Relation between the peak to average power ratio and Doppler sidelobes of the multi-carrier radar signal

The performance of the multi-carrier radar signal is investigated using the ambiguity function. The multi-carrier waveform under consideration is modulated by random phase coding, with the intention to combine radar and communications and at the same time solve the Doppler ambiguity. The connection between the instantaneous power of the waveform and the Doppler sidelobes of the ambiguity function are explored. The variance of the Doppler sidelobes, which arises from the random phase coding of the carriers, is connected to the peak to average power ratio of the waveform.