Research on Constellation-Splitting Criterion in Multiple Parameters WFRFT Modulations

Abstract

We present a novel constellation-splitting criterion in the multiple parameters weighted-type fractional Fourier transform (MP-WFRFT) modulations. First, the signal superposition characteristics are studied and the related four theorems are put forward and proved. Second, to get the expected constellation pattern, we build the optimization model with the defined constraints. Then, the genetic algorithm is adopted to optimize the designed model. Finally, numerical results are presented to validate the proposed theorems, and the bit error rate performance shows that the MP-WFRFT can be utilized to guarantee the communication security.