一種線性校正到達(dá)時間差定位算法
doi: 10.11999/JEIT140313 cstr: 32379.14.JEIT140313
基金項目:
國家自然科學(xué)基金(61271293)資助課題
A Linear-correction Based on Time Difference of Arrival Localization Algorithm
-
摘要: 針對到達(dá)時間差(TDOA)定位中出現(xiàn)的非線性估計問題，該文提出一種線性校正TDOA定位算法。首先將高度非線性的TDOA定位方程組轉(zhuǎn)化為一組關(guān)于輻射源位置的偽線性方程，利用加權(quán)最小二乘(WLS)估計進(jìn)行初始求解；然后在此基礎(chǔ)上通過一階泰勒級數(shù)展開把偽線性方程組轉(zhuǎn)化為關(guān)于估計偏差的線性加權(quán)最小二乘問題并進(jìn)行求解，分析了所提算法在測量誤差較小時的有效性。最后提出了一種基于加權(quán)最小二乘估計的恒加速度運動輻射源的定位方法，相應(yīng)的估計性能在測量誤差較小時也接近克拉美羅界(CRLB)。計算機(jī)仿真結(jié)果驗證了該算法的有效性。Abstract: A novel Time Differences Of Arrival (TDOA) localization algorithm based on linear-correction is proposed to address the nonlinear problem of TDOA positioning. Firstly, the proposed algorithm reformulates the highly nonlinear TDOA equations into a set of pseudo-linear ones and the Weighted Least Squares (WLS) estimator is used to obtain the initial emitter position estimation. Then a linear weighted least squares problem with respect to the estimation bias is formulated through utilizing first-order Taylor-series expansion to the pseudo-linear equations. The effectiveness of the proposed method is theoretically analyzed under small noise postulation. Finally, the extension to the general case of moving emitter with constant acceleration localization scenario is also presented and the corresponding estimation accuracy can achieve the Cramer-Rao Lower Bound (CRLB) as well. Computer simulation results demonstrate the effectiveness of the proposed algorithm.
-
計量
- 文章訪問數(shù): 2807
- HTML全文瀏覽量: 225
- PDF下載量: 664
- 被引次數(shù): 0
下載:
