【摘要】：本文提出了一個(gè)同時(shí)使用電磁波幅度、相位、輔助極化角和極化相位差異角來(lái)攜帶信息的四維無(wú)線調(diào)制解調(diào)器。借助于空間電磁源入射矢量天線的電磁場(chǎng)信號(hào)表達(dá)式,我們描述了利用矢量天線調(diào)制、解調(diào)空間電磁波四維參數(shù)的基本原理。在系統(tǒng)的發(fā)送端(即調(diào)制端),我們根據(jù)空間中線形與環(huán)形天線通電后的電磁場(chǎng)分布,推導(dǎo)了利用矢量天線中電、磁偶極子來(lái)產(chǎn)生含四維調(diào)制參數(shù)信號(hào)的方法。并分別討論了單用戶(hù)和多用戶(hù)情況下發(fā)送端的具體實(shí)現(xiàn)方式。對(duì)于接收端(即解調(diào)端),我們給出了以矢量天線(或其陣列)為載體、幾何代數(shù)為數(shù)學(xué)工具進(jìn)行參數(shù)解調(diào)的方法。四維調(diào)制信號(hào)的解調(diào)過(guò)程需要首先對(duì)接收到的電磁場(chǎng)信號(hào)進(jìn)行波達(dá)方向(DOA)估計(jì)。由于幾何代數(shù)模型下的DOA參數(shù)估計(jì)方法在復(fù)雜度、性能以及數(shù)據(jù)存儲(chǔ)空間方面較其它算法具有優(yōu)勢(shì),故本文將分別使用幾何代數(shù)模型下的最優(yōu)加權(quán)內(nèi)積算法與多重信號(hào)分離算法來(lái)估計(jì)單用戶(hù)和多用戶(hù)場(chǎng)景下接收信號(hào)的DOA參數(shù)。在獲得了四維調(diào)制信號(hào)的DOA參數(shù)后,接收端將通過(guò)最小二乘算法來(lái)估計(jì)各個(gè)調(diào)制參數(shù)以實(shí)現(xiàn)四維解調(diào)過(guò)程。本文從理論上推導(dǎo)了單用戶(hù)和多用戶(hù)場(chǎng)景下四維無(wú)線調(diào)制解調(diào)器的誤符號(hào)率,并用仿真加以了驗(yàn)證。理論分析與仿真結(jié)果均表明：本文提出的四維無(wú)線調(diào)制解調(diào)器較傳統(tǒng)調(diào)制解調(diào)器具有更高的傳輸速率和更低的誤符號(hào)率。為了提升四維無(wú)線調(diào)制解調(diào)器的完善性,本文還提出了一種基于格理論來(lái)構(gòu)造高維星座圖的方法。星座圖的增益指數(shù)是格理論中的一個(gè)術(shù)語(yǔ),它可以分解成格的編碼增益和星座圖邊界的成形增益。本文將最大化星座圖增益指數(shù)的過(guò)程構(gòu)造為一系列優(yōu)化問(wèn)題,并將星座圖的幾何特性作為優(yōu)化問(wèn)題的約束條件。由于可通過(guò)求解優(yōu)化問(wèn)題來(lái)得到所需的星座圖,因此本文的方法可以作為一種構(gòu)造高維星座圖的通用方法。相比現(xiàn)有算法均只適用于星座點(diǎn)個(gè)數(shù)較少的情況,本文方法可以簡(jiǎn)便地構(gòu)造星座點(diǎn)數(shù)目較大的高維星座圖。仿真結(jié)果顯示出：在星座點(diǎn)數(shù)目較少時(shí),由本文方法所構(gòu)造的星座圖的誤符號(hào)率性能與最優(yōu)值十分接近；而當(dāng)星座點(diǎn)數(shù)目較多時(shí),本文構(gòu)造的星座圖較傳統(tǒng)基于整數(shù)格的星座圖具有更低的誤符號(hào)率。
[Abstract]:This paper presents a four-dimensional wireless modem which uses the amplitude, phase, auxiliary polarization angle and polarization phase difference angle of the electromagnetic wave simultaneously to carry information. By means of the expression of electromagnetic field signal of space electromagnetic source incident vector antenna, we describe the basic principle of modulating and demodulating four dimensional parameters of space electromagnetic wave by vector antenna. Based on the electromagnetic field distribution of linear and annular antennas in space, a method of generating four-dimensional modulated parameter signals by using electric and magnetic dipoles in vector antennas is derived. The implementation of single-user and multi-user senders is discussed respectively. For the receiver (demodulator), we present a method of parameter demodulation using vector antenna (or its array) as carrier and geometric algebra as mathematical tool. The demodulation process of four dimensional modulation signal requires the (DOA) estimation of the received electromagnetic field signal. The DOA parameter estimation method based on geometric algebraic model has advantages over other algorithms in terms of complexity, performance and data storage space. Therefore, in this paper, the optimal weighted inner product algorithm and the multiple signal separation algorithm are used to estimate the DOA parameters of the received signals in single-user and multi-user scenarios, respectively. After obtaining the DOA parameters of the four-dimensional modulation signal, the receiver will estimate the modulation parameters by using the least square algorithm to realize the four-dimensional demodulation process. In this paper, the symbol error rate of four-dimensional wireless modem in single-user and multi-user scenarios is derived theoretically and verified by simulation. The theoretical analysis and simulation results show that the proposed four-dimensional wireless modem has higher transmission rate and lower symbol error rate than the traditional modem. In order to improve the perfection of four-dimensional wireless modem, a method of constructing high-dimensional constellation diagram based on lattice theory is proposed. The gain exponent of constellation graph is a term in lattice theory. It can be decomposed into the coding gain of lattice and the shaping gain of constellation graph boundary. In this paper, the process of maximizing the gain exponent of constellation graph is constructed as a series of optimization problems, and the geometric properties of the constellation graph are taken as the constraints of the optimization problem. Because the required constellation graph can be obtained by solving the optimization problem, the method in this paper can be used as a general method to construct the high-dimensional constellation graph. Compared with the existing algorithms, this method can easily construct the high-dimensional constellation graph with a large number of constellation points. The simulation results show that when the number of constellation points is small, the symbol error rate performance of the constellation diagram constructed by this method is very close to the optimal value, but when the number of constellation points is large, The constellation graph constructed in this paper has lower symbol error rate than the traditional constellation diagram based on integer lattice.
【學(xué)位授予單位】：復(fù)旦大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2014
【分類(lèi)號(hào)】：TN915.05

【參考文獻(xiàn)】

相關(guān)期刊論文 前1條

1 ;A Weighted Inner Product Estimator in the Geometric Algebra of Euclidean 3-Space for Source Localization Using an EM Vector-sensor[J];Chinese Journal of Aeronautics;2012年01期

相關(guān)博士學(xué)位論文 前1條

1 宋漢斌;三維調(diào)制解調(diào)器的理論研究[D];復(fù)旦大學(xué);2012年

相關(guān)碩士學(xué)位論文 前1條

1 蔣景飛;幾何代數(shù)模型矢量天線陣列信號(hào)的方法及應(yīng)用[D];復(fù)旦大學(xué);2011年

，

本文編號(hào)：2165916