Systems and methods for concurrent wireless power transfer and data transmission are provided. A constraint encoder receives data bits for communication to a mobile device and encodes the data bits onto a transmit signal. The constraint encoder specifies signal constraints that cause the transmit signal to have a peak-to-power-average ratio (PAPR) during a given time interval sufficient to provide wireless power transfer to the mobile device. The system also includes a signal generator coupled to the constraint encoder. The signal generator generates the transmit signal according to the signal constraints. The system further includes a transmitter coil that is coupled to the signal generator. The transmitter coil is configured to transmit the transmit signal that has been encoded with the data bits to receiver coils of the mobile device. The encoded transmit signal is able to provide wireless power transfer and the encoded data bits to the mobile device.