WFRFT modulation recognition based on HOC and optimal order searching algorithm

A hybrid carrier (HC) scheme based on weighted-type fractional Fourier transform (WFRFT) has been proposed recently. While most of the works focus on HC scheme's inherent characteristics, little attention is paid to the WFRFT modulation recognition. In this paper, a new theory is provided to recognize the WFRFT modulation based on higher order cumulants (HOC). First, it is deduced that the optimal WFRFT received order can be obtained through the minimization of 4th-order cumulants, C₄₂. Then, a combinatorial searching algorithm is designed to minimize C₄₂. Finally, simulation results show that the designed scheme has a high recognition rate and the combinatorial searching algorithm is effective and reliable.