闪变噪声的模拟

Simulation of flicker noise

摘要:

闪变噪声是一种普遍存在的自然现象，尽管其形成机理还没有定论，但闪变噪声的功率谱与频率具有f -a的关系是十分确定的。准确模拟闪变噪声，对于研究闪变噪声的特点以及闪变噪声对特定系统的影响，具有重要的意义。通过从闪变噪声具有的功率谱形式出发，得到闪变噪声序列的自相关函数，采用Levinson-Durbin迭代算法构造出高阶AR(p)模型来模拟闪变噪声，研究结果表明当阶次p大于1024时，AR(p)模型可以很好地模拟闪变噪声。

Abstract:

Flicker noise is a widespread natural phenomenon, although its formation mechanism has not yet conclusive, it is very determined that the flicker noise power spectrum have f -a form. It is significant to simulate the flicker noise accurately, for the study of the characteristics of the flicker noise and particular system influenced by flicker noise. In this paper, according to the power spectrum form of flicker noise, the autocorrelation function of flicker noise sequence can be obtained, and then, using the Levinson-Durbin iterative algorithm, we can get a high-order AR(p) model to simulate the flicker noise, the results show that when the order p is greater than 1024, AR(p) model can simulate the flicker noise accurately.