基于DOA和TDOI的主瓣掃描輻射源定位方法
doi: 10.11999/JEIT170141 cstr: 32379.14.JEIT170141
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2.
(國(guó)防科學(xué)技術(shù)大學(xué)電子科學(xué)與工程學(xué)院 長(zhǎng)沙 410073)
基金項(xiàng)目:
上海航天科技創(chuàng)新基金項(xiàng)目(SAST2015028)
Scanning Emitter Localization Using DOA and TDOI Measurements
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2.
(College of Electronic Science and Engineering, National University of Defense Technology, Changsha 410073, China)
Funds:
Shanghai Aerospace Science and Technology Innovation Fund (SAST2015028)
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摘要: 針對(duì)具有已知掃描周期特性的輻射源無(wú)源定位問(wèn)題,該文提出一種基于主瓣到達(dá)角(DOA)和掃描截獲時(shí)間差(TDOI)的聯(lián)合定位體制。通過(guò)對(duì)其定位誤差的克拉美-羅下限(CRLB)推導(dǎo),給出了聯(lián)合定位體制的性能與DOA和信號(hào)截獲時(shí)間(TOI)觀測(cè)量的等效測(cè)角噪聲功率比的關(guān)系。為了利用非線性聯(lián)合觀測(cè)量確定掃描輻射源的位置,通過(guò)將TDOI觀測(cè)量轉(zhuǎn)換成等效DOA觀測(cè)量,給出一種加權(quán)偽線性最小二乘(WPLS)定位方法;為消除觀測(cè)矩陣相關(guān)噪聲導(dǎo)致的WPLS估計(jì)偏差,提出了一種加權(quán)輔助變量(WIV)定位方法,算法復(fù)雜度約為WPLS算法的2倍。仿真結(jié)果表明,WIV方法的定位誤差在輻射源單個(gè)掃描周期內(nèi)即可達(dá)到CRLB,定位性能與極大似然(ML)定位方法相當(dāng);隨著觀測(cè)次數(shù)的增多,WIV方法可以漸近達(dá)到無(wú)偏估計(jì)。
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關(guān)鍵詞:
- 無(wú)源定位 /
- 機(jī)械掃描 /
- 到達(dá)角 /
- 截獲時(shí)間差 /
- 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. -
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