Modulation recognition for hybrid carrier scheme based on weighted-type fractional Fourier transform

Communication system based on the weighted-type fractional Fourier transform (WFRFT) is a hybrid carrier (HC) scheme which is proposed recently. All current modulation recognition methods are aiming at recognizing single carrier (SC) scheme and multi-carrier (MC) scheme modulated signals, whereas, methods on the WFRFT signals are never seen. In this paper, we propose an idea for recognizing the WFRFT signals. Signals after the single parameter WFRFT, whose higher order cumulants vary with transform orders, present different magnitudes with different carrier schemes. We may recognize SC, HC and MC schemes according to the relationship between higher order cumulants and transform orders.