本文選題：壓縮感知 + 稀疏重構(gòu)　； 參考：《江蘇科技大學(xué)》2017年碩士論文

【摘要】：隨著傳感器和陣列技術(shù)應(yīng)用的逐漸增多,陣列信號(hào)的處理成為近年的熱點(diǎn)。波達(dá)方向(DOA,Direction of Arrival)估計(jì)作為陣列信號(hào)處理的一部分,經(jīng)過(guò)近幾十年的發(fā)展,其理論已日漸成熟,并廣泛應(yīng)用于聲吶、通信、雷達(dá)、醫(yī)學(xué)等眾多領(lǐng)域。由于環(huán)境、硬件、能量供應(yīng)等各方面的限制,現(xiàn)有的水聲陣列DOA估計(jì)方法在實(shí)際應(yīng)用中往往會(huì)出現(xiàn)運(yùn)算慢,精度不高等問(wèn)題。已有的DOA估計(jì)方法大多是基于均勻陣列的基礎(chǔ)上進(jìn)行研究的,通過(guò)擴(kuò)大陣列的孔徑達(dá)到提高空間譜估計(jì)方法測(cè)角分辨率的目的,會(huì)使工程成本的急劇增加。所以在不增加方位估計(jì)成本的前提下,提出一種新型陣列模型具有經(jīng)濟(jì)型的意義。本文從水聲陣列信號(hào)的陣列模型、信號(hào)處理方法和估計(jì)的角度,提出一種互質(zhì)陣列模型,并與現(xiàn)有的算法做相關(guān)比較,以提高算法的性能。從應(yīng)用角度出發(fā),為了增加陣列的孔徑,論文介紹了互質(zhì)陣列的概念,通過(guò)相應(yīng)的數(shù)學(xué)模型分析對(duì)其原理做了簡(jiǎn)要闡述。將互質(zhì)陣列與傳統(tǒng)的陣列模型進(jìn)行比較,然后把互質(zhì)陣列與波達(dá)方向角估計(jì)進(jìn)行結(jié)合。在壓縮感知基本原理的基礎(chǔ)上,對(duì)空間譜估計(jì)方法以及稀疏空間類算法進(jìn)行進(jìn)一步比較,并設(shè)計(jì)出基于稀疏類的DOA估計(jì)方法。在上述理論基礎(chǔ)上,論文又研究了子空間類的水聲互質(zhì)陣列DOA估計(jì)方法。將子空間類算法與水聲互質(zhì)陣列模型相結(jié)合,并進(jìn)行基于水聲互質(zhì)陣列的DOA估計(jì)方法相關(guān)研究。此外,本文將稀疏重構(gòu)算法應(yīng)用于水聲互質(zhì)陣列的DOA估計(jì)中,將互質(zhì)陣列條件下的稀疏重構(gòu)算法和傳統(tǒng)DOA估計(jì)算法的估計(jì)性能進(jìn)行比較。此外還對(duì)比了稀疏重構(gòu)理論下均勻陣列與互質(zhì)陣列的DOA估計(jì)方法。經(jīng)過(guò)仿真實(shí)驗(yàn),本文所提的陣列結(jié)構(gòu)比均勻陣列更符合實(shí)際需要,所提的DOA方法也比以往的DOA估計(jì)方法具有更高的估計(jì)精度。兩種方法相結(jié)合則使得估計(jì)效果比傳統(tǒng)的DOA估計(jì)方法優(yōu)越得多,即在陣元數(shù)目相同的情況下,能夠擴(kuò)展陣列孔徑,增加可識(shí)別的信源數(shù)目,節(jié)約經(jīng)濟(jì)成本。
[Abstract]:With the increasing application of sensor and array technology, array signal processing has become a hot spot in recent years. As a part of array signal processing, the theory of DOA of Arrival) estimation has matured gradually in recent decades, and has been widely used in many fields such as sonar, communication, radar, medicine and so on. Due to the limitations of environment, hardware, energy supply and so on, the existing DOA estimation methods of underwater acoustic array often appear the problems of slow operation and low precision in practical application. Most of the existing DOA estimation methods are based on uniform array. By enlarging the aperture of the array to improve the angular resolution of the spatial spectrum estimation method, the engineering cost will be increased sharply. Therefore, without increasing the cost of azimuth estimation, a new array model has economic significance. From the angle of array model, signal processing method and estimation of underwater acoustic array signal, this paper proposes a kind of mutual-mass array model, and compares it with the existing algorithms to improve the performance of the algorithm. From the point of view of application, in order to increase the aperture of array, the concept of mutual-mass array is introduced in this paper, and its principle is briefly explained by the corresponding mathematical model analysis. The mutual prime array is compared with the traditional array model, and then the DOA estimation is combined. Based on the basic principle of compressed sensing, the spatial spectrum estimation method and sparse spatial class algorithm are further compared, and a sparse class based DOA estimation method is designed. On the basis of the above theory, the subspace DOA estimation method of underwater acoustic mass array is studied. The subspace algorithm is combined with the underwater acoustic quality array model, and the DOA estimation method based on the underwater acoustic quality array is studied. In addition, the sparse reconstruction algorithm is applied to DOA estimation of underwater acoustic mutual-mass arrays, and the estimation performance of sparse reconstruction algorithm under the condition of mutual-mass array is compared with that of the traditional DOA estimation algorithm. In addition, the DOA estimation methods of uniform array and mutual-mass array under sparse reconstruction theory are compared. The simulation results show that the array structure proposed in this paper is more suitable to the practical needs than the uniform array, and the DOA method proposed in this paper has higher estimation accuracy than the previous DOA estimation methods. The combination of the two methods makes the estimation effect much better than the traditional DOA estimation method, that is, when the number of array elements is the same, the array aperture can be expanded, the number of identifiable sources can be increased, and the economic cost can be saved.
【學(xué)位授予單位】：江蘇科技大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：TN911.7

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