UWB多正交脉冲波形的优化设计
发布时间：2019-04-29 08:01
【摘要】：人类现在已步入了信息化时代,通信技术对信息化进程起着重要的作用,然而影响通信技术发展的问题是频谱资源不足,超宽带(Ultra-Wideband,UWB)通信技术为解决频谱资源匮乏问题提供了一种新方法。由于超宽带脉冲波形设计与形成技术决定了频谱模板的利用率、通信系统的可靠性和能否与窄带通信系统共存,不同用户使用互为正交关系的脉冲能够降低多用户干扰和增大通信系统信道容量,因此设计出满足美国联邦通信委员会(Federal Communication Commission,FCC)颁布的频谱模板要求,并最大化频谱模板利用率的超宽带多正交脉冲有着至关重要的意义。本文使用非线性相位有限冲击响应(Finite Impulse Response,FIR)数字滤波器系数线性组合高斯系列基本脉冲函数设计超宽带多正交脉冲,在满足FCC颁布的频谱模板约束条件下最大化频谱模板利用率,其形成的数学模型类似于没有相位要求的FIR数字滤波器设计问题。由于该模型是非凸的,因此很难求解。针对该非凸模型难以求解问题,本文采用迭代椭圆误差约束l1范数最小化方法近似求解。本文主要贡献与创新如下:1.针对满足FCC频谱模板约束条件下最大化频谱模板利用率形成的非凸数学模型难以求解问题,本文采用迭代椭圆误差约束l1范数最小化,把非凸的问题转换为一系列凸子问题。给出了超宽带单脉冲脉冲设计新算法1。研究了不同基本信号(高斯函数的前15阶导函数)对设计出来的超宽带单脉冲频谱模板利用率的影响。研究结果表明高斯单周期脉冲,高斯二阶导函数脉冲作基本脉冲设计出来的超宽带单脉冲的频谱模板利用率比较高,更适合设计超宽带单脉冲。2.设计了超宽带多正交脉冲,适合在多用户环境下使用,避免了用户之间相互干扰。即在设计超宽带单脉冲的基础上加入不同脉冲之间相互正交的条件,形成的数学问题仍然是非凸的,采用相同的方法——迭代椭圆误差约束l1范数最小化,给出了设计超宽带多正交脉冲新算法2。利用高斯单周期函数和高斯二阶导函数做基本脉冲分别设计出15条超宽带多正交脉冲,与现有的结果比较发现,本文设计出来的超宽带脉冲频谱模板利用率大都有提高。
[Abstract]:Human has now entered the information age, communication technology plays an important role in the process of information, however, the problem affecting the development of communication technology is the lack of spectrum resources, ultra-wideband (Ultra-Wideband,). UWB) communication technology provides a new method to solve the problem of lack of spectrum resources. The ultra-wideband pulse waveform design and formation technology determines the utilization of spectrum template, the reliability of communication system and whether it can coexist with narrowband communication system. Different users use orthogonal pulses to reduce multi-user interference and increase the channel capacity of the communication system. Therefore, the spectrum template requirements issued by the Federal Communications Commission (Federal Communication Commission,FCC) are designed to meet the requirements of the spectrum template issued by the United States Federal Communications Commission (Federal Communication Commission,FCC). The ultra-wideband multi-orthogonal pulse, which maximizes the efficiency of spectrum template, is of great significance. In this paper, the nonlinear phase finite impulse response (Finite Impulse Response,FIR) digital filter coefficient linear combination Gao Si series basic pulse function is used to design ultra-wideband multi-orthogonal pulse. Under the constraint of spectrum template issued by FCC, the mathematical model of FIR digital filter is similar to that of FIR digital filter without phase requirement. Because the model is non-convex, it is difficult to solve. In this paper, the iterative elliptic error constraint L1 norm minimization method is used to solve the problem which is difficult to solve for this non-convex model. The main contributions and innovations of this paper are as follows: 1. It is difficult to solve the non-convex mathematical model of maximizing the efficiency of spectrum template under the constraint of FCC spectral template. In this paper, the iterative ellipse error constraint L1 norm is used to minimize the non-convex problem and the non-convex problem is transformed into a series of convex sub-problems. A new algorithm for ultra-wideband monopulse design is given in this paper. The effect of different basic signals (the first 15 derivative functions of Gao Si's function) on the spectral efficiency of ultra-wideband monopulse is studied. The results show that the ultra-wideband monopulse designed with Gao Si single-period pulse and Gao Si second-order derivative function pulse as the basic pulse has high spectral template efficiency, which is more suitable for the design of ultra-wideband monopulse. The ultra-wideband multi-orthogonal pulse is designed to be used in multi-user environment, and the interference between users is avoided. That is to say, on the basis of designing ultra-wideband monopulse, the condition of orthogonality between different pulses is added, and the mathematical problem is still non-convex. The same method-iterative ellipse error constraint L1 norm is used to minimize the problem. A new algorithm for designing ultra-wideband multi-orthogonal pulses is presented. Using Gao Si's one-period function and Gao Si's second-order derivative function as basic pulses, 15 UWB multi-orthogonal pulses are designed respectively. Compared with the existing results, it is found that the spectral template utilization of UWB pulses designed in this paper is mostly improved.
【学位授予单位】：杭州电子科技大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TN925
本文编号：2468097
[Abstract]:Human has now entered the information age, communication technology plays an important role in the process of information, however, the problem affecting the development of communication technology is the lack of spectrum resources, ultra-wideband (Ultra-Wideband,). UWB) communication technology provides a new method to solve the problem of lack of spectrum resources. The ultra-wideband pulse waveform design and formation technology determines the utilization of spectrum template, the reliability of communication system and whether it can coexist with narrowband communication system. Different users use orthogonal pulses to reduce multi-user interference and increase the channel capacity of the communication system. Therefore, the spectrum template requirements issued by the Federal Communications Commission (Federal Communication Commission,FCC) are designed to meet the requirements of the spectrum template issued by the United States Federal Communications Commission (Federal Communication Commission,FCC). The ultra-wideband multi-orthogonal pulse, which maximizes the efficiency of spectrum template, is of great significance. In this paper, the nonlinear phase finite impulse response (Finite Impulse Response,FIR) digital filter coefficient linear combination Gao Si series basic pulse function is used to design ultra-wideband multi-orthogonal pulse. Under the constraint of spectrum template issued by FCC, the mathematical model of FIR digital filter is similar to that of FIR digital filter without phase requirement. Because the model is non-convex, it is difficult to solve. In this paper, the iterative elliptic error constraint L1 norm minimization method is used to solve the problem which is difficult to solve for this non-convex model. The main contributions and innovations of this paper are as follows: 1. It is difficult to solve the non-convex mathematical model of maximizing the efficiency of spectrum template under the constraint of FCC spectral template. In this paper, the iterative ellipse error constraint L1 norm is used to minimize the non-convex problem and the non-convex problem is transformed into a series of convex sub-problems. A new algorithm for ultra-wideband monopulse design is given in this paper. The effect of different basic signals (the first 15 derivative functions of Gao Si's function) on the spectral efficiency of ultra-wideband monopulse is studied. The results show that the ultra-wideband monopulse designed with Gao Si single-period pulse and Gao Si second-order derivative function pulse as the basic pulse has high spectral template efficiency, which is more suitable for the design of ultra-wideband monopulse. The ultra-wideband multi-orthogonal pulse is designed to be used in multi-user environment, and the interference between users is avoided. That is to say, on the basis of designing ultra-wideband monopulse, the condition of orthogonality between different pulses is added, and the mathematical problem is still non-convex. The same method-iterative ellipse error constraint L1 norm is used to minimize the problem. A new algorithm for designing ultra-wideband multi-orthogonal pulses is presented. Using Gao Si's one-period function and Gao Si's second-order derivative function as basic pulses, 15 UWB multi-orthogonal pulses are designed respectively. Compared with the existing results, it is found that the spectral template utilization of UWB pulses designed in this paper is mostly improved.
【学位授予单位】：杭州电子科技大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TN925
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