how to make a distorted noise effect on the screen/GUI

I’m just wondering to know how to make such a noise effect attached below from the video game: Remember Me!

my best guess is that it’s an alpha text with a specific random noise effect.

The easiest way to achieve that for a menu is to make a sprite animation with the noise frames and play them in loop over the menu text.

You could use an hand made alpha mask and have it scroll up.