基于无穷范数的PAPR抑制算法研究

发布时间：2018-09-19 13:33

【摘要】：在今天这个互联网时代,无线通信蓬勃发展,尤其是移动通信,这就促使频谱变成了一种宝贵而短缺的资源。正交频分复用技术(Orthogonal Frequency Division Multiplexing,OFDM)是一种高效的数据传输方式,并且它具备很高的频谱利用率。与单载波技术相比,多载波技术的峰均功率比(Peak to Average Power Ratio,PAPR)过高,而且实现成本高。如果在带宽可以满足业务需求的情况下,就可以使用单载波系统。PAPR偏大是单载波技术和多载波技术共同拥有的问题。至今,大部分的研究工作都集中在对OFDM系统的PAPR优化上,而对如何优化单载波PAPR的方法很少。本文主要是对降低单载波微波系统PAPR展开讨论和研究。因为所有调制系统PAPR的优化算法中除了限幅算法,其他都不能直接用于降低单载波微波系统PAPR,因此本文主要通过深入研究降低调制系统的PAPR的传统算法,然后将这些算法思想应用在降低单载波微波系统PAPR中去。虽然限幅算法会造成信号的畸变,但是通过滤波可以减小信号的损失,因此可以结合限幅算法的思想。本文首先分析PAPR与信号幅值的关系,构建了一个无穷范数的数学模型,这是算法提出的核心。然后基于无穷范数模型,引入信号分段的思想,再结合限幅算法和压扩变换算法,最后提出了三种抑制单载波微波系统PAPR的算法,即分段缩放滤波算法,分段限幅缩放滤波算法和循环抑制算法。文章首先描述了无穷范数模型的数学原理,以及模型的详细推导,然后介绍了三种算法的理论分析和公式推导,并通过数值实验实现这三种算法,最后对无穷范数模型进行了改进,同时也对基于新模型的三种算法进行了仿真。从结果可以看出三种算法在满足频谱模板的条件下,都能有效的抑制单载波微波系统PAPR,而且EVM和BER性能都很好。并且与传统的限幅算法比较,提出的三种新算法降低PAPR的幅度远远大于它,尤其是第三种循环抑制算法。因此本文在降低单载波微波系统PAPR上取得了有效的成果。
[Abstract]:In today's Internet age, wireless communication is booming, especially mobile communication, which makes spectrum become a precious and scarce resource. Orthogonal Frequency Division Multiplexing (OFDM) is an efficient data transmission method, and it has a high spectral efficiency. Compared with the technology, the Peak to Average Power Ratio (PAPR) of multi-carrier technology is too high, and the cost of implementation is too high. If the bandwidth can meet the service requirements, the single-carrier system can be used. In this paper, we mainly discuss and study how to reduce the PAPR of the single-carrier microwave system. Because all the optimization algorithms of the modulation system PAPR can not be directly used to reduce the PAPR of the single-carrier microwave system except the amplitude limiting algorithm, so this paper mainly talks about how to reduce the PAPR of the single-carrier microwave system. The traditional algorithms for reducing the PAPR of modulation system are studied in depth, and then these algorithms are applied to reduce the PAPR of single-carrier microwave system. Although the amplitude-limiting algorithm can cause signal distortion, the loss of signal can be reduced by filtering, so the idea of amplitude-limiting algorithm can be combined. Firstly, the PAPR and signal amplitude are analyzed. Then, based on the infinite norm model, the idea of signal segmentation is introduced, combined with the amplitude limiting algorithm and companding transform algorithm, three algorithms are proposed to suppress the PAPR of single-carrier microwave system, namely, the piecewise scaling filtering algorithm and the piecewise limiting scaling filtering algorithm. Firstly, this paper describes the mathematical principle of the infinite norm model and the detailed derivation of the model, then introduces the theoretical analysis and formula derivation of the three algorithms, and implements the three algorithms through numerical experiments. Finally, the infinite norm model is improved, and three algorithms based on the new model are also improved. The simulation results show that the three algorithms can effectively suppress the PAPR of single-carrier microwave system under the condition of satisfying the spectrum template, and the performance of EVM and BER is very good. In this paper, we have achieved some effective results in reducing the single carrier microwave system PAPR.
【学位授予单位】：电子科技大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TN929.5

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