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噪声信息的多重分形和分形噪声的物理机制
The physics origin on the multifractal and fractal noise information
【摘要】 指出分形体可分为实空间分形和相空间分形.分形噪声的频谱在空间信息序列重构的相空间中生长为多重分形.利用统计物理的系综几率分布理论来诠释分形噪声的物理机制,认为它是在非线性随机作用下,广义布朗粒子的随机运动所产生的效应,进而导出噪声信息频谱的多重分形配分函数,并与统计热力学标准配分函数进行了类比.
【Abstract】 Fractal they can be classified into real shace and thase space. The frenquecy shectrum of fractal noise can develope into multifractal in thase space whose shace information sequence is seconstruced. In this paper, the physics origin on the fractal noise is explained by ensemble probability distribution theory of statistical physics. It is the result generated by the random movement of general Brown particle under the effect of nonlinea-r random force.The multifractal partition function of the noise information frequency spectrum is deduced. It is compared with the norml partition function of statistical physics.
- 【文献出处】 东北师大学报(自然科学版) ,JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION) , 编辑部邮箱 ,1999年04期
- 【分类号】O422
- 【被引频次】3
- 【下载频次】148