系统工程与电子技术
繫統工程與電子技術
계통공정여전자기술
SYSTEMS ENGINEERING AND ELECTRONICS
2014年
8期
1500-1504
,共5页
邹建武%祝明波%高明哲%李相平
鄒建武%祝明波%高明哲%李相平
추건무%축명파%고명철%리상평
超分辨%范数正则化%半定规划%稀疏
超分辨%範數正則化%半定規劃%稀疏
초분변%범수정칙화%반정규화%희소
super-resolution%norm regularization%semi-definite program%sparse
方位超分辨是国内外雷达界长期以来持续探索的一项技术难题,针对求解过程中所遇到的病态性,本文深入研究了范数正则化方法。利用 L 2范数正则化方法对方位超分辨模型进行求解,针对 L 2范数正则化方法的不足并考虑到目标信号的稀疏性质,建立了 L 1范数正则化模型。为提高求解的计算效率,将其转化为半定规划模型,用预测校正原对偶路径跟踪法进行求解。针对不同信噪比情况进行了计算机仿真,初步结果表明,两种方法都能用于雷达方位超分辨,且在相同条件下 L 1范数正则化方法分辨性能更好,具有较强的噪声适应能力,在信噪比低至0 dB 时,分辨力提高1.7倍。
方位超分辨是國內外雷達界長期以來持續探索的一項技術難題,針對求解過程中所遇到的病態性,本文深入研究瞭範數正則化方法。利用 L 2範數正則化方法對方位超分辨模型進行求解,針對 L 2範數正則化方法的不足併攷慮到目標信號的稀疏性質,建立瞭 L 1範數正則化模型。為提高求解的計算效率,將其轉化為半定規劃模型,用預測校正原對偶路徑跟蹤法進行求解。針對不同信譟比情況進行瞭計算機倣真,初步結果錶明,兩種方法都能用于雷達方位超分辨,且在相同條件下 L 1範數正則化方法分辨性能更好,具有較彊的譟聲適應能力,在信譟比低至0 dB 時,分辨力提高1.7倍。
방위초분변시국내외뢰체계장기이래지속탐색적일항기술난제,침대구해과정중소우도적병태성,본문심입연구료범수정칙화방법。이용 L 2범수정칙화방법대방위초분변모형진행구해,침대 L 2범수정칙화방법적불족병고필도목표신호적희소성질,건립료 L 1범수정칙화모형。위제고구해적계산효솔,장기전화위반정규화모형,용예측교정원대우로경근종법진행구해。침대불동신조비정황진행료계산궤방진,초보결과표명,량충방법도능용우뢰체방위초분변,차재상동조건하 L 1범수정칙화방법분변성능경호,구유교강적조성괄응능력,재신조비저지0 dB 시,분변력제고1.7배。
The azimuth super-resolution is a technique problem which has been explored continuously in the field of radar.The L 2 norm regularization method is used for the solution to radar azimuth super-resolution problem,because of the ill-condition encountered in the solution process.The L 1 norm regularization model is also established for the shortage of the L 2 norm regularization method and the sparseness of the target signal.In order to improve the computational efficiency,the L 1 norm regularization model is transformed into a semi-defi-nite programming model which is solved by the predictor-corrector primal-dual path-following method.The computer simulation for different signal-to-noise ratio (SNR)is made.The preliminary findings show that both methods can be used in radar azimuth super-resolution,and the performance of the L1 norm regularization method is better under the same conditions,with a strong noise adaptive ability.It shows when SNR is not less than 0 dB,the resolution is increased by 1.7 times.