# Fourier transform of the magnitude of the fourier transformed signal

I've come to realize that the Fourier transform of an already Fourier transformed signal gives the time-reversal signal.

$$\mathcal F(\mathcal F(x(t)))=x(−t)$$

However, my question is, if Fourier transformation is applied to the magnitude of the Fourier transformed signal (excluding phase information), is there a way to interpret the returned signal?

$$\mathcal F\{|\mathcal F\{x\}|\}=?$$