【摘要】：波達(dá)方向(Direction-of-Arrival,DOA)估計(jì)作為陣列信號(hào)處理中的重要組成部分,在雷達(dá)、無(wú)線通信、生物探測(cè)等領(lǐng)域得到了廣泛應(yīng)用。在DOA估計(jì)所采用的陣列結(jié)構(gòu)中,互質(zhì)陣列由于能夠解決均勻線性陣列中自由度受限的問(wèn)題,近些年受到了學(xué)者們的廣泛關(guān)注。本文基于互質(zhì)陣列,圍繞無(wú)網(wǎng)格化方法提出相應(yīng)的DOA估計(jì)算法,主要內(nèi)容有:1.首先對(duì)均勻線性陣列和互質(zhì)陣列的信號(hào)模型進(jìn)行了重點(diǎn)研究,并將它們進(jìn)行了性能上的比較,同時(shí)介紹了兩種傳統(tǒng)的超分辨DOA估計(jì)算法。2.其次利用互質(zhì)陣列所得到的等價(jià)虛擬信號(hào),僅通過(guò)M+N-1個(gè)天線陣元將自由度提升至O(MN)。在此基礎(chǔ)上,提出兩種分別基于范德蒙分解和ESPRIT算法新型無(wú)網(wǎng)格化的DOA估計(jì)算法。算法在進(jìn)行DOA估計(jì)的同時(shí)實(shí)現(xiàn)了相對(duì)應(yīng)的功率估計(jì)。計(jì)算機(jī)仿真結(jié)果表明,兩種算法在估計(jì)精度及計(jì)算復(fù)雜度等方面體現(xiàn)出了優(yōu)勢(shì)。3.最后針對(duì)基于互質(zhì)陣列的傳統(tǒng)算法無(wú)法利用接收信號(hào)提供的所有信息這一缺點(diǎn),提出了一種基于內(nèi)插虛擬陣列Toeplitz化重建的DOA估計(jì)算法。該算法根據(jù)非均勻虛擬陣列的接收信號(hào)進(jìn)行Toeplitz結(jié)構(gòu)約束形成凸優(yōu)化問(wèn)題來(lái)重建內(nèi)插虛擬陣列協(xié)方差矩陣,能夠完全利用互質(zhì)陣列所提供的自由度,并在此基礎(chǔ)上通過(guò)范德蒙分解算法實(shí)現(xiàn)了無(wú)網(wǎng)格化DOA估計(jì)。
[Abstract]:As an important part of array signal processing, direction-of-arrival (Direction-of-Arrival,DOA) estimation has been widely used in radar, wireless communication, biological detection and other fields. In the array structure used in DOA estimation, due to its ability to solve the problem of limited degrees of freedom in uniform linear arrays, mutual-mass arrays have attracted much attention in recent years. In this paper, the corresponding DOA estimation algorithm is proposed around meshless methods based on mutuality arrays. The main contents are as follows: 1. Firstly, the signal models of uniform linear array and mutual mass array are studied, and their performances are compared. At the same time, two traditional super-resolution DOA estimation algorithms are introduced. 2. Secondly, using the equivalent virtual signal obtained from the mutual-mass array, the degree of freedom is promoted to O (MN). Only by using M-N-1 antenna array elements. On this basis, two new meshless DOA estimation algorithms based on Van der Mon decomposition and ESPRIT algorithm are proposed. The algorithm realizes the corresponding power estimation while carrying out DOA estimation. The computer simulation results show that the two algorithms have advantages in estimation accuracy and computational complexity. Finally, a DOA estimation algorithm based on interpolated virtual array Toeplitz reconstruction is proposed to overcome the shortcoming that the traditional algorithm based on mutual-mass array can not take advantage of all the information provided by the received signal. According to the received signals of the non-uniform virtual array, the algorithm forms a convex optimization problem based on the Toeplitz structure constraints to reconstruct the covariance matrix of the interpolated virtual array, which can make full use of the degree of freedom provided by the mutual-mass array. On the basis of this, a meshless DOA estimation is realized by Van der Mon decomposition algorithm.
【學(xué)位授予單位】：浙江大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類(lèi)號(hào)】：TN911.7

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