基于對稱旋轉(zhuǎn)不變性的非圓相干分布源直接定位算法
doi: 10.11999/JEIT180433
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解放軍信息工程大學(xué) ??鄭州 ??450001
Direct Position Determination for Coherently Distributed Noncircular Source Based on Symmetric Shift Invariance
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PLA Information Engineering University, Zhengzhou 450001, China
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摘要:
針對現(xiàn)有相干分布源直接定位方法中存在的依賴分布模型、計算復(fù)雜等問題,該文提出一種基于非圓信號特征的對稱旋轉(zhuǎn)不變直接定位算法。該方法首先根據(jù)分布源參數(shù)化假設(shè)建立基于數(shù)據(jù)域信息的直接位置估計模型,并利用非圓信號特征擴(kuò)展接收信號的協(xié)方差矩陣。然后針對中心對稱陣列,證明了相干分布源的確定性角信號分布函數(shù)矢量具有對稱特性,基于這一特征建立了擴(kuò)展方向矢量的旋轉(zhuǎn)不變關(guān)系;構(gòu)造了融合多個觀測站信息的目標(biāo)函數(shù),直接估計目標(biāo)位置,避免了對分布模型的依賴,且降低了待估計參數(shù)維度。仿真結(jié)果表明,與現(xiàn)有相干分布源定位算法相比,所提算法提高了分布源位置估計精度和效率,避免了對分布模型的依賴,更具實(shí)用價值。
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關(guān)鍵詞:
- 直接定位 /
- 相干分布源 /
- 非圓信號 /
- 對稱旋轉(zhuǎn)不變性
Abstract:The existing Direct Position Determination (DPD) algorithm of Coherently Distributed (CD) sources rely on the distribution model of CD sources with huge computation cost, which is not practical. To improve further the localization performance, a novel DPD algorithm of CD sources that profits from the characteristics of noncircular signals is proposed based on the symmetric shift invariance of the centrosymmetric array. With the parameterization assumption of CD sources, the direct position determination model is firstly constructed by combining the characteristics of noncircular signals. Then, it is proved that for any centrosymmetric array, the generalized steering vector of CD sources has the property of symmetric shift invariance. Base on this characteristic, the positions of CD sources are directly estimated by fusing the information of all observation stations with no need to consider the distribution model, which reduces the dimension of the parameter to be estimated. Simulation results validate that, compared with the existing localization algorithms of CD sources, the proposed algorithm improves the localization accuracy, and avoids the dependence on the distribution model of CD sources, which is of great practical value.
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