期刊论文

Mathematical Mechanism and Analysis of Four Riemannian Distances with Different Signal-to-Noise Ratios

中文

理论数学

2160-7583

2023

4

1073-1078

本校为第一机构

针对对称正定矩阵流形,通过理论分析给出了四种不同的黎曼度量与典型性质,并通过仿真实验,分析了正弦信号在叠加不同信噪比的高斯噪声情况下,信号与噪声之间不同度量下的距离变化趋势。实验结果表明,不同的黎曼度量将呈现特有的变化趋...展开更多 针对对称正定矩阵流形,通过理论分析给出了四种不同的黎曼度量与典型性质,并通过仿真实验,分析了正弦信号在叠加不同信噪比的高斯噪声情况下,信号与噪声之间不同度量下的距离变化趋势。实验结果表明,不同的黎曼度量将呈现特有的变化趋势。收起

For symmetric positive definite matrix manifolds, four kinds of Riemannian measurements and typical properties are given by theoretical analysis, and the variation trend of distance between sinusoidal signal and noise under different measurements is analyzed by simulati...MORE For symmetric positive definite matrix manifolds, four kinds of Riemannian measurements and typical properties are given by theoretical analysis, and the variation trend of distance between sinusoidal signal and noise under different measurements is analyzed by simulation experiment under the condition of superimposing G...