题目

英语翻译
a.Fourier red noise spectrum
Many geophysical time series can be modeled as
either white noise or red noise.A simple model for red
noise is the univariate lag-1 autoregressive [AR(1),or
Markov] process:
（公式不用翻译）
where a is the assumed lag-1 autocorrelation,x0 = 0,
and zn is taken from Gaussian white noise.Following
Gilman et al.(1963),the discrete Fourier power spectrum
of (15),after normalizing,is
公式
where k = 0 … N/2 is the frequency index.Thus,by
choosing an appropriate lag-1 autocorrelation,one can
use (16) to model a red-noise spectrum.Note that a = 0
in (16) gives a white-noise spectrum.
The Fourier power spectrum for the Niño3 SST is
shown by the thin line in Fig.3.The spectrum has been
normalized by N/2s2,where N is the number of points,
and s2 is the variance of the time series.Using this
normalization,white noise would have an expectation
value of 1 at all frequencies.The red-noise

提问时间：2021-02-21

答案

一.傅立叶红色的噪音光谱许多地球物理学的时间系列能被做模型当做白色噪音或红色的噪音.一个简单的模型为红色噪音是单变数落后-1 autoregressive[AR(1),或Markov] 程序:（公式不用翻译）哪里一是假装的落后-1 自相关...