基于RMT的协作检测算法

Cooperative Detection Algorithm Based on RMT

  • 摘要: 随机矩阵理论(RMT)是一种非常有效的用于研究系统渐近特性的数学工具,成功解决了一些经典数学无法解决的问题。为进一步提高检测性能,该文基于RMT研究了多点协作信号检测算法,新算法从混有噪声的信号样本协方差矩阵入手,利用自由(解)卷积算子求解自由方程,从而精确提取出信号的功率。理论分析及仿真结果表明,新算法检测灵敏度高,收敛速度快,具有较好的理论及应用价值。

     

    Abstract: Random Matrix Theory (RMT) FPT is an invaluable tool for describing the asymptotic behavior of many systems, and has successfully resolved a number of problems which cannot be resolved through the classical mathematics method. In this paper, aiming at high detection performance and started with sample covariance matrices of communication systems with noise, new RMT-based multi-point cooperative signal detection scheme solve the free equations using free convolution operator, and then obtain the accurate signal power. Theoretical analysis and computer simulation results show new scheme is more precise and can converge quickly. So the new algorithm has better theoretical and application value.

     

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