Simple model for 1/fα noise -: art. no. 026120
Simple model for 1/fα noise -: art. no. 026120
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DOI：
10.1103/physreve.65.026120
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发表时间：
2002-02-01
影响因子：
2.4
通讯作者：
Schuster, HG
中科院分区：
文献类型：
--
作者：
Davidsen, J;Schuster, HG
我们提出了一个简单的随机机制，它产生的脉冲序列呈现出脉冲间隔的幂规律分布和几十年的L/f(α)功率谱，其中α接近L。我们模型的基本成分是一个波动的阈值，它执行布朗运动。每当增加的电势V(T)达到阈值时，V(T)被重置为原点，并发出脉冲。我们证明了如果V(T)随时间线性增加，脉冲间隔可以用带有乘性噪声的随机游动来近似。我们的模型与神经生物学最近的实验一致，并解释了在大脑皮层神经元和地震数据中观察到的高脉冲间期变异性和L/f(α)噪声的出现。
We present a simple stochastic mechanism which generates pulse trains exhibiting a power-law distribution of the pulse intervals and a l/f(alpha) power spectrum over several decades at low frequencies with alpha close to l. The essential ingredient of our model is a fluctuating threshold which performs a Brownian motion. Whenever an increasing potential V(t) hits the threshold, V(t) is reset to the origin and a pulse is emitted. We show that if V(t) increases linearly in time, the Pulse intervals can be approximated by a random walk with multiplicative noise. Our model agrees with recent experiments in neurobiology and explains the high interpulse interval variability and the occurrence of l/f(alpha) noise observed in cortical neurons and earthquake data.