基于Hermite函数的超宽带脉冲波形设计与性能分析  

Waveform Design and Performance Analysis of Ultra-wideband Pulse Based on Hermite Functions

作　　者：姜光兴[1] 朱洪波[1] 曹伟[1] 

机构地区：[1]南京邮电大学无线通信与电磁兼容实验室,南京210003

出　　处：《微波学报》2007年第2期9-13,共5页Journal of Microwaves

基　　金：国家自然科学基金重点项目(60432040);江苏省自然科学基金项目(BK2002031)

摘　　要：根据联邦通信委员会关于超宽带辐射功率谱的限制以及适用于多址方式的窄脉冲要求,设计了一组基于Hermite函数的超宽带脉冲波形。所设计的脉冲波形具有正交性和不随阶数变化的恒定脉宽两个重要特性,从而提供了良好的防时间抖动性能并有效降低符号间干扰;为了评估相关接收机的性能,对设计脉冲信号的自相关和互相关函数的闭合表达式进行了推导;分析了跳时脉位调制超宽带系统中脉冲波形在加性高斯白噪声、多址干扰、多径衰落信道等多种环境下的误码率性能,探讨了时间抖动对系统性能的影响,并将仿真结果与高斯单周期脉冲进行比较。分析结果表明该脉冲设计方案提供了一种灵活而系统的超宽带脉冲设计方法,所设计脉冲既满足辐射功率谱限制又提供良好的系统误码性能。According to the constraint of the power spectral emission of Federal Communications Commission （FCC） mask and the requirement of short pulse for multiple access, the paper presents the design of a class of pulses based on Hermite functions for UWB communications. The proposed pulses constitute orthogonal sets and have a constant pulse width regardless of the order, which are important properties since they can offer robustness against timing jitter and effectively reduce inter-symbol interference （ISI）. Closed form expressions of auto-and cross-correlation functions of the novel pulses are also given, which are used to evaluate the performance of the correlator receiver. Moreover, the bit error rate （BER） performance of the new pulses in pulse position modulated （PPM） time-hopping （TH） UWB systems are investigated under various channel conditions, including additive white Gaussian Noise （AWGN） channel, multiple access interference, and fading multipath channel. The effect of timing-jitter on the performance is also studied. The simulation results are compared with those using Gaussian monocycle. It is shown that the pulse design algorithm provides a flexible and systematic method for designing UWB pulses that both conform to spectral emission mask and offer good BER performance.

关 键 词：超宽带 脉冲设计 Hennite函数 误码率 多址 多径 

分 类 号：TN925[电子电信—通信与信息系统]