【摘要】：人類現(xiàn)在已步入了信息化時(shí)代,通信技術(shù)對(duì)信息化進(jìn)程起著重要的作用,然而影響通信技術(shù)發(fā)展的問(wèn)題是頻譜資源不足,超寬帶(Ultra-Wideband,UWB)通信技術(shù)為解決頻譜資源匱乏問(wèn)題提供了一種新方法。由于超寬帶脈沖波形設(shè)計(jì)與形成技術(shù)決定了頻譜模板的利用率、通信系統(tǒng)的可靠性和能否與窄帶通信系統(tǒng)共存,不同用戶使用互為正交關(guān)系的脈沖能夠降低多用戶干擾和增大通信系統(tǒng)信道容量,因此設(shè)計(jì)出滿足美國(guó)聯(lián)邦通信委員會(huì)(Federal Communication Commission,FCC)頒布的頻譜模板要求,并最大化頻譜模板利用率的超寬帶多正交脈沖有著至關(guān)重要的意義。本文使用非線性相位有限沖擊響應(yīng)(Finite Impulse Response,FIR)數(shù)字濾波器系數(shù)線性組合高斯系列基本脈沖函數(shù)設(shè)計(jì)超寬帶多正交脈沖,在滿足FCC頒布的頻譜模板約束條件下最大化頻譜模板利用率,其形成的數(shù)學(xué)模型類似于沒(méi)有相位要求的FIR數(shù)字濾波器設(shè)計(jì)問(wèn)題。由于該模型是非凸的,因此很難求解。針對(duì)該非凸模型難以求解問(wèn)題,本文采用迭代橢圓誤差約束l1范數(shù)最小化方法近似求解。本文主要貢獻(xiàn)與創(chuàng)新如下:1.針對(duì)滿足FCC頻譜模板約束條件下最大化頻譜模板利用率形成的非凸數(shù)學(xué)模型難以求解問(wèn)題,本文采用迭代橢圓誤差約束l1范數(shù)最小化,把非凸的問(wèn)題轉(zhuǎn)換為一系列凸子問(wèn)題。給出了超寬帶單脈沖脈沖設(shè)計(jì)新算法1。研究了不同基本信號(hào)(高斯函數(shù)的前15階導(dǎo)函數(shù))對(duì)設(shè)計(jì)出來(lái)的超寬帶單脈沖頻譜模板利用率的影響。研究結(jié)果表明高斯單周期脈沖,高斯二階導(dǎo)函數(shù)脈沖作基本脈沖設(shè)計(jì)出來(lái)的超寬帶單脈沖的頻譜模板利用率比較高,更適合設(shè)計(jì)超寬帶單脈沖。2.設(shè)計(jì)了超寬帶多正交脈沖,適合在多用戶環(huán)境下使用,避免了用戶之間相互干擾。即在設(shè)計(jì)超寬帶單脈沖的基礎(chǔ)上加入不同脈沖之間相互正交的條件,形成的數(shù)學(xué)問(wèn)題仍然是非凸的,采用相同的方法——迭代橢圓誤差約束l1范數(shù)最小化,給出了設(shè)計(jì)超寬帶多正交脈沖新算法2。利用高斯單周期函數(shù)和高斯二階導(dǎo)函數(shù)做基本脈沖分別設(shè)計(jì)出15條超寬帶多正交脈沖,與現(xiàn)有的結(jié)果比較發(fā)現(xiàn),本文設(shè)計(jì)出來(lái)的超寬帶脈沖頻譜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.
【學(xué)位授予單位】：杭州電子科技大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：TN925

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