Abstract: Focusing on the issue that the noise influences transmission of symbol in the digital communication system, to improve system reliability and reduce Bit Error Rate (BER) of the received signal, a new Stochastic Resonance (SR) system based on the optimal match and parallel array theory was proposed. Firstly, the parallel array theory was used to improve the stochastic resonance effect of single bistable system. Secondly, the method of optimal match for SR was also used in array systems for weak signal detection. Finally, an analytical expression of the Signal-to-Noise Ratio (SNR) gain in the optimal matching stochastic resonance bistable system was derived; furthermore, the influence of array number on the BER was analyzed. In the comparison experiments with single stochastic resonance system, the performance of the optimal matching array stochastic resonance system on the detection of weak signal in strong noise background was improved, the SNR gain of the output signal of the system was significantly higher than 1, and the BER was also significantly reduced; in addition, SR performed better while the number of units of stochastic resonance system increased. The theoretical analysis and simulation results show that the optimal matching array stochastic resonance system can effectively improve the reliability of the digital communication system in practical engineering.

Key words: Stochastic Resonance(SR), array bistable system, optimal match, Signal-to-Noise Ratio (SNR)gain, Bit Error Rate (BER)

摘要： 针对数字通信系统中噪声影响码元传输的问题，为提高系统的可靠性，降低接收信号的误码率（BER），提出一种基于最佳匹配方法和并行阵列理论的随机共振（SR）系统。首先，利用并行阵列理论来增强单个双稳态系统的随机共振效果；其次，将最佳匹配随机共振微弱信号的检测方法运用到阵列系统中；最后，推导出最佳匹配阵列随机共振系统的信噪比（SNR）增益表达式，并分析阵列单元数对误码率的影响。理论分析和实验仿真表明，最佳匹配阵列随机共振系统相比单个随机共振系统在强噪声背景下对微弱数字信号的检测性能得到提升，系统输出信噪比增益显著大于1，误码率也得到明显降低；且随着阵列单元数增加，阵列系统的随机共振效果越好。实验结果表明，最佳匹配阵列随机共振系统在实际工程中能够有效提高数字通信系统的可靠性。

关键词: 随机共振, 阵列双稳态系统, 最佳匹配, 信噪比增益, 误码率