The concept of varying-time dimension is presented and the original fractional Brownian motion model is extended to be a locally self-similarity stochastic process.
提出了时变维数的概念，对原有分数布朗运动模型加以拓展，使其成为具有局部自相似性的随机过程。
Fractional Gaussian Noise (FGN) is the increment process of fractional Brownian motion, they are widely used in modelling self-similar process.
分形高斯噪声fgn是分形布朗运动的增量过程，广泛应用于自相似过程的建模分析。
Thesis shows that the insulator surface pollution process has matter with Brownian motion, the air drag force, turbulent diffusion, gravity.
论文研究表明，绝缘子表面积污过程与布朗运动、气流曳力、湍流扩散、重力自沉降有关。
The impulse consumption control strategy of the problem is governed by a mixed process-geometrical Brownian motion and a Poisson process.
讨论了一类随机控制问题，其脉冲消费控制策略受控于一混合过程——几何布朗运动和泊松过程。
The fractional Brownian motion based fractal Image with desired fractional dimension can be generated by applying its shaping filter to a Gaussian distributed white process.
用成形滤波器对高斯分布的白色过程滤波，便可以得到具有期望分数维的布朗运动分形图形。
The fractional Brownian motion based fractal Image with desired fractional dimension can be generated by applying its shaping filter to a Gaussian distributed white process.
用成形滤波器对高斯分布的白色过程滤波，便可以得到具有期望分数维的布朗运动分形图形。
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