Design of orthogonal phase encoding for basis function based on genetic algorithm

Abstract

A new basis function generation algorithm based on genetic algorithm is proposed to overcome the drawbacks of the traditional basis function phase encoding algorithm in transform domain communication system (TDCS). Firstly, by analysing the requirements and the characteristics of basis function in TDCS, the evaluation criterion of basis function is presented, and the corresponding genetic algorithm is designed according to the criterion. Then, the algorithm is used to generate the orthogonal basis function set. The proposed algorithm not only improves the correlation performance and randomness of basis function, but also improves the system multiple access performance and security. Furthermore, the length and quantity of the basis functions can be flexibly selected and the system's applicability is improved. By analysing the simulation results, the feasibility and validity of the algorithm are verified.