论文部分内容阅读
本文由四项加权分数Fourier变换的原始定义出发,通过对加权系数矩阵的研究,揭示了加权系数与被加权函数之间的关系,并给出加权系数的多参数表达形式.在此基础上,定义了离散序列的四项加权分数Fourier变换,使其适用于数字通信系统.根据四项加权分数Fourier变换的特性,提出一种基于该变换的调制/解调方法.该方法能够使调制后信号在时域及频域上实部与虚部的统计特性、相位特性发生明显的变化,这一变化可以通过变换参数的调整进行控制.将四项加权分数Fourier变换调整为多参数对信号进行处理,对比单参数处理方法,信号具有更好的抗截获特性.
Based on the original definitions of four weighted fractional Fourier transforms, this paper reveals the relationship between weighted coefficients and weighted functions through the study of weighted coefficient matrixes, and gives the multi-parameter expression form of weighted coefficients.On this basis, According to the characteristics of the four weighted fractional Fourier transforms, a modulation / demodulation method based on the transform is proposed, which can make the modulated signal In the time domain and frequency domain, the statistical properties and the phase characteristics of the real and imaginary parts change obviously, and this change can be controlled by the adjustment of the transformation parameters. The four weighted fractional Fourier transforms are adjusted to multi-parameters to process the signals , Compared with the single parameter processing method, the signal has better anti-interception characteristics.