1/F NOISE
1/F NOISE
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DOI：
10.1109/proc.1982.12282
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发表时间：
1982-01-01
影响因子：
20.6
通讯作者：
KESHNER, MS
中科院分区：
文献类型：
--
作者：
KESHNER, MS
1/f噪声是一种非平稳随机过程，适用于对进化或发展系统进行建模。它将过去事件对未来的强烈影响与随机事件的影响结合在一起，因此在某种程度上可以预测行为。发展了1/f噪声的非平稳自相关函数，证明了它的当前行为与最近和遥远的过去是同等相关的。展示1/f噪声的系统的最小存储量被显示为每十年频率一个状态变量。系统将其过去的历史浓缩为其状态变量的当前值，其中一个表示最近1个时间单位的平均值，另一个表示最近10个时间单位、100个时间单位、1000个、10000个时间单位的平均值，依此类推。每个这样的状态变量对当前的行为都有同等的影响。
1/f noise is a nonstationary random process suitable for modeling evolutionary or developmental systems. It combines the strong influence of past events on the future and, hence somewhat predictable behavior, with the influence of random events. Nonstationary autocorrelation functions for 1/f noise are developed to demonstrate that its present behavior is equally correlated with both the recent and distant past. The minimum amount of memory for a system that exhibits 1/f noise is shown to be one state variable per decade of frequency. The system condenses its past history into the present values of its state variables, one of which represents an average over the most recent 1 unit of time, one for the last 10 time units, 100 units, 1000, 10000, and so on. Each such state variable has an equal influence on present behavior.