A novel search method to reduce PAPR of an OFDM signal using partial transmit sequences

One of the main drawbacks of orthogonal frequency division multiplexing (OFDM) is the high peak‐to‐average power ratio (PAPR) of the transmitted OFDM signal. Partial transmit sequence (PTS) technique can improve the PAPR statistics of an OFDM signal. As ordinary PTS technique requires an exhaustive search over all combinations of allowed phase factors, the search complexity increases exponentially with the number of sub‐blocks. In this paper, we propose a novel PTS technique with reduced complexity that each level inverts twice of phase factor bits from previous level. Then we also use initial random phase sequence to find the better search way of PAPR reduction. Numerical results show that the proposed method can achieve significant reduction in search complexity with little performance degradation. Copyright © 2006 John Wiley & Sons, Ltd.     

Dual symbol optimization‐based partial transmit sequence technique for PAPR reduction in WOLA‐OFDM waveform

Weighted overlap and add‐orthogonal frequency division multiplexing (WOLA‐OFDM) is a new waveform proposed recently for meeting the requirements of fifth generation (5G) telecommunication standards. In spite of being a serious 5G waveform candidate, WOLA‐OFDM is exposed to the problem of high peak to average power ratio (PAPR) similar to the other waveforms in which multicarrier transmission strategy is employed. Due to the overlapping nature of WOLA‐OFDM waveform, where the extension of the current symbol is overlapped with the extension of the previous symbol, it will not be efficient to apply conventional PTS (C‐PTS) directly to the WOLA‐OFDM waveform. Therefore, in this paper, we propose dual symbol optimization‐based partial transmit sequence (DSO‐PTS) technique for PAPR reduction in WOLA‐OFDM waveform. In our proposed technique, two adjacent symbols are jointly considered when searching for the optimal data block with minimum PAPR unlike the C‐PTS where the adjacent symbols are optimized individually. In the simulations, our proposed DSO‐PTS technique, C‐PTS, and GreenOFDM that is developed recently by modifying the conventional selective mapping (SLM) method are compared with each other with regard to PAPR reduction performance for different search numbers (SNs). In addition, the effects of DSO‐PTS, C‐PTS, and GreenOFDM on the amount of out of band (OOB) radiation in the power spectral density (PSD) graph of WOLA‐OFDM employing solid state power amplifier (SSPA) is measured for different SNs and input back off (IBO) values. According to the simulation results, our proposed DSO‐PTS technique clearly demonstrates a superior PAPR reduction and PSD performance.     

PAPR Reduction of OFDM Signals Using Partial Transmit Sequences and Reed-Muller Codes

This letter proposes a modified PTS technique using binary Reed-Muller (RM) codes for error correction and PAPR control in BPSK OFDM systems. A RM code is divided into the direct sum of a correcting subcode for encoding information bits and a scrambling subcode for encoding PAPR bits. The transmitted signal of the resulting OFDM sequence is selected with minimum PAPR from a number of candidates which are codewords of a coset of the scrambling subcode. We consider the RM codes in natural and cyclic orderings. Numerical results show that RM codes in cyclic ordering achieve better performance in PAPR reduction than RM codes in natural ordering.     

A novel ant colony optimization algorithm for PAPR reduction of OFDM signals

The high peak‐to‐average power ratio (PAPR) is the main challenge of orthogonal frequency division multiplexing (OFDM) systems. Partial transmit sequence (PTS) is a useful approach to diminish the PAPR. Although the PTS approach significantly decreases the PAPR, it requires to explore all possible sequences of phase weighting factors. Hence, the computational cost exponentially increases with the number of divided subblocks. This paper proposes a novel PTS technique based on ant colony optimization (ACO) to diminish the high PAPR and computational cost of OFDM systems. By the new representation of phase factors as a graph, the improved ACO algorithm is combined with the PTS method to explore the optimal compound of the phase rotation factors. Simulation results represent that the proposed ACO‐based PTS approach significantly reduces the PAPR and improves the computational cost at the same time. A comparative analysis of the other meta‐heuristics shows that the ACO‐PTS approach outperforms the genetic algorithm, particle swarm optimization, and gray wolf optimization in terms of reducing PAPR.     

一种简单PTS旋转因子优选方法降低OFDM数字广播系统的PAPR

OFDM技术已经广泛应用于数字广播系统，首先对OFDM技术中用PAPR（peak-to-average power ratio）的基本定义和PTS方法作简要的介绍，之后提出一种简单的PTS旋转因子优选方法来降低以朋，仿真表明，提出的方法能够有效地降低OFDM系统的PAPR，运算复杂度与基本PTS相当。     

一种简单PTS旋转因子优选方法降低OFDM数字广播系统的PAPR

OFDM技术已经广泛应用于数字广播系统,首先对OFDM技术中PAPR(PEAK-TO-AVERAGE POWERRATIO)的基本定义和PTS方法作简要的介绍,之后提出一种简单的PTS旋转因子优选方法来降低PAPR,仿真表明,提出的方法能够有效地降低OFDM系统的PAPR,运算复杂度与基本PTS相当。     

基于随机分割的PTS改进算法研究

正交频分复用（OFDM）系统的一个主要缺点是信号的峰均功率比（PAPR）很高。提出了一种将随机分割方法与迭代移位搜索加权因子相结合的改进PTS算法。仿真结果表明,改进后的算法在改善PAPR性能和计算的复杂度之间取得了较好的折衷。     

Security aware hybrid precoding based peak‐to‐average power ratio reduction Approaches for telecommunication systems

In wireless telecommunication, one of the modulation approaches used is the orthogonal frequency division multiplexing (OFDM). Moreover, the high peak‐to‐average power ratio (PAPR) is the one notorious demerit in OFDM systems. Hence, the high power amplifier (HPA) is used in its linear region. Otherwise, the bit error rate (BER) will be increased. Several approaches are proposed in the wireless communications for reducing the PAPR issue. In this paper, we propose a hybrid Discrete Hartley Matrix Transform (DHMT) precoding using both selected mapping (SLM) and partial transmit sequence (PTS) PAPR reduction strategies. For the multicarrier modulation process, instead of Inverse Fast Fourier transform (IFFT) operation, the DHMT operation is used because of its low computational complexity. Based on multi‐chaotic, the time‐frequency domain encryption (TFDE) approach is adopted for physical layer security to confirm the security in data transmission. For enhancing the physical layer security, the proposed encryption system generates chaotic sequences based on Logistic maps and Lozi in the frequency and time domains together. In this study, the implementation of the DHMT‐based OFDM system is processed to reduce the maximum PAPR. Implementation is performed on the MATLAB platform, and the performances are calculated using complementary cumulative distribution function (CCDF), BER regards to signal‐to‐noise ratio (SNR), and the outputs are compared based on the computation time. However, compared with the existing models, the proposed model produced better PAPR minimization regarding SNR.     

降低PTS方法复杂度的原理及应用

传统的降低OFDM信号峰均比值的部分传输序列(PTS)方法需计算全部相位旋转因子序列所对应的峰均比值,因而计算复杂度很大.该文分析了OFDM信号峰值出现的规律,提出了搜索合乎需求的相位旋转因子序列的一般性原则,并在此基础上提出了一种全新的降低PTS方法复杂度的方案.理论分析和仿真结果表明,该方法在大幅降低系统复杂度的同时,性能损失较少.     

Hybrid Zadoff‐Chu and multilateral piecewise exponential companding transform–based PAPR reduction technique in OFDM systems

The orthogonal frequency‐division multiplexing (OFDM) is a multicarrier modulation system that is used to transmit the large volume of data to the receiver. Reducing the peak‐to‐average power ratio (PAPR) in OFDM system is one of the demanding and crucial task in recent days. For this reason, various precoding and companding mechanisms are developed in the traditional works, but it remains with the limitations of increased complexity, reduced performance, and nonlinear distortion. The reduction of PAPR is achieved by minimizing the companding distortion with the enhancement of the bit error rate (BER) performance significantly. Then, in order to avoid clipping in OFDM, a multilateral piecewise exponential companding transform (MPECT) method has been utilized rather than using piecewise exponential companding transform (PEC) where PAPR is getting reduced. The OFDM is very sensitive to synchronizing error. To overcome this sensitivity, employ the Zadoff‐Chu sequence to carrier frequency offsets. Zadoff‐Chu matrix transform (ZCMT) has numerous merits among the other ODFM systems such as the improvement in the performance of the channels that are fading away and provides an ideal periodic autocorrelation and a constant magnitude periodic cross correlation. Both of these techniques provide improvement in the ODFM systems. To get more efficiency, this paper aims to develop a hybrid technique by integrating the ZCMT and MPECT techniques for reducing the PAPR in OFDM systems. Further, convolutional encoding is applied for better BER and PAPR. The simulation results of the proposed ZCMT‐MPECT technique are evaluated and compared with the conventional OFDM and other precoding methods.     

Selected mapping technique for reducing PAPR of single‐carrier signals

Single‐carrier transmission with frequency‐domain equalization (SC‐FDE) is widely known as a promising transmission technique providing low error probability with low peak‐to‐average power ratio (PAPR) of transmit signal. However, the low‐PAPR property of SC‐FDE cannot be maintained if multi‐level data modulation is introduced. The low‐PAPR property of SC‐FDE can be maintained by applying transmit filtering with roll‐off factor at the expense of spectrum efficiency. In this paper, we propose two types of selected mapping (SLM) to reduce the PAPR of SC‐FDE transmit signal. The first SLM technique is conducted in the frequency domain, where the phase rotation is applied to subcarriers similar to the SLM technique for orthogonal frequency division multiplexing transmission. The second SLM technique is conducted in the time domain, where the phase rotation is applied directly to data‐modulated symbol sequence. Computer simulation confirms that both SLM techniques are able to reduce the PAPR of SC‐FDE signal without significant degradation of bit‐error rate performance and spectrum efficiency. Copyright © 2016 John Wiley & Sons, Ltd.     

光OFDM系统中基于PTS算法对峰均比抑制技术的分析

针对光正交频分复用(OFDM)系统中峰值平均功率比(PAPR)较高的缺点,重点研究了基于部分序列传输法(PTS)的峰均比抑制技术,提出一种改进的加强迭代PTS搜索技术(EIA-PTS),该技术能够降低原PTS的计算复杂度.仿真表明:原PTS方法随着相应参数的增加,迭代次数呈指数型增长,而EIA-PTS技术的迭代次数基本保持平稳且低于原PTS方法.在此基础上,又将EIA-PTS与削波(Clipping)技术相结合,提出了峰均比EIA-PTS-Clipping联合抑制技术.与EIA-PTS技术相比,该技术进一步提升了系统PAPR的抑制性能,能在系统误码率(BER)性能与PAPR抑制效果之间取得更好的折衷,具有较高的利用价值.     

Partial Transmit Sequence Optimization Using Improved Harmony Search Algorithm for PAPR Reduction in OFDM

This paper considers the use of the Partial Transmit Sequence (PTS) technique to reduce the Peak‐to‐Average Power Ratio (PAPR) of an Orthogonal Frequency Division Multiplexing signal in wireless communication systems. Search complexity is very high in the traditional PTS scheme because it involves an extensive random search over all combinations of allowed phase vectors, and it increases exponentially with the number of phase vectors. In this paper, a suboptimal metaheuristic algorithm for phase optimization based on an improved harmony search (IHS) is applied to explore the optimal combination of phase vectors that provides improved performance compared with existing evolutionary algorithms such as the harmony search algorithm and firefly algorithm. IHS enhances the accuracy and convergence rate of the conventional algorithms with very few parameters to adjust. Simulation results show that an improved harmony search‐based PTS algorithm can achieve a significant reduction in PAPR using a simple network structure compared with conventional algorithms.     

用部分传输序列方法降低实数OFDM信号峰均值比

该文分析了部分传输序列方法(PTS)用于降低实数OFDM信号峰均值比(PAPR)时存在的问题,分别研究并提出用于降低实数OFDM信号PAPR的相邻分割PTS(APTS)及交织分割PTS(IPTS)具体实现方法。仿真结果表明,APTS和IPTS能够有效降低信号的PAPR;在相同待选传输序列情况下,APTS算法性能与IPTS算法基本相当;APTS算法需要多次的IDFT运算,而IPTS仅需要一次IDFT运算。     

一种改进的无边带信息PTS-OFDM系统

部分传输序列(PTS)技术是减小OFDM信号峰均比的一种有效技术,具有无失真,性能优越的特点,但存在计算复杂度高以及需要传输边带信息(SI)的缺点,会增加系统开销,降低有效数据传输率.本文提出了一种无需单独传输SI信息的PTS优化方案,给出了实现方案及系统控制策略,并对该系统的峰平比和误码率性能进行了Matlab仿真和分析.结果表明,提出的PTS方案在不降低系统数据率的情况下可以有效改善OFDM信号的峰均比特性以及系统BER性能,且不受调制方式影响.     

降低OFDM系统峰平比的改进PTS技术研究

正交频分复用(OFDM)技术被认为是第四代移动通信系统的核心技术之一,但是该系统中的高峰平比(PAPR)问题一直是将该技术实用化的一大障碍。本文研究了利用信号扰码技术降低OFDM系统峰平比的一种典型算法:部分传输序列法(PTS),指出其适用的场合,提出了一种将随机分割子序列与迭代移位搜索加权因子相结合的改进PTS算法。仿真结果表明:改进后的算法在改善PAPR性能和计算的复杂度之间取得了很好的折衷。     

Combined Selective Mapping and Binary Cyclic Codes for PAPR Reduction in OFDM Systems

In this paper, we consider reduction of PAPR in OFDM systems with BPSK subcarriers by combining SLM and binary cyclic codes. This combining strategy can be used for both error correction and PAPR reduction. We decompose a binary cyclic code into direct sum of two cyclic subcodes: the correction subcode used for error correction and the scrambling subcode for PAPR reduction. The transmitted OFDM signal is selected that achieves minimum PAPR, from the set of binary cyclic codewords. The received signal can be easily decoded without the need of any side information. Simulations show that the proposed scheme with simplex code as scrambling subcode achieves good PAPR reduction.     

一种降低OFDM信号PAPR的改进PTS方法

正交频分复用(OFDM)系统的一个主要缺点是信号的峰值功率与平均功率比(PAPR)很高。本文研究了利用信号扰码技术降低OFDM系统峰均比的一种典型算法:部分传输序列法(PTS),提出了一种将随机分割方法、交织分割方法与迭代移位搜索加权因子相结合的改进PTS算法。仿真结果表明,改进后的算法在改善PAPR性能和计算的复杂度之间取得了较好的折衷。     

PAPR reduction of an OFDM signal by use of PTS with low computational complexity

One of the major drawbacks of orthogonal frequency division multiplexing (OFDM) is the high peak-to-average power ratio (PAPR) of the transmitted OFDM signal. Partial transmit sequence (PTS) technique can improve the PAPR statistics of an OFDM signal. However optimum PTS (OPTS) technique requires an exhaustive search over all combinations of allowed phase factors, the search complexity increases exponentially with the number of sub-blocks. By combining sub-optimal PTS with a preset threshold, a novel reduced complexity PTS (RC-PTS) technique is presented to decrease the computational complexity. Numerical results show that the proposed approach can achieve better performance with lower computational complexity when compared to that of other PTS approaches.     

基于频域导频PTS-OFDM系统峰平比降低技术

对于无线通信系统而言,OFDM是一种非常有吸引力的传输技术,但是OFDM信号具有较高的峰平比特性.为了减小信号峰平比,本文利用部分传输序列PTS技术,提出了一种适用于基于频域导频OFDM系统的峰平比降低实现方案,给出了其实现算法及系统控制策略;并利用计算机仿真对该系统的峰平比和误码率性能进行了分析,仿真结果表明:PTS技术可以有效地改善OFDM信号的高峰平比特性.本方案采用FPGA实现其相应的硬件电路,经过实际的OFDM系统样机传输测试,证明了所提方法的实用性及其良好的性能.