CE-OFDM调制中继选择AF系统的误码性能

doi:10.11959/j.issn.1000-0801.2019283

摘要/Abstract

摘要：

恒包络（CE）正交频分复用（OFDM）能够开发OFDM的优点，并能消除OFDM峰均功率比高、对功率放大器非线性失真敏感的缺点。反馈时延等因素会恶化采用OFDM调制的中继选择放大转发（AF）协作系统的误码性能。最小均方误差（MMSE）维纳信道预测器能够减轻反馈时延对无线系统误码性能的恶化。为此，提出了一种能够克服OFDM缺点和反馈时延影响的、采用CE-OFDM调制和MMSE信道预测的中继选择AF协作系统方案，并推导其在瑞利块衰落信道上矩形正交幅度调制下的平均误比特率（ABER）下界表达式。数值计算和仿真结果表明：当调制系数较小时，上述系统的ABER下界具有较高的准确性，可用于CE-OFDM调制和MMSE信道预测的中继选择AF协作系统的设计。

关键词: 瑞利衰落信道, 恒包络正交频分复用, 放大转发, 信道预测, 中继选择

Abstract:

Constant envelope (CE) orthogonal frequency division multiplexing (OFDM) can develop the advantages of OFDM,and eliminate the shortcomings of high peak-to-average power ratio (PAPR) and sensitivity to non-linear distortion of power amplifiers.The error performance of OFDM based amplify-and-forward (AF) cooperative system with relay selection will be deteriorated due to feedback delay and other factors.Minimum mean square error (MMSE) Wiener channel predictor can alleviate the deterioration of error performance of wireless systems caused by feedback delay.For this reason,the CE-OFDM based AF cooperative system with relay selection and MMSE channel prediction which can overcome the shortcomings of OFDM and the influence of feedback delay was proposed,and its lower bound expressions for the average bit error rate (ABER) of rectangular quadrature amplitude modulation over Rayleigh block fading channels were derived.The numerical calculation and simulation results show that the lower bound expressions for the ABER of the above system has high accuracy when the modulation coefficients are small and can be used to design the AF cooperative system with CE-OFDM,channel prediction,and relay selection.

Key words: Rayleigh fading channel, amplify and forward, channel prediction, constant envelope orthogonal frequency division multiplexing, relay selection

中图分类号:

TN911

江涛,李光球,蔡建辉. CE-OFDM调制中继选择AF系统的误码性能[J]. 电信科学, 2019, 35(12): 57-66.

Tao JIANG,Guangqiu LI,Jianhui CAI. Error performance of CE-OFDM based AF systems with relay selection[J]. Telecommunications Science, 2019, 35(12): 57-66.

图/表 7

图1

图2

表1

图3

图4

图5

图6

参考文献 21

[1]	HANAN A T , IMAD B , NAOFAL A D . Narrow-band interference mitigation using compressive sensing for AF-OFDM systems[J]. IEEE Transactions on Vehicular Technology, 2017,66(7): 6146-6159.
[2]	任婷洁, 李光球, 程英 . 多中继与多用户选择的中继系统安全性能分析[J]. 电信科学, 2019,35(8): 111-119.
	REN T J , LI G Q , CHENG Y . Secure performance analysis of relay systems with multi-relay and multi-user selection[J]. Telecommunications Science, 2019,35(8): 111-119.
[3]	冯友宏, 杨志, 丁绪星 ,等. 无线协作网络中的最优中继选择方案及中断概率分析[J]. 电信科学, 2018,34(11): 93-101.
	FENG Y H , YANG Z , DING X X ,et al. Optimal relay selection scheme and outage probability analysis in cooperative wireless networks[J]. Telecommunications Science, 2018,34(11): 93-101.
[4]	ZHANG Q , SHU F , SUN J . On the diversity behavior for fixed-gain amplify-and-forward relaying over frequency-selective channels based on linearly precoded OFDM[J]. IEEE Transactions on Vehicular Technology, 2012,61(5): 2405-2411.
[5]	SURAWEERA H A , ARMSTRONG J . Performance of OFDM-based dual-hop amplify-and-forward relaying[J]. IEEE Communications Letters, 2007,11(9): 726-728.
[6]	SINGYA P K , KUMAR N , BHATIA V . Performance analysis of OFDM based multiple relay cooperative AF system with relay selection and nonlinear power amplifier[C]// IEEE International Conference on Advanced Networks and Telecommunications Systems,November 6-9,2016,Bangalore,India. Piscataway:IEEE Press, 2016: 1-6.
[7]	KUMAR N , SHARMA S , BHATIA V . Performance analysis of OFDM-based nonlinear AF multiple-relay systems[J]. IEEE Wireless Communications Letters, 2017,2(6): 122-125.
[8]	FERDINAND N S , RAJATHEVA N , LATVA A M . Effects of feedback delay on the performance of multiple relay network over Nakagami-m fading channels[C]// IEEE Vehicular Technology Conference,September 3-6,2012,Quebec,QC. Piscataway:IEEE Press, 2012: 1-5.
[9]	PRAKASH S , MCLOUGHLIN I . Effects of channel prediction for transmit antenna selection with maximal-ratio combining in Rayleigh fading[J]. IEEE Transactions on Vehicular Technology, 2011,60(6): 2555-2568.
[10]	PRAKASH S , MCLOUGHLIN I V . Channel prediction in non-regenerative multi-antenna relay selection systems[J]. IET Communications, 2012,6(13): 2027-2032.
[11]	THOMPSON S C , AHMED A U , PROAKIS J G ,et al. Constant envelope OFDM[J]. IEEE Transactions on Communications, 2008,56(8): 1300-1312.
[12]	王清波 . 非线性功放条件下的恒包络 OFDM 系统性能[J]. 电信科学, 2016,32(9): 120-124.
	WANG Q B . Performance of constant envelope OFDM system with nonlinear power amplifier[J]. Telecommunications Science, 2016,32(9): 120-124.
[13]	CUI G , WANG C , WANG W ,et al. Frequency offset compensation for satellite communication system with CE-OFDM[J]. China Communications, 2017,14(8): 93-104.
[14]	SACCHI C , RAHMAN T F , BARTOLOMEI N ,et al. Design and assessment of a CE-OFDM-based mm-wave 5Gcommunication system[C]// IEEE Globecom Workshops,December 4-8,2016,Washington,DC,USA. Piscataway:IEEE Press, 2016: 1-7.
[15]	李光球, 王思婷 . 信道预测联合收发分集的正交信号误码性能[J]. 电信科学, 2017,33(5): 29-38.
	LI G Q , WANG S T . Performance analysis of orthogonal signals with TASP/MRC diversity[J]. Telecommunications Science, 2017,33(5): 29-38.
[16]	叶新荣, 张爱清, 麻金继 . 一种仿真瑞利信道的有效方法[J]. 中国科学院大学学报, 2010,27(2): 228-233.
	YE X R , ZHANG A Q , MA J J . An efficient simulation method for Rayleigh channels[J]. Journal of the Chinese Academy of Sciences, 2010,27(2): 228-233.
[17]	JEFFREY A , ZWILLINGER D . Table of integrals,series,and products[M]. Pittsburgh: Academic PressPress, 2007.
[18]	TSIFTSIS T A , KARAGIANNIDIS G K , MATHIOPOULOS P T ,et al. Nonregenerativedual-hop cooperative links with selection diversity[J]. Eurasip Journal on Wireless Communications ＆ Networking, 2006(1): 1-8.
[19]	ZHAO Z , TANG Z . Modulation and demodulation technique of constant envelope OFDM[C]// 2014 Fourth International Conference on Instrumentation and Measurement,Computer,Communication and Control,September 18-20,2014,Harbin,China. Piscataway:IEEE Press, 2014: 156-160.
[20]	PRAKASH S . Performance of dual-hop multi-antenna systems with fixed gain amplify-and-forward relay selection[J]. IEEE Transactions on Wireless Communications, 2011,10(6): 1709-1714.
[21]	KIM I M . Exact BER analysis of OSTBCs in spatially correlated MIMO channels[J]. IEEE Transactions on Communications, 2006,54(8): 1365-1373.

系统参数	参数名称	表示符号	参数值
CE-OFDM调制	子载波调制	M₁ ×M₂ QAM	4× 2
	信号幅度	A	1
	调制系数	2πh	0.3、0.6、1.0
	调制符号数	N_D	63
	符号长度/μs	T_B	128
	IDFT点数	N_c	512
	采样频率/MHz	F_s	4
	过采样因子	C_os	4
预测器	导频信噪比/dB	E_p/N₀	30
	阶数	N	5
信道	多普勒频移/Hz	f_d	100
	块周期/μs	L _bT_s	128
FIR滤波器	阶数	L_f	11
	截止频率/MHz	f_n	0.2