一種新的分布式MIMO雷達(dá)系統(tǒng)運(yùn)動(dòng)目標(biāo)定位代數(shù)解算法
doi: 10.11999/JEIT170510
基金項(xiàng)目:
國(guó)家自然科學(xué)基金(61401469, 61501513)
New Algebraic Algorithm for Moving Target Localization in Distributed MIMO Radar Systems
Funds:
The National Natural Science Foundation of China (61401469, 61501513)
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摘要: 該文針對(duì)分布式MIMO雷達(dá)系統(tǒng)中的運(yùn)動(dòng)目標(biāo)定位問(wèn)題，以雙基地距離(BR)及其變化率(BRR)作為觀測(cè)量，提出一種基于多步加權(quán)最小二乘的代數(shù)解算法。算法共需要3步加權(quán)最小二乘估計(jì)。首先，在第1步加權(quán)最小二乘估計(jì)中，通過(guò)選取適當(dāng)?shù)妮o助參數(shù)，將非線性的BR和BRR的觀測(cè)方程進(jìn)行偽線性化處理，從而得到目標(biāo)位置和速度的粗略解；而后在后兩步加權(quán)最小二乘估計(jì)中，利用目標(biāo)位置參數(shù)和輔助參數(shù)之間的約束關(guān)系構(gòu)建方程，從而得到目標(biāo)位置和速度的精確估計(jì)。最后，推導(dǎo)了算法的理論誤差，從理論上證明了算法可以達(dá)到克拉美羅界。在仿真實(shí)驗(yàn)中，將所提算法與現(xiàn)有算法進(jìn)行了對(duì)比，驗(yàn)證了算法的優(yōu)越性。
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關(guān)鍵詞:
- MIMO雷達(dá) /
- 雙基地距離 /
- 雙基地距離變化率 /
- 加權(quán)最小二乘
Abstract: To solve the moving target localization problem in distributed MIMO radar systems, with the Bistatic Range (BR) and Bistatic Range Rate (BRR) used as the measurements, an algebraic algorithm based on multi- stage Weighted Least Squares (WLS) is proposed. The proposed algorithm needs three WLS stages. In the first WLS stage, by introducing proper additional parameters, the BR and BRR measurement equations are linearized, and weighted least square estimator is used to produce a rough estimate of target position and velocity. Then in the latter two WLS stages, the relation between the target location parameters and additional parameters is utilized to refine the estimate. Finally, the theoretical error of the proposed algorithm is derived, and it is proved that the theoretical error attains the Cramer-Rao Lower Bound. Simulation results indicate that the proposed algorithm achieves a significant performance improvement over the existing algorithms. -
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