基于跳频的改进加权分数阶傅里叶变换

Improved weighted fractional Fourier transform based on frequency hopping

为提高4项加权分数阶傅里叶变换(WFRFT)的安全性能,提出了一种基于跳频的改进加权分数阶傅里叶变换.通过子载波跳频的方法打乱传统WFRFT中离散傅里叶变换(DFT)矩阵列的顺序,从而使加权傅里叶变换矩阵的周期以及加权系数的周期在跳频序列的影响下呈现多样性,提高其抗截获的性能.仿真结果表明:改进后的FH-WFRFT能够在参数信息被窃听方获取的情况下保护传输信息的安全,相比传统的WFRFT具有更好的抗截获性能.

To enhance the security performance of 4-WFRFT (weighted fractional Fourier transform),an improved WFRFT based on frequency hopping was proposed.The subcarrier frequency hopping was adopted to disorder the original column order of discrete Fourier transform (DFT) matrix in WFRFT.The period of the WFRFT matrix and the weighted coefficients were affected by the frequency hopping sequences and were processed with diversity,which improved its anti-interception ability.Simulation results show that the improved WFRFT based on this method can keep the transmitted information secured when the parameter is acquired by the eavesdropper.Compared with the traditional WFRFT,the improved WFRFT based on frequency hopping preforms better in anti-interception.