In an ad hoc peer-to-peer communication network between wireless devices, a high priory first receiver device is configured to perform successive interference cancellation (SIC). The first receiver device sends a first rate report signal and a second rate report signal to a first transmitter device indicating a first and second transmission rates. A connection is established between the first transmitter device and the first receiver device in which the first receiver device is the intended receiver of traffic signals from the first transmitter device. The first receiver device receives a traffic signal in a subsequent traffic channel, the traffic signal including a first traffic signal from the first transmitter device having a first traffic transmission rate not exceeding the first transmission rate. The received traffic signal also includes a second traffic signal transmitted by an interfering second transmitter device having a second traffic transmission rate not exceeding the second transmission rate.