基于不確定集的穩(wěn)健MIMO雷達(dá)波形設(shè)計算法

李秀友; 薛永華; 黃勇; 關(guān)鍵

doi:10.11999/JEIT151425

基于不確定集的穩(wěn)健MIMO雷達(dá)波形設(shè)計算法

doi: 10.11999/JEIT151425

基金項目:

國家自然科學(xué)基金(61471382, 61401495, 61501487, 61531020)，山東省自然科學(xué)基金(2015ZRA06052)

計量
- 文章訪問數(shù): 1187
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- 被引次數(shù): 0
出版歷程
- 收稿日期: 2015-12-14
- 修回日期: 2016-05-30
- 刊出日期: 2016-10-19

Robust MIMO Radar Waveform Design Algorithm Based on Uncertainty Set

Funds:

The National Natural Science Foundation of China (61471382, 61401495, 61501487, 61531020), The Natural Science Foundation of Shandong Province (2015ZRA06052)

摘要

摘要: 針對雷達(dá)目標(biāo)回波信號存在不確定性導(dǎo)致MIMO雷達(dá)波形優(yōu)化設(shè)計性能下降問題，該文提出一種扁平橢球不確定集約束下的穩(wěn)健自適應(yīng)發(fā)射-接收波形聯(lián)合優(yōu)化設(shè)計方法。首先將目標(biāo)脈沖響應(yīng)的誤差推廣到更為一般的扁平橢球不確定集約束條件，并利用Lagrange乘子法對優(yōu)化過程進(jìn)行推導(dǎo)，得出扁平橢球不確定集約束下的閉式表達(dá)式。其次為了提高目標(biāo)脈沖響應(yīng)不確定集范圍較大時的優(yōu)化性能，采用了迭代魯棒最小方差法進(jìn)行求解(IRMVB)，求得更為精確的目標(biāo)脈沖響應(yīng)，提高了SINR改善性能。然后進(jìn)一步分析了基于扁平橢球不確定集約束條件與球體約束條件優(yōu)化問題的內(nèi)在聯(lián)系，推導(dǎo)得出該文求解過程為廣義對角加載方法。最后通過仿真實驗表明所提算法對于目標(biāo)回波信號不確定性具有更高的穩(wěn)健性。
- MIMO雷達(dá) /
- 波形設(shè)計 /
- 扁平橢球 /
- Lagrange函數(shù)
Abstract: In order to solve the problem of performance losses in the MIMO radar waveform design when target signal is uncertainty, a novel joint optimization of transmitting waveforms and receiving filters in the MIMO radar for the case of target in flat ellipsoid uncertainty set is proposed. Firstly, constraint of impulse response of target is extended to flat ellipsoid uncertainty set, Lagrange multiplier is used to solve the optimization problem, and the closed form solution is got under the constrain. Secondly, in order to improve SINR output of waveform design when the uncertainty set is large, Iterative Robust Minimum Variance Beamforming (IRMVB) is used to get more precise target impulse response. Thirdly, the relationship between flat ellipsoid uncertainty set and sphere uncertainty set is analyzed, and a solution which has the form of diagonal loading is derived. Finally, simulation results show that the proposed algorithm has excellent performance and it is robust for the uncertainty of impulse response of the target.
- MIMO radar /
- Waveform design /
- Flat ellipsoid /
- Lagrange function

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