Battlefield 3 Punk buster ban
Solution 1:
Punkbuster uses UUID (Universally unique identifier) and the bans are HWID (Hardware ID) bans. In practice, this means that the hardware inside your PC is banned. Not your IP or account. However, what Punkbuster looks for and how it operates is something that it's developer Even Balance has not been public about. Therefore answering your question, you will have to use another PC, but not necessarily another IP.
This is based of information that I sourced from Wikipedia1, Wikipedia2