分形维数作为战场声信号的特征,存在特征数量不足,反映信号非线性不充分的问题,提出了一种基于SVD与数学形态学分形维数谱(Singular Value Decomposition And Mathematical Morphological Fractal Dimensions Spectrum,SVD-MMFDS)的战...分形维数作为战场声信号的特征,存在特征数量不足,反映信号非线性不充分的问题,提出了一种基于SVD与数学形态学分形维数谱(Singular Value Decomposition And Mathematical Morphological Fractal Dimensions Spectrum,SVD-MMFDS)的战场声特征提取方法。对声信号构造Hankel矩阵,再进行SVD分解,根据信号频率与奇异值的关系,重构信号分量。将这些重构信号依次线性叠加,每叠加一次信号分量就计算一次分形维数,直至完全恢复原信号;通过这种方法,构成数量多且更能反映信号非线性的分形维数谱。运用半实物仿真实验将SVD与数学形态学分形维数谱的方法,与变分模态分解(VMD)和分形维数结合的方法进行对比,该方法提取的战场声特征具有更好的区分度且特征数量更多,为利用信号非线性来识别战场声目标提供较好的选择。展开更多
A chemical kinetic method based on the kinetic expression of the second-order reaction on fractals is used to determine the spectral dimension of tractal dimension of fractal surfaces. The method can convemently give ...A chemical kinetic method based on the kinetic expression of the second-order reaction on fractals is used to determine the spectral dimension of tractal dimension of fractal surfaces. The method can convemently give the spectral dimension by analyzing the relation between reactant concentration and reaction time (ct～t). The spectral dimension of the Diffusion-Limited Aggregate (DLA) is obtanined by Monte Carlo simulation of the desorption process of chemisorbed hydrogen from DLA, and it is in agreement, with that in literature. Also, the spectral dimension of a real catalyst12% Ni/Al2O3 is obtained by the method.展开更多
文摘分形维数作为战场声信号的特征,存在特征数量不足,反映信号非线性不充分的问题,提出了一种基于SVD与数学形态学分形维数谱(Singular Value Decomposition And Mathematical Morphological Fractal Dimensions Spectrum,SVD-MMFDS)的战场声特征提取方法。对声信号构造Hankel矩阵,再进行SVD分解,根据信号频率与奇异值的关系,重构信号分量。将这些重构信号依次线性叠加,每叠加一次信号分量就计算一次分形维数,直至完全恢复原信号;通过这种方法,构成数量多且更能反映信号非线性的分形维数谱。运用半实物仿真实验将SVD与数学形态学分形维数谱的方法,与变分模态分解(VMD)和分形维数结合的方法进行对比,该方法提取的战场声特征具有更好的区分度且特征数量更多,为利用信号非线性来识别战场声目标提供较好的选择。
文摘A chemical kinetic method based on the kinetic expression of the second-order reaction on fractals is used to determine the spectral dimension of tractal dimension of fractal surfaces. The method can convemently give the spectral dimension by analyzing the relation between reactant concentration and reaction time (ct～t). The spectral dimension of the Diffusion-Limited Aggregate (DLA) is obtanined by Monte Carlo simulation of the desorption process of chemisorbed hydrogen from DLA, and it is in agreement, with that in literature. Also, the spectral dimension of a real catalyst12% Ni/Al2O3 is obtained by the method.
