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我指的是以下帖子:使用 scipy.signal.spectral.lombscargle 进行经期发现

我意识到在某些情况下给出的答案是正确的。

sin(x) 的频率,即 1/(2* pi)

# imports the numerical array and scientific computing packages
import numpy as np
import scipy as sp
from scipy.signal import spectral

# generates 100 evenly spaced points between 1 and 1000
time = np.linspace(1, 1000, 100)

# computes the sine value of each of those points
mags = np.sin(time)

# scales the sine values so that the mean is 0 and the variance is 1 (the documentation specifies that this must be done)
scaled_mags = (mags-mags.mean())/mags.std()

# generates 1000 frequencies between 0.01 and 1
freqs = np.linspace(0.01, 1, 1000)

# computes the Lomb Scargle Periodogram of the time and scaled magnitudes using each frequency as a guess
periodogram = spectral.lombscargle(time, scaled_mags, freqs)

# returns the inverse of the frequence (i.e. the period) of the largest periodogram value
print "1/2pi = " + str(1/(2*np.pi))
print "Frequency = " + str(freqs[np.argmax(periodogram)] / 2.0 / np.pi)

打印以下内容。没问题。我猜。我们将lombscargle结果除以的原因2pi是,我们需要将弧度转换为频率。(f = 弧度 / 2pi)

1/2pi = 0.159154943092
Frequency = 0.159154943092

但是,对于以下情况,事情似乎出了问题。

sin(2x) 的频率,即 1/(pi)

# imports the numerical array and scientific computing packages
import numpy as np
import scipy as sp
from scipy.signal import spectral

# generates 100 evenly spaced points between 1 and 1000
time = np.linspace(1, 1000, 100)

# computes the sine value of each of those points
mags = np.sin(2 * time)

# scales the sine values so that the mean is 0 and the variance is 1 (the documentation specifies that this must be done)
scaled_mags = (mags-mags.mean())/mags.std()

# generates 1000 frequencies between 0.01 and 1
freqs = np.linspace(0.01, 1, 1000)

# computes the Lomb Scargle Periodogram of the time and scaled magnitudes using each frequency as a guess
periodogram = spectral.lombscargle(time, scaled_mags, freqs)

# returns the inverse of the frequence (i.e. the period) of the largest periodogram value
print "1/pi = " + str(1/(np.pi))
print "Frequency = " + str(freqs[np.argmax(periodogram)] / 2.0 / np.pi)

正在打印以下内容。

1/pi = 0.318309886184
Frequency = 0.0780862900972

似乎不正确。我错过了什么步骤?

4

1 回答 1

10

您理所当然地期望峰值出现在1 / pi,但是您正在测试的最高频率是1 / 2 / pi……尝试以下单个更改:

freqs = linspace(0.01, 3, 3000)

现在输出是预期的:

1/pi = 0.318309886184
Frequency = 0.318311478264

但是请注意,如果您periodogram针对 进行绘图freqs / 2 / np.pi,则图形如下所示:

在此处输入图像描述

所以对于更复杂的信号,你不能仅仅依靠寻找max周期图来找到主频率,因为谐波可能会欺骗你。

于 2013-01-25T17:23:48.743 回答