在MATLAB中计算FFT图下的面积 [英] Calculate area under FFT graph in MATLAB

问题描述

目前我对一组数据进行了 FFT，这给了我一个在 x 轴上有频率、在 y 轴上有振幅的图.我想计算图表下的面积来给我能量.

Currently I did a FFT of a set of data which gives me a plot with frequency at x axis and amplitude at y axis. I would like to calculate the area under the graph to give me the energy.

我不知道如何确定面积，因为我没有方程，而且我只想要图的某个区域，而不是图下的整个区域.有什么办法可以做到吗?

I am not sure how to determinate the area because I am without the equation and also I only want a certain area of the plot rather than whole area under the plot. Is there a way I can do it?

推荐答案

使用 Matlab 进行数值集成的方法有很多.下面是一个例子:

There are many ways to do numerical integration with Matlab. Here is an example:

%# create some data
x = linspace(0,pi/2,100); %# 100 equally spaced points between 0 and pi/2
y = sin(x);

%# integrate using trapz, which calculates the area in the trapezoid defined by 
%# x(k),x(k+1),y(k),y(k+1) for k=1:length(x)
integral = trapz(x,y);

%# if you only want to integrate part of the data, do
partialIntegral = trapz(x(10:20),y(10:20));

%# show the integrated area
figure, 
area(x,y); 
hold on, 
area(x(10:20),y(10:20),'FaceColor','red')

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