Interpreting jTransform FFT results

本小妞迷上赌 提交于 2019-12-13 05:41:16

问题


I'm using Jtransforms java library to perform analysis on a give dataset.

An example of the data is as follows: 980,988,1160,1080,928,1068,1156,1152,1176,1264

I'm using the DoubleFFT_1D funtion in jTransforms. The data output is as follows: 10952, -152, 80.052, 379.936, -307.691, 12.734, -224.052, 427.607, -48.308, 81.472

I'm having trouble interpreting the output. I understand that the first element in the output array is the total of the 10 inputs (10952). It's the other elements of the output array that i don't understand. Ultimately, I want to plot the Power Spectral Density of the input data on a graph and find amounts between 0 and .5 Hz.

The documentation for the jTransform functions states:

(where a is the data set) .....................

realForward

public void realForward(double[] a)Computes 1D forward DFT of real data leaving the result in a . The physical layout of the output data is as follows:

if n is even then

a[2*k] = Re[k], 0 <= k < n / 2

a[2*k+1] = Im[k], 0 < k < n / 2

a[1] = Re[n/2]

if n is odd then

a[2*k] = Re[k], 0 <= k < (n+1)/2

a[2*k+1] = Im[k], 0 < k< (n-1)/2

a[1] = Im[(n-1)/2]

This method computes only half of the elements of the real transform. The other half satisfies the symmetry condition. If you want the full real forward transform, use realForwardFull. To get back the original data, use realInverse on the output of this method.

Parameters: a - data to transform ..................................

So what are the output numbers? What do the values mean? Any help is appreciated.

来源:https://stackoverflow.com/questions/4996747/interpreting-jtransform-fft-results

易学教程内所有资源均来自网络或用户发布的内容,如有违反法律规定的内容欢迎反馈
该文章没有解决你所遇到的问题?点击提问,说说你的问题,让更多的人一起探讨吧!