Performance Evaluation of MRMED Algorithm by Monitoring BER

S. Rizwan-ul-Hasan, Muhammad Tahir, Shakil Ahmed
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Abstract

In this research work, we have developed a communication system (transmitter / receiver) to control peak to average power (PAPR) with  small bit error rate (BER) for a 4G system called multicode code division multiple access (MCCDMA). Proposed communication system works on modified Reed Muller encoded data (MRMED) string. In MRMED data is first encoded with Reed Muller (RM) code. Thereafter, encoded RM message is XORed with optimal binary string, which results lower Peak to Average Power ratio (PAPR).  A well-known fact is that, bit error rate (BER) is the best performance measurement tool for a communication system. To check the integrity of our communication system, we have run the simulation for monitoring BER using MRMED sequence. Simulation work conducted, with multipath Rayleigh fading, Minimum Shift Keying (MSK) modulation and several orders of RM codes. Our results show that implementing MRMED sequences of the suggested MCCDMA communication structure, returns noticeable lower BER. For instance, in case of RM(1,4), that has error improvement proficiency of 3 (three) errors , returns BER = 8.2x10−5 adopting MSK, at SNR = 12dB. Similarly, for RM(2,3), which has error improvement efficiency of 0  error and shows distinct BER of 4.9x10−4 at  12dB (SNR).In addition to using simulation for checking BER performance of our communication system, we have also shown in our results that, as the error improvement capability of different RM codes surges, correspondingly we get a lower BER.
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监测误码率的MRMED算法性能评价
在这项研究工作中,我们开发了一个通信系统(发射机/接收机),以控制峰值平均功率(PAPR)与小误码率(BER)的4G系统称为多码码分多址(MCCDMA)。所提出的通信系统工作在修改的Reed Muller编码数据(MRMED)字符串上。在MRMED中,数据首先用Reed Muller (RM)编码。然后,用最优二进制串对编码后的RM报文进行xor,从而降低峰值平均功率比(PAPR)。众所周知,误码率(BER)是衡量通信系统性能的最佳工具。为了检查我们的通信系统的完整性,我们运行了模拟使用MRMED序列监测误码率。仿真工作采用了多径瑞利衰落、最小移位键控(MSK)调制和多阶RM码。我们的结果表明,采用建议的MCCDMA通信结构的MRMED序列,返回明显较低的误码率。例如,对于误差改进熟练度为3(3)个误差的RM(1,4),在信噪比为12dB时,采用MSK返回BER = 8.2x10−5。同样,对于RM(2,3),其误差改进效率为0误差,并且在12dB(信噪比)下显示出4.9x10−4的明显误码率。除了通过仿真来检验我们的通信系统的误码率性能外,我们还在我们的结果中表明,随着不同RM码的纠错能力激增,我们得到的误码率也相应降低。
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