對稱穩(wěn)定分布噪聲下基于廣義相關(guān)熵的DOA估計新方法
doi: 10.11999/JEIT151217
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1.
(大連理工大學(xué)電子信息與電氣工程學(xué)部 大連 116024) ②(國家無線電監(jiān)測中心 北京 100037) ③(北京郵電大學(xué)信息與通信工程學(xué)院 北京 100876)
國家自然科學(xué)基金(61139001, 61172108, 81241059)
A Novel Generalized Correntropy Based Method for Direction of Arrival Estimation in Symmetric Alpha Stable Noise Environments
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1.
(Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China)
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2.
(State Radio Monitoring Center, Beijing 100037, China)
The National Natural Science Foundation of China (61139001, 61172108, 81241059)
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摘要: 針對穩(wěn)定隨機變量有限二階矩不存在的特點,該文定義了一種新的廣義相關(guān)熵,并從理論上證明了對稱穩(wěn)定分布隨機變量廣義相關(guān)熵的有界性。此外,提出了一種穩(wěn)定分布噪聲下基于最小廣義相關(guān)熵準(zhǔn)則的DOA估計新方法,給出了一種迭代優(yōu)化算法并通過仿真實驗分析了算法的收斂性。仿真結(jié)果表明,與現(xiàn)有基于分?jǐn)?shù)低階矩的FLOM-MUSIC、基于類相關(guān)熵的CRCO-MUSIC以及基于lp范數(shù)的ACO-MUSIC算法相比,所提方法可以獲得更好的估計結(jié)果,尤其是在高脈沖性噪聲環(huán)境下具有更加明顯的優(yōu)勢。
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關(guān)鍵詞:
- 波達方向估計 /
- 相關(guān)熵 /
- 廣義相關(guān)熵 /
- 穩(wěn)定分布噪聲 /
- MUSIC算法
Abstract: To overcome the limitation that the alpha stable distributed variable possesses infinite second-order moment, a novel generalized correntropy is defined and the bounded property of the generalized correntropy for the symmetric alpha stable variable is proved. Furthermore, a novel minimum generalized correntropy criterion based DOA estimation method for impulsive noise is proposed, and an iterative optimization algorithm is presented, the convergence of which is analyzed by simulation experiments. The simulation results demonstrate that the proposed method can get better estimation results than the fractional lower order moments based FLOM-MUSIC, the correntropy-like based CRCO-MUSIC and the lp norm based ACO-MUSIC methods, especially in the highly impulsive noise environments. -
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