### Discrete Fourier Transform using FFTW library

I was trying to understand how to use fftw library in my software because it was recommended by people and some of my colleague also use this library. This library is known to be the fastest FFT library. Well, that is one of the reason why I choose this and the other reason is because I don't want to build my own FFT function which might be full of bug and unstable. Therefore I prefer using this library instead.

It's quite straight away. Depends on your platform, the suitable package is available in the fftw website. I'm using Windows so I have to follow this guide for installing and using the library. I don't need to explain it here, it's very clear in the website, if you have any problem just send email to me.

There are four basic steps that we have to do when using fftw. I got several good examples for using fftw, one of them is this one. Here I will explain how it works.

1. Variables declaration.

//fft data window

int n=512;

//the complex value for storing the input values and output values

fftw_complex* b1 = (fftw_complex*)fftw_malloc(sizeof(fftw_complex)*n);

fftw_complex* b2 = (fftw_complex*)fftw_malloc(sizeof(fftw_complex)*n);

2. Declaring FFT plan

//create a forward fft plan from b1 into b2

fftw_plan p1 = fftw_plan_dft_1d(n, b1, b2, FFTW_FORWARD, FFTW_ESTIMATE);

3. Fill the data into the input array. The arrangement of the complex data is [real][imaginary] So for example for the first data of b1, b1[0][0] is the real part and b[0][1] is the imaginary part and so on.

4. Perform FFT by executing the plan

//executing fftw plan

fftw_execute(p1);

5. Draw the spectrum (if needed). The spectrum is can be obtained from the first n/2 of the data. So we can draw the spectrum by calculating the magnitude.

for (i=0; i < mag =" sqrt(pow(b2[i][0],2)">

6. After finished using the fftw, the library needs to be released from the memory.

//destroy the plan

fftw_destroy_plan(p1);

//destroy the variables

fftw_free(b1);

fftw_free(b2);

Example of the signal that I tried, it's a superposition of two sine waves with different frequencies.

and the result that I obtained after performing FFT is:

That's it, it works with me. Hope it will be useful for you.

Labels: borland c++ builder, fft, work

## 3 Comments:

Good brief and this post helped me alot in my college assignement. Thank you for your information.

By Anonymous, at June 13, 2010 at 5:19 AM

you're welcome :)

By mario, at June 13, 2010 at 7:45 AM

Anyway you can clarify part five?

How do you get a spectrum analyser like the frequency domain fig?

Do you analyse only the real data? (not the imaginary?)

I'm stumped at how to turn the FFT results into one of those graphs.

Tia,

By Miguel, at August 27, 2010 at 10:41 AM

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