X,Y数据的傅立叶变换(Python)

时间:2018-02-12 07:58:18

标签: python numpy fft

我目前正在尝试傅里叶变换激光光谱。 原始数据是文本文件格式,我使用numpy导入数据。

由于数据是针对激光光谱的,因此X值是激光的波长,Y值代表激光的强度。

使用下面的代码,我将激光光谱绘制为

import numpy as np
import matplotlib.pyplot as plt
from pylab import genfromtxt
from matplotlib import pyplot

filelist = []
time = [0.00,-1.33,-2.67,-4.00,-5.33,-6.67]
offset = 0

index = 0

filelist.append("0.SSM")

for i in range (1,6):
    filelist.append("-%s00.SSM" %i)

for fname in filelist:
    data = np.genfromtxt(fname, delimiter='  ',unpack=True,skip_header=2)
    X=data[0,:]
    Y=data[1,:]
    offset = offset + 500
    plt.plot(X,Y+offset,label=str(time[index])+'ps')
    index=index+1
    plt.xlim([759,850])
    axes=plt.gca

pyplot.title("Laser Spectrum of Both Pumps with Negative Time Delay(Pump 1 = 796nm, Pump 2 = 804nm)")
plt.xlabel("Wavelength[nm]")
plt.ylabel("Counts[arb.unit]")
plt.legend(loc='best')
plt.savefig('796and804nmminus')
plt.show()

这就是我的激光光谱的样子。 enter image description here

这里的问题是当我尝试傅里叶变换这个图时。 我傅里叶变换了Y值并手动将X值(波长)转换为时间。 (通过使用电磁波的波长 - 频率关系)

我认为我处理X值的方式是错误的,因为它不是从0开始。当它们保存在数组中时,有没有办法根据X值对Y值进行傅里叶变换?

我用于傅立叶变换的代码如下。 由于这是试运行,因此只使用了一个文本文件来存储数据。

import numpy as np
import matplotlib.pyplot as plt
from pylab import genfromtxt
from matplotlib import pyplot

filelist = []
from scipy.fftpack import fft, ifft,rfft

sol = 299792458.00 #this is the speed of light in m/s


time = [0.00]

offset = 0

index = 0

filelist.append("0.SSM")

# for i in range (1,6):
#     filelist.append("-%s00.SSM" %i)

for fname in filelist:
    data = np.genfromtxt(fname, delimiter='  ',unpack=True,skip_header=2)
    X=data[0,:]
    F=sol/X
    Y=data[1,:]
    Z1=rfft(Y)

    time1 = (1/F)*10**6

    plt.plot(time1,Z1,label=str(time[index])+'ps')
    index=index+1
    plt.xlim([2.2,2.5])
    axes=plt.gca

pyplot.title("Laser Spectrum of Both Pumps with Negative Time Delay(Pump 1 = 796nm, Pump 2 = 804nm)")
plt.xlabel("Time[ms]")
plt.ylabel("Counts[arb.unit]")
plt.legend(loc='best')
plt.savefig('796and804nmminus')
plt.show()

这就是我的"傅里叶变换"(至少我认为英国“金融时报”工作)图表的样子。

enter image description here

我的数学知识和编程知识都有点不稳定,所以非常感谢任何帮助/建议。

顺便说一句,这就是我的数据文件的样子

" File: Sabrina\20171212\796and804\0.SSM
" SCOPE->  Wave:814.54nm  Pix:1050  Val:225.600  Time:5ms  Avg:5  Sm:1  Sg:0  Tc:off  Z Y  Xt:1  Ch:1 
 688.00  2.113E+002
 688.25  2.093E+002
 688.50  2.116E+002
 688.75  2.166E+002
 689.00  2.125E+002
 689.25  2.130E+002
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 689.75  2.139E+002
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 690.25  2.128E+002
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 929.75  4.606E+001

0 个答案:

没有答案