基于DOA和TDOI的主瓣扫描辐射源定位方法

张翼飞; 张敏; 郭福成

doi:10.11999/JEIT170141

基于DOA和TDOI的主瓣扫描辐射源定位方法

doi: 10.11999/JEIT170141

2.
(国防科学技术大学电子科学与工程学院长沙 410073)

基金项目:

上海航天科技创新基金项目(SAST2015028)

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出版历程
- 收稿日期: 2017-02-21
- 修回日期: 2017-09-18
- 刊出日期: 2017-12-19

Scanning Emitter Localization Using DOA and TDOI Measurements

2.
(College of Electronic Science and Engineering, National University of Defense Technology, Changsha 410073, China)

Funds:

Shanghai Aerospace Science and Technology Innovation Fund (SAST2015028)

摘要

摘要: 针对具有已知扫描周期特性的辐射源无源定位问题，该文提出一种基于主瓣到达角(DOA)和扫描截获时间差(TDOI)的联合定位体制。通过对其定位误差的克拉美-罗下限(CRLB)推导，给出了联合定位体制的性能与DOA和信号截获时间(TOI)观测量的等效测角噪声功率比的关系。为了利用非线性联合观测量确定扫描辐射源的位置，通过将TDOI观测量转换成等效DOA观测量，给出一种加权伪线性最小二乘(WPLS)定位方法；为消除观测矩阵相关噪声导致的WPLS估计偏差，提出了一种加权辅助变量(WIV)定位方法，算法复杂度约为WPLS算法的2倍。仿真结果表明，WIV方法的定位误差在辐射源单个扫描周期内即可达到CRLB，定位性能与极大似然(ML)定位方法相当；随着观测次数的增多，WIV方法可以渐近达到无偏估计。
- 无源定位 /
- 机械扫描 /
- 到达角 /
- 截获时间差 /
- 最小二乘
Abstract: The determination of the scanning emitter position with known scan rate using Direction Of Arrival (DOA) and Time Difference Of Interception (TDOI) is investigated. The Cramr-Rao Lower Bound (CRLB) of the DOA and TDOI based localization regime is firstly derived. It demonstrates that the equivalent DOA measurements noise power ratio of the individual regime is closely related to the improvement of the combination regime. To exclusively determine the position of the scanning emitter, the TOI measurements are transformed to the corresponding DOA measurements and then a Weighted Pseudo-linear Least Square (WPLS) estimator is proposed. However, the WPLS is biased due to the noise correlation between the regressor and regressand of the pseudo-linear equation. The Instrumental Variable (IV) method is resorted to eliminate the bias caused by the WPLS, and a Weighted IV (WIV) estimator, at the cost of two times computational complexity of the WPLS, is proposed. Simulations show that the WIV performs approximately to the Maximum Likelihood (ML) estimator. It can reach the CRLB in one scan cycle, and is asymptotic unbiased within multiple cycles.
- Passive localization /
- Mechanical scanning /
- Direction Of Arrival (DOA) /
- Time Difference Of Interception (TDOI) /
- Least Squares (LS)

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