超宽带脉冲波形的设计优化与性能分析

The Optimization of Waveform Design and Analysis on Ultra-Wideband Pulse

本文在研究高斯函数及其各阶导函数构成的窄脉冲信号,三角包络、高斯包络以及升余弦包络窄脉冲信号的时域波形及其单边带能量谱密度的基础上,给出脉冲形状对超宽带能量谱密度的影响.推导出n阶高斯脉冲函数的傅立叶变换公式,得出峰值频率与脉冲形成因子α和阶数n之间的函数关系.推导出改进的n阶Hermite脉冲函数和n阶高斯脉冲函数的相关函数,画出它们的自相关特性曲线.优化了超宽带脉冲波形设计的方法,以提高超宽带无线通信系统的性能.

In this paper,researched pulse waveform designed by Gaussian and the n derivatives gaussian function,Triangular envelope,Gaussian envelope and Raised Cosine narrow pulse.Studied their Time-domain waveform and single-sided energy spectral density.UWB pulse shape was given to the impact of the energy spectral density.Presents the design of a class of pulses based on Hermite functions for UWB communications.Closed fonn expressions ol auto and cross correlation functions of the n derivatives gaussian and n derivatives,novel pulses were also given.The optimization of waveform design to improve the performance of UWB system.