A system for processing signals includes an interference cancellation component that samples an RF transmit signal, transforms the sampled RF transmit signal into a self-interference cancellation signal, and combines the sampled RF transmit signal and self-interference cancellation signal to remove a first portion of interference from the RF receive signal, the combination forming a processed RF signal; and a filtering component that removes a second portion of interference from the processed signal by downconverting the processed RF signal to a processed baseband signal, sampling the processed baseband signal to create a processed digital signal, and filtering the processed digital signal to remove the second portion of interference.