculations are given assuming the message error rates are known     

OFDM系统的联合收发机设计

Orthogonal Frequency Division Multiplexing (OFDM) is an effective technique to deal with a frequency selective channel since it can convert the channel into some flat fading subchannels. However, very different output SNR values of the sub-channels will lead to poor bit error performance when a linear equalizer and Equal Bit Allocation (EBA) are adopted in OFDM systems. So, we proposed three novel nonlinear Joint Transceiver (JT) schemes based on Zero-Forcing (ZF) criterion and Minimum Mean Square Error (MMSE) criterion respectively, which can transform all subchannels of an OFDM system into subchannels with identical channel gain. Thus, EBA is equivalent to the Optimum Bit Allocation (OBA) for these subchannels. Numerical analysis helps us to obtain the theoretical approximate BER values of the JT scheme. Simulation results verify the numerical analysis and confirm that the performance of our proposed JT scheme greatly outperforms the traditional linear equalizer with EBA at moderate and high SNR values.     

Optimal and Approximate Mobility-Assisted Opportunistic Scheduling in Cellular Networks

This paper considers the problem of scheduling multiple users in the downlink of a time-slotted cellular data network. For such a network, opportunistic scheduling algorithms improve system performance by exploiting time variations of the radio channel. We present novel optimal and approximate opportunistic scheduling algorithms that combine channel fluctuation and user mobility information in their decision rules. The algorithms modify the opportunistic scheduling framework of Liu et al., (1993) with dynamic constraints for fairness. These fairness constraints adapt according to the user mobility. The adaptation of constraints in the proposed algorithms implicitly results in giving priority to the users that are in the most favorable locations. The optimal algorithm is an offline algorithm that precomputes constraint values according to a known mobility model. The approximate algorithm is an online algorithm that relies on the future prediction of the user mobility locations in time. We show that the use of mobility information in opportunistic scheduling increases channel capacity. We also provide analytical bounds on the performance of the approximate algorithm using the fundamental inequality of Dyer et al., (1986) for linear programs. Simulation results on high data rate (HDR) illustrate the usefulness of the proposed schemes for elastic traffic and macrocell structures     

On the performance analysis of dynamic channel allocation with FIFO handover queuing in LEO-MSS

The exact analysis of dynamic channel allocation (DCA) with first-in/first-out (FIFO) queuing of handover (QH) requests is highly complex, due to the dynamic nature of channel allocation to different cells. This letter presents an approximate but accurate analytical method to evaluate the performance of DCA in conjunction with FIFO-QH in low earth orbit mobile satellite systems. The accuracy of the proposed analysis has been verified by means of computer simulation.