Convert fft to .wav file

I want to convert a fft of a geophysical signal to an audible signal or .wav file. The fft has frequency amplitude and phase, all the needed ingredients it seems for a sound. What is the code for the conversion? (I can deal with the frequency shift to an audible frequency range). Thanks.

[Mathieu NOE]

hello

what you need is to use ifft

[Tim Garrett]

Thanks. And then what? All the references I can find are for converting a .wav file to a fft not the reverse.

[Mathieu NOE]

well, fft and ifft are the basic tools to go from time domain to frequency domain and vice versa

wav is just an audio file format and has no relationship to fft / ifft

you should probably focus your research on how to generate a time signal from a PSD / fft spectrum, but you will surely land again in inverse fft

Recover time-domain signals by performing inverse short-time, fast Fourier transform (FFT) - Simulink - MathWorks France

[Tim Garrett]

I understand the above points. Except that an audio signal is fundamentally a tone that has the information contained in an fft, specifically amplitude, phase, and frequency. I imagine I use some combination of audiowrite and sound, but I'm not sure, in particular on the point of what the nature of the input should be. From audiowrite:

writes data Y to an audio file specified by the file name FILENAME, with a sample rate of FS Hz.

What is the nature of the data Y? It sounds like it isn't an fft. Is it just a time series of some periodic function?

[Mathieu NOE]

an audio signal can be evrything from a fixed frequency sinus to purely random noise (or colored noise if we add some filtering). the sound of the ocean is closer to a random noise than a tone for example.

if you look at the frequency content of a music file , it changes all the time, there is not much periodicity there - unless you listen to some very specific electronic music (with a looper)

audiowrite is just a way to save your time data (your music, your voice ) into a specific format (wav is just one of them)

it does not do anything in terms of fft or ifft - again this is a completely separate topic.