基于矩阵低秩估计的可靠多载波差分混沌键控接收机
张 琳
*①
陈炳均
①
吴志强
②
①
(中山大学电子与信息工程学院 广州 510006)
②
(西藏大学珠峰研究院 拉萨 850000)
摘 要:在多载波差分混沌键控(MC-DCSK)系统中,经由无线信道传输在接收端进行检测时,参考混沌信号的
传输差错将降低承载信息的检测性能,降低传输可靠性。为了提高可靠性,该文基于承载信息的调制信号因共享
参考混沌信号的低秩特性,提出了一种基于矩阵低秩估计(LRAM)的MC-DCSK接收机,增强系统可靠性。该接
收机将接收信号矩阵表示为秩1矩阵和噪声矩阵之和,然后对接收信号矩阵进行低秩估计,以得到参考信号的最
优估计,并进而将其用于承载信息的调制信号的检测和解调,从而提升系统传输可靠性。继而,该文证明了
LRAM检测可等效于最大似然估计检测,并对信息泄露率理论安全性能进行了分析,分析结果表明所提方案安全
性与基准MC-DCSK系统一致。仿真结果验证了该接收机在加性高斯白噪声(AWGN)和多径衰落信道下可有效提
升MC-DCSK系统的可靠性。
关键词:多载波差分混沌键控系统;矩阵低秩估计;可靠性;接收机
中图分类号:TN914.42 文献标识码:A 文章编号:1009-5896(2021)01-0037-08
DOI: 10.11999/JEIT200349
Reliable Multi Carrier Differential Chaos Shift Keying Receiver
Based on Low Rank Approximation of Matrices Estimation
ZHANG Lin
①
CHEN Bingjun
①
WU Zhiqiang
②
①
(School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou 510006, China)
②
(Everest Research Institute, Tibet University, Lhasa 850000, China)
Abstract: In Multi-Carrier Differential Chaos Shift Keying (MC-DCSK) systems, after transmitted over wireless
channels, the transmission errors in the reference chaotic signal will degrade the detection performances of the
information-bearing signals at the receiver. In order to address this issue, in this paper, a Low Rank
Approximation of Matrices (LRAM) aided MC-DCSK receiver is proposed based on the low rank characteristics
of the information-bearing chaotic modulated signals sharing the same reference chaotic signal, with the aim to
enhance the reliability performances. In the design, the received signal matrix is evaluated by the sum of a rank
one matrix and a Gaussian noise matrix, and then the LRAM method is applied to derive the estimates of
received signals to attain the optimal estimate of the reference chaotic sequence, which is subsequently used to
recover the user data, thereby improving the reliability performances of MC-DCSK systems. Subsequently, the
proposed LRAM detection is proved that is equivalent to the maximum likelihood estimation detection, then
the theoretical security performances in terms of the information leakage is analyzed. The analysis shows that
the security performances of the proposed system keep the same as those of the benchmark MC-DCSK systems.
Simulation results demonstrate the superior Bit Error Rate (BER) performances of the proposed LRAM aided
MC-DCSK systems over Additive White Gaussian Noise (AWGN) and multipath fading channels.
Key words: Multi-Carrier Differential Chaos Shift Keying (MC-DCSK); Low Rank Approximation of Matrices
(LRAM); Reliability performances; Receiver
收稿日期:2020-04-30;改回日期:2020-08-04;网络出版:2020-08-07
*通信作者: 张琳 isszl@mail.sysu.edu.cn
基金项目:国家自然科学基金(61602531),广东省自然科学基金(2020A1515010703),西藏自治区科技计划项目-重点研发与转化计划
(XZ201901-GB-16)
Foundation Items: The National Natural Science Foundation of China (61602531), The Natural Science Foundation of Guang Dong
Province (2020A1515010703), The Key Research and Development and Transformation Plan of Science and Technology Program for Tibet
Autonomous Region (XZ201901-GB-16)
第43卷第1期 电 子 与 信 息 学 报 Vol. 43No. 1
2021年1月 Journal of Electronics & Information Technology Jan. 2021