Since its resurgence into the popular scene, Street Fighter has appeared on quite a few consoles, including the PS3 and even the iPhone. However, it's never appeared on the Nintendo Wii with many believing it's just not technically capable.
Yoshinori Ono, Street Fighter IV's creator, has dispelled that myth, but has also said that a version on the Wii could never compete with the new version on the 3DS:
"Technically speaking of course, it's probably possible to port it to the Wii but it would just be a port," he said.
"3D Edition isn't just a port. It can only be done on the Nintendo 3DS and nothing else. Porting it to the Wii now would lack that, given enough time we could but the whole point is that you can play it anywhere and everything is in your hands" he went on to explain.
In other words, you won't be seeing Street Fighter on the Nintendo Wii.