Sorry to hear about that. I hate to be the bearer of even more bad news but I don't think there is any chance of you being able to get that back. You can sign up again but I think sooner or later Google will track you down. Here are alternatives to Google adsense that you can consider:

Clicksor
Adbrite
Bidvertiser
Chitika
Text Link Ads
Yahoo! Publisher Network

Hope this helps!

Once your Adsense is banned, you can't get it back. Move on. There are so many other ways to make money online. There are also a lot of posts here about people getting their Adsense banned. Do a search.

Your banned account can't be recovered but I think you should find out the reason of baning your account and then crate a new account and don't make the previous mistake.