A method for communication includes receiving a Radio Frequency (RF) channel containing a desired signal conforming to a first air interface and an interfering signal conforming to a second air interface. A first receiver configured for the first air interface and a second receiver configured for the second air interface are synchronized to a common frequency and timing reference. While the first and second receivers are synchronized, the desired signal is decoded from the RF channel using the first receiver to generate a first output, the interfering signal is decoded from the RF channel using the second receiver to generate a second output, and the desired signal is reconstructed while suppressing the interfering signal by jointly processing the first and second outputs.