基于矩阵低秩估计的可靠多载波差分混沌键控接收机

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。

Reliable Multi Carrier Differential Chaos Shift Keying Receiver Based on Low Rank Approximation of Matrices Estimation

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.