Analysis and Implementation of Constellation Precoding System Based on Multiple Parameters Weighted-type Fractional Fourier Transform

Abstract

In view of the fact that there exists little research on the constellation characteristic of Multiple Parameters Weighted-type FRactional Fourier Transform (MP-WFRFT), a novel mathematical model based on constellation superposition is proposed. By analyzing the time domain and frequency domain components of the MP-WFRFT modulated signal, the quantitative and qualitative conclusions are provided, about the constellation splitting and Gaussian-like characteristics and the constellation precoding system is built based on MP-WFRFT. The related mixed integer optimization model is put forward and the Genetic Algorithm (GA) is used to solute the optimization, Then the desired MP-WFRFT-based precoding system is obtained. The simulation results demonstrate that the proposed constellation superposition model and its corresponding optimization model are correct. Besides, the tests obtained on USRP platforms also show that the constellation precoding system based on MP-WFRFT is practical.