基于TDOA與GROA的多運(yùn)動(dòng)站誤差配準(zhǔn)算法
doi: 10.11999/JEIT160562
基金項(xiàng)目:
國(guó)家自然科學(xué)基金(61471379, 61102166, 91538201)
Multiple Moving Observers Registration Algorithm Based on TDOA and GROA
Funds:
The National Natural Science Foundation of China (61471379, 61102166, 91538201)
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摘要: 針對(duì)多運(yùn)動(dòng)站無(wú)源定位過(guò)程中存在系統(tǒng)誤差的問(wèn)題,該文提出一種基于到達(dá)時(shí)差(TDOA)與到達(dá)增益比(GROA)最小二乘配準(zhǔn)算法。該算法利用泰勒展開(kāi)把非線性的量測(cè)方程線性化,利用最小二乘算法得到對(duì)目標(biāo)狀態(tài)和系統(tǒng)誤差的聯(lián)合估計(jì),并考慮了量測(cè)噪聲和站址誤差的影響。同時(shí)推導(dǎo)了存在量測(cè)噪聲、站址誤差和系統(tǒng)誤差時(shí)的克拉美羅下界(CRLB),并分析了系統(tǒng)誤差對(duì)CRLB的影響。多種條件下的仿真表明,該算法對(duì)系統(tǒng)誤差和目標(biāo)狀態(tài)的估計(jì)精度較高,說(shuō)明了算法的有效性。
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關(guān)鍵詞:
- 無(wú)源定位 /
- 誤差配準(zhǔn) /
- 多運(yùn)動(dòng)站 /
- 到達(dá)時(shí)差 /
- 到達(dá)增益比
Abstract: This paper proposes a least-squares registration algorithm using Time Differences Of Arrival (TDOA) and Gain Ratios Of Arrival (GROA) measurements to solve the problem of multiple moving observers passive localization under the influence of system error. The proposed algorithm linearizes the nonlinear measurement equation by Taylor expansion, executes least squares algorithm for the joint estimation of target state and system biases, and considers the influence of measurement noise and location errors of observers. Meanwhile Cramr-Rao Lower Bound (CRLB) under the influence of measurement noise, location errors of observers and system biases is derived, and the influence of system error on CRLB is analyzed. Simulations under several different conditions indicate the proposed algorithm is valid, which can effectively estimate the system biases and target state. -
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