基于傅里叶变换的非正弦时域正交调制系统实现方法

发布时间：2018-03-03 16:48

本文选题：非正弦时域正交调制　切入点：椭圆球面波函数　出处：《上海交通大学学报》2014年10期 　论文类型：期刊论文

【摘要】：针对基于椭圆球面波函数(PSWF)的非正弦时域正交调制系统在硬件实现时遇到的PSWF实时产生困难、系统实现复杂度高等问题,从PSWF的傅里叶级数展开形式出发,分析研究了其正余弦展开形式及展开项系数与脉冲信号能量和脉冲间正交性的关系.在此基础上,理论推导了基于离散傅里叶逆变换(IDFT)的非正弦时域正交调制方法和基于离散傅里叶变换(DFT)的解调方法,并给出了基于快速傅里叶(逆)变换(FFTIFFT)的调制和解调方法.该方法将成熟的傅里叶变换技术运用到非正弦系统的实现上,建立了非正弦系统实现与离散傅里叶(逆)变换之间的联系,为非正弦系统的研究提供了一种新思路.
[Abstract]:In view of the difficulty of PSWF real-time realization and the high complexity of system realization in non-sinusoidal time-domain quadrature modulation system based on elliptic spherical wave function (PSWF), this paper starts from the Fourier series expansion of PSWF. The relationship between the form of sine cosine expansion and the coefficient of expansion term, the energy of pulse signal and the orthogonality of pulse are analyzed and studied. The non-sinusoidal time domain quadrature modulation method based on inverse discrete Fourier transform (IDFT) and the demodulation method based on discrete Fourier transform (DFT) are derived theoretically. A method of modulation and demodulation based on Fast Fourier transform (inverse) FFTIFFTis presented, in which the mature Fourier transform technique is applied to the realization of non-sinusoidal system. The relationship between the realization of the non-sinusoidal system and the discrete Fourier transform (DFT) is established, which provides a new idea for the study of the non-sinusoidal system.
【作者单位】：海军航空工程学院电子信息工程系;海军航空工程学院信号与信息处理山东省重点实验室;
【基金】：国家自然科学基金资助项目(61179018) 山东省"泰山学者"建设工程专项经费项目(ts20081130)
【分类号】：TN911.3

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