Generate different types of audio-noise

Given a general shape of a intensity-frequency relationship, I want to be able to generate a corresponding noise .wav file. Is there a way of doing this?

I would then like to produce similar graphs for audiofiles I have recorded.

EDIT: How do I change the PSD of noise?

Thank you very much.

[Mathieu NOE]

hi

filter white noise to shape its PSD the way you want it

[Rowan Humphreys]

Hi Mathieu - how does one shape a PSD?

[Mathieu NOE]

Hello Rowan

see the magnitude vs frequency shape - use that to create a FIR or IIR filter using invfreqs or invfreqz, then pass a white noise (random numbers) into that "shaping" filter and you're done !

Answer 1

[Eamon Gekakis]

audiowrite might be a good solution here.

[Rowan Humphreys]

Thanks Eamon, I have been using that to save the files. I meant more specifically how do you shape the PSD of the noise?

[Eamon Gekakis]

Generally, a transfer function or filter stack will be used to "shape" the PSD data from my understanding, a combination of peak filters, bandpass filters, notches, etc.

This may be a useful write-up on matlab filter design, using the designfilt signal processing toolbox function.

The Transfer Function matlab function may also be usefil here.