基于最佳匹配阵列随机共振系统的研究及应用

发布时间：2018-05-05 11:50

本文选题：随机共振 + 阵列双稳态系统　；参考：《南京邮电大学》2017年硕士论文

【摘要】：现代通信系统及相关设备中,噪声使得接收端恢复出的信号与发送的信号存在着偏差。然而在某些非线性系统中,输入信号和噪声在输出中表现出协作效应,这种随机系统的协作现象即为“随机共振”。随机共振将妨碍信号传输的噪声变为信号的“催化剂”,充分利用无序的噪声能量向有序的信号能量转移的特性对改善现代通信系统的可靠性具有极大作用。本文基于经典的双稳态随机共振系统,结合最佳匹配理论与阵列思维,分别研究了微弱周期信号和大参数非周期信号传输过程中的随机共振现象及性质,主要工作内容如下:首先基于周期信号的单个双稳态系统,利用并行阵列的方法构建阵列双稳态系统,并通过引入最佳匹配理论,获得最佳匹配阵列双稳态系统。以最佳信噪比增益为测度,分析阵列数目、信号频率和噪声强度对随机共振效果的影响。发现了阵列系统的最佳信噪比增益存在数值上限。其次将最佳匹配阵列双稳态系统引入到非周期数字信号中,结合双稳态归一化尺度变化方法实现对大参数非周期数字信号的增强检测。同时发现阵列双稳态系统可以有效降低系统的误码率,采用最佳匹配理论则可以获得最佳误码率,并分析阵列数目、码元速率及噪声强度对随机共振效果的影响。在不考虑码间串扰的情况下,发现了码元速率对最佳误码率没有影响;通过增加阵列数目则可以使得最佳误码率趋于零。最后研究了最佳匹配阵列双稳态系统在ASCII码传输过程中的应用,通过构建英文文本的编码、传输、译码仿真实验,并分析阵列数目和噪声强度对ASCII码译码结果出现差错的影响。发现了通过增加阵列数目可以有效的降低系统的误比特率,改善文本的阅读质量。
[Abstract]:In modern communication systems and related devices, noise makes the signal recovered from the receiver deviate from the transmitted signal. However, in some nonlinear systems, the input signal and noise show cooperative effect in the output. The cooperative phenomenon of the stochastic system is called "stochastic resonance". Stochastic resonance changes the noise from signal transmission into a "catalyst" for signal transmission. Making full use of the characteristic of energy transfer from disordered noise to ordered signal energy is of great importance to improving the reliability of modern communication system. Based on the classical bistable stochastic resonance system, combining the optimal matching theory and array thinking, the stochastic resonance phenomena and properties in the transmission of weak periodic signal and large parameter aperiodic signal are studied respectively in this paper. The main work is as follows: firstly, a single bistable system based on periodic signal is constructed by using the method of parallel array, and the optimal matching array bistable system is obtained by introducing the optimal matching theory. The effects of array number, signal frequency and noise intensity on the effect of stochastic resonance are analyzed using the optimal SNR gain as a measure. It is found that there is a numerical upper limit for the optimal SNR gain of the array system. Secondly, the optimal matching array bistable system is introduced into the aperiodic digital signal, and the enhancement detection of the large parameter aperiodic digital signal is realized by combining the bistable normalized scale variation method. It is also found that the array bistable system can effectively reduce the bit error rate of the system, and the optimal bit error rate can be obtained by using the optimal matching theory. The effects of array number, symbol rate and noise intensity on the effect of stochastic resonance are analyzed. Without considering the inter-symbol crosstalk, it is found that the symbol rate has no effect on the optimal bit error rate, and the optimal bit error rate can be reduced to zero by increasing the number of arrays. Finally, the application of the optimal matching array bistable system in the transmission of ASCII codes is studied. The simulation experiments of encoding, transmission and decoding of English text are carried out. The effects of array number and noise intensity on the error of decoding results of ASCII codes are analyzed. It is found that increasing the number of arrays can effectively reduce the bit error rate of the system and improve the reading quality of the text.
【学位授予单位】：南京邮电大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TN911.4

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