OFDM系统中基于压缩感知恢复由限幅和HPA产生的非线性失真研究

正交频分复用（Orthogonal Frequency Division Multiplexing,OFDM）系统的主要缺点之一就是有较高的峰均功率比（Peak to Average Power Ratio,PAPR）,降低了功率放大器（High Power Amplifier,HPA）的工作效率,同时HPA引入的非线性失真,恶化了系统的误比特率（Bite Error Rate,BER）性能.本文所提算法将限幅和HPA引入的非线性失真视为一个整体来考虑,利用与限幅噪声在时域上的近似稀疏性,对整个非线性过程进行建模.发送端通过限幅降低了OFDM信号的PAPR,在接收端,选取受噪声干扰小的可靠性观测向量,最小化信道噪声的影响,基于非线性模型计算得到的参数,利用压缩感知（Compressive Sensing,CS）算法能有效地恢复总的非线性失真信号,提升了系统的BER性能.     

OFDM系统中基于限幅和压缩感知的非线性失真补偿算法

正交频分复用（Orthogonal Frequency Division Multiplexing,OFDM）信号具有较高的峰均功率比（Peak to Average Power Ratio,PAPR）,不仅影响功率放大器（High Power Amplifier,HPA）的工作效率,而且HPA使得OFDM信号产生严重的非线性失真,导致系统的误比特率（Bite Error Rate,BER）增大.本文基于限幅和压缩感知（Compressive Sensing,CS）提出了改进的补偿算法,发送端采用限幅降低信号的PAPR,接收端首先采用改进的逆模型方式减小HPA引入的非线性失真,再采用CS抵消由限幅引入的信号失真.仿真表明,所提方法不仅明显降低了OFDM信号的PAPR,而且有效提高了系统的BER性能.     

Performance analysis of deliberately clipped OFDM signals

We analyze the performance of the clipped orthogonal frequency division multiplexing (OFDM) system in terms of peak power reduction capability and degradation of channel capacity. The clipping is performed on the baseband OFDM signals with and without oversampling, followed by the ideal low-pass filter. First, the effect of the envelope clipping on the peak-to-average power ratio (PAPR) and the instantaneous power of the band-limited OFDM signal is studied. We then discuss the channel capacity of the oversampled and clipped OFDM signals over the additive white Gaussian noise and ideally interleaved Rayleigh fading channels. The capacity is calculated based on the assumption that the distortion terms caused by the clipping are Gaussian. It is shown that the SNR penalty due to the clipping can be considerably alleviated by using optimal coding and reducing the information data rate. The results are justified by the simulation results using near optimal turbo codes     

限幅OFDM系统中的判决辅助信道估计

在正交频分复用(OFDM)系统中，对基带时域信号限幅是通常采用的一种降低信号峰均比的方法，但是由限幅产生的非线性干扰使系统的信道估计和信号检测性能降低。本文针对OFDM系统的频域插值信道估计方案，分析了限幅对信道估计性能的影响，提出一种利用判决的信号辅助信道估计的方法，并分析了该方法为信道估计所能提供的最大信干比增益。理论分析和仿真结果表明这种方法能够提高信道估计的精度，从而提高信号检测的性能，降低接收机的误符号率。     

Effects of clipping and filtering on the performance of OFDM

Orthogonal frequency division multiplexing (OFDM) is an attractive technique for wireless communication applications. However, an OFDM signal has a large peak-to-mean envelope power ratio, which can result in significant distortion when passed through a nonlinear device, such as a transmitter power amplifier. We investigate, through extensive computer simulations, the effects of clipping and filtering on the performance of OFDM, including the power spectral density, the crest factor, and the bit-error rate. Our results show that clipping and filtering is a promising technique for the transmission of OFDM signals using realistic linear amplifiers     

OFDM系统中基于压缩感知的非线性失真恢复研究

正交频分复用系统(OFDM)的高峰均比(PAPR)问题降低了系统传输效率,增加了解调难度,使高功率放大器(HPA)满负载工作。该文针对削波与HPA引入的非线性失真问题,提出在接收端采取基于泰勒级数的预处理方式对非线性干扰进行处理,最小化信号畸变影响。在发送端通过削波降低信号的PAPR,并利用削波噪声在时域上的稀疏性特性,将传输过程作为整体考虑,最后利用正交匹配追踪算法(OMP)恢复总的非线性失真信号。仿真结果表明,该文所提方法能够有效抑制系统的干扰信号,减少了有用信号受到的非线性影响,验证了该方案的正确性。     

基于信道估计的限幅OFDM信号检测性能分析

大峰均比是正交频分复用(OFDM)系统的主要缺陷之一，对时域OFDM信号限幅是通常采用的一种抑制发送信号峰值功率的方法，但是限幅产生的非线性干扰，使系统的信道估计和信号检测性能降低。本文分析了限幅干扰对信道估计以及基于估计信道信息的OFDM数据信号检测性能的影响，推导出了基于信道估计信号检测的信噪比与限幅参数之间的关系。利用信噪比和高斯信道的误符号率及误比特率公式，本文对频率选择性瑞利衰落信道环境限幅OFDM系统中信号的误符号率和误比特率进行估算。计算机仿真和估算的结果相吻合。     

OFDM系统中抗非线性失真的迭代信道估计算法

针对OFDM系统中信号限幅滤波造成的信道估计性能下降,提出了一种基于梳状导频的迭代估计算法。该算法迭代估计信号中的非线性噪声,并据此补偿信号的非线性失真,提高信道再估计的性能。推导出了该算法在限幅预畸变系统中所能达到的理论均方误差下限,同时给出了初始信道估计的理论均方误差。仿真表明,该算法克服了由限幅滤波造成的性能瓶颈,且收敛速度快。与文献迭代信道估计算法相比,具有更强的抵抗峰均比抑制的能力。     

Joint Turbo Equalization and Multiuser Detection of MC-CDMA Signals With Low Envelope Fluctuations

In this paper, we consider the uplink transmission in multicarrier code-division multiple-access (MC-CDMA) systems. As other multicarrier signals, MC-CDMA signals have high envelope fluctuations and a high peak-to-mean envelope power ratio (PMEPR), which leads to amplification difficulties. This is particularly important for the uplink transmission, since an efficient low-cost power amplification is desirable at the mobile terminals (MTs). Moreover, the transmission over time-dispersive channels destroys the orthogonality between spreading codes, which might lead to significant multiple-access interference levels. To reduce the envelope fluctuations of the transmitted signals, while maintaining the spectral efficiency, the MC-CDMA signal associated to each MT is submitted to a clipping device, followed by a frequency-domain filtering operation. However, the nonlinear distortion effects can be high when an MC-CDMA transmitter with reduced envelope fluctuations is intended (e.g., a small clipping level and/or when successive clipping and filtering operations are employed). In this paper, we define an iterative receiver that jointly performs a turbo multiuser detection and the estimation and cancellation of the nonlinear distortion effects. Our performance results show that the proposed receiver structure allows good performances, very close to the linear receiver ones, even for high system load and/or when a PMEPR as low as 1.7 dB is intended for each MT.      

非线性失真环境下的天线功率分配算法

本文研究MIMO系统中,考虑功放的非线性限幅作用后,该如何在天线之间分配功率的问题。在这种情况下,采用传统的贪婪算法,信道增益小的天线上分配的功率可能很大,超过功放的线性范围,产生严重的非线性失真。不仅无法提高系统吞吐量,反而会导致吞吐量的恶化。通过对非线性失真环境下的系统吞吐量的分析,提出了一种改进的贪婪算法,综合考虑了无线信道引起的衰落和功放限幅引起的失真等因素,能够更加合理的分配天线功率。仿真结果也表明,新算法在信号功率较大的时候比传统的算法拥有更高的吞吐率。     

Maximum-likelihood detection of nonlinearly distorted multicarrier symbols by iterative decoding

This paper proposes a new method for decoding multicarrier symbols with severe nonlinear distortion. The first part evaluates mutual information expressions for practical nonlinear models and shows the performance bounds for commonly used receiver structures. Then, we derive the maximum-likelihood (ML) sequence estimator, which unfortunately has an exponential complexity due to the nonlinear distortion. This extremely large complexity can be reduced with a simple algorithm that iteratively estimates the nonlinear distortion, thereby reducing the exponential ML to the standard ML without nonlinear distortion. The proposed method can be used to reduce the peak-to-average power ratio of multicarrier signals by clipping the transmit sequence. It can also be used to correct any nonlinear distortion present in transmitter/receiver amplifiers that are operating close to saturation.     

Iterative estimation and cancellation of clipping noise for OFDM signals

Clipping is an efficient and simple method to reduce the peak-to-average power ratio (PAPR) of orthogonal frequency division multiplexing (OFDM) signals. However, clipping causes distortion and out-of-band radiation. In this letter, a novel iterative receiver is proposed to estimate and cancel the distortion caused by clipping noise. The proposed method is applied to clipped and filtered OFDM signals. It is shown by simulation that for an IEEE 802.11a typical scenario the system performance can be restored to within 1 dB of the nonclipped case with only moderate complexity increase and with no bandwidth expansion.     

Turbo-Coded OFDM Transmission Over a Nonlinear Channel

In this paper, deliberate level clipping and turbo coding are combined to achieve an orthogonal frequency division multiplexing (OFDM) transmission system with a low peak-to-average power ratio (PAR) and a good performance. Using the linear approximation technique based on the minimum mean square error (MMSE) criterion, we first modify the metric computation for the turbo decoding in order to consider the distortion effects of the nonlinearity, caused by the Cartesian clipper. Also, this paper introduces a modified turbo decoder which simultaneously performs the data estimation and signal reconstruction. In other words, the turbo decoder iteratively recovers the clipped signal by using the estimated data, and then improves the data estimation by using the newly recovered signal. Numerical results are presented showing an improvement in the performance of the OFDM transmission system over the nonlinear channel, an increase in the efficiency of the high power amplifier (HPA), and/or an expansion of the transmitter coverage area.     

OFDM performance in amplifier nonlinearity

The activities of the current European RACE and ACTS projects have led to an increasing interest in OFDM (orthogonal frequency division multiplexing) as a means of combating impulsive noise and multipath effects and making fuller use of the available bandwidth of the system. This paper analyses the performance of OFDM signals in amplifier nonlinearity. In particular, bit error rate (BER) degradation as a result of amplitude limiting or clipping are analysed. In the presence of both nonlinear distortion and additive Gaussian noise, optimized output power back off is provided to balance the requirements of minimum BER and power amplifier efficiency. For this purpose, an OFDM system has been built using the SPW (Signal Processing Worksystem) simulator     

OFDM系统中限幅非线性失真迭代对消法性能分析

限幅技术常用于正交频分复用系统中以抑制高峰值平均功率比,为抑制限幅造成的带内失真和带外辐射,可以在接收端进行限幅噪声的迭代估计和对消。该文提出对限幅带来的非线性失真进行迭代估计和对消的效果要比仅对限幅噪声进行估计对消好。前者在理想情况下能完全恢复出发端未限幅前的信号,但后者将始终受到由限幅带来的信号衰减的影响。理论分析和仿真结果验证了该结论及性能,同时数字结果表明,该算法能有效改进系统性能。在归一化限幅门限为1.2时,只通过一次迭代就能提高2dB。     

限幅OFDM的一种信道估计优化方法

在OFDM 系统中,限幅常用于抑制信号的峰平比,而限幅会引入额外的限幅噪声,以致干扰数据和导引符号,恶化传输性能.本文针对限幅OFDM系统,提出一种基于导引符号的限幅噪声消除算法.该算法在插入导引符号之前,滤除位于导引位置的限幅噪声,从而改善信道估计性能.在此基础上,本文还提出了利用迭代算法以进一步提高信道估计精确度.本文对所提出的限幅噪声消除算法及迭代算法进行了仿真验证,结果表明,新算法能够明显改善信道估计,优化传输性能.     

面向5G三大应用场景的F-OFDM系统PAPR抑制算法研究

曾作为5G候选波形技术的基于子带滤波的正交频分复用(Filtered-Orthogonal Frequency Division Multiplexing,F-OFDM)是基于正交频分复用(Orthogonal Frequency Division Multiplexing,OFDM)发展而来的,和OFDM一样存在峰值平均功率比(Peak to Average Power Ratio,PAPR)的问题。高PAPR的信号在发送时对系统功率放大器的性能要求很高,容易发生信号失真,并且会直接影响整个系统的运行成本和效率。为了提高F-OFDM系统在5G三大应用场景中的PAPR抑制性能,引入一种基于迭代限幅滤波的次优PTS抑制算法。该算法主要分为两个过程,先对F-OFDM系统的各子带的高PAPR值信号进行线性抑制,然后待各子带的信号经过各自的数字子带滤波器合并后再进行迭代限幅滤波处理,从而完成对F-OFDM信号PAPR的抑制。仿真表明,该算法相对于单独使用次优PTS算法或迭代限幅滤波算法,能提高F-OFDM系统的PAPR抑制性能。     

Clipping noise mitigation for OFDM by decision-aided reconstruction

Clipping is often used to reduce the large peak-to-mean envelope power ratio of orthogonal frequency-division multiplexing (OFDM) signals. However, it introduces additional noise that degrades the system performance. A technique called decision-aided reconstruction (DAR) is proposed for mitigating the clipping noise. The performance of the proposed technique is evaluated for additive white Gaussian noise and static intersymbol interference channels. The effect of using a realistic channel estimate is also examined. Results show that the DAR technique can mitigate the clipping noise significantly for OFDM systems that have large block sizes     

Clipping noise cancellation in OFDM systems using oversampledsignal reconstruction

Clipping the OFDM signals in the digital part of the transmitter is one of the simplest methods to reduce the peak factor. However, it suffers from additional clipping distortion, peak regrowth after digital to analog conversion, and out-of-band radiation in the case of oversampled sequence clipping. We use oversampled sequence clipping to combat the effect of peak regrowth and propose a method to reconstruct the clipped samples and mitigate the clipping distortion in the presence of channel noise at the expense of bandwidth expansion. We show through extensive simulations that by slightly increasing the bandwidth of the system, we can significantly improve the performance while limiting the maximum amplitude of the analog signal     

非线性功放条件下的恒包络OFDM系统性能

正交频分复用技术具有较高的频谱效率和好的抗频率选择性衰落性能,被广泛应用于无线通信系统中。但是OFDM信号具有较高的峰均比,当系统采用非线性功放时,OFDM系统需要较大的输入功率回退以避免信号失真。为了研究非线性功放条件下的系统性能,分析了恒包络OFDM系统的实现方式,并以误码率为指标,在加性高斯白噪声信道和多径衰落信道场景下对比了恒包络OFDM系统与采用传统迭代限幅滤波PAPR抑制技术的OFDM系统的性能。