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采用復(fù)合三角函數(shù)實(shí)現(xiàn)MIMO雷達(dá)單快拍成像的平滑l0范數(shù)改進(jìn)算法

童寧寧,  趙小茹,  丁姍姍,  何興宇

童寧寧, 趙小茹, 丁姍姍, 何興宇. 采用復(fù)合三角函數(shù)實(shí)現(xiàn)MIMO雷達(dá)單快拍成像的平滑l0范數(shù)改進(jìn)算法[J]. 電子與信息學(xué)報, 2017, 39(12): 2803-2810. doi: 10.11999/JEIT170294
引用本文: 童寧寧, 趙小茹, 丁姍姍, 何興宇. 采用復(fù)合三角函數(shù)實(shí)現(xiàn)MIMO雷達(dá)單快拍成像的平滑l0范數(shù)改進(jìn)算法[J]. 電子與信息學(xué)報, 2017, 39(12): 2803-2810. doi: 10.11999/JEIT170294
TONG Ningning, ZHAO Xiaoru, DING Shanshan, HE Xingyu. Improved Smoothed l0 Norm Algorithm for MIMO Radar Signal Snapshot Imaging via Composite Trigonometric Function[J]. Journal of Electronics & Information Technology, 2017, 39(12): 2803-2810. doi: 10.11999/JEIT170294
Citation: TONG Ningning, ZHAO Xiaoru, DING Shanshan, HE Xingyu. Improved Smoothed l0 Norm Algorithm for MIMO Radar Signal Snapshot Imaging via Composite Trigonometric Function[J]. Journal of Electronics & Information Technology, 2017, 39(12): 2803-2810. doi: 10.11999/JEIT170294

采用復(fù)合三角函數(shù)實(shí)現(xiàn)MIMO雷達(dá)單快拍成像的平滑l0范數(shù)改進(jìn)算法

doi: 10.11999/JEIT170294
基金項目: 

國家自然科學(xué)基金(6157010318)

Improved Smoothed l0 Norm Algorithm for MIMO Radar Signal Snapshot Imaging via Composite Trigonometric Function

Funds: 

The National Natural Science Foundation of China (6157010318)

  • 摘要: SL0算法采用最速下降法和梯度投影原理，將選取的平滑函數(shù)逼近l0范數(shù)，以求解最優(yōu)化問題實(shí)現(xiàn)信號重建。針對平滑函數(shù)逼近性能、算法精確度和算法運(yùn)算量3個方面進(jìn)行研究，該文提出一種高效地實(shí)現(xiàn)信號重構(gòu)的算法 ICTF-SL0算法。首先，選取復(fù)合三角函數(shù)作為平滑函數(shù)，同時以加權(quán)的方式引入全變差(Total Variation, TV)設(shè)定約束條件；其次，采用Chaotic迭代代替矩陣分解實(shí)現(xiàn)梯度投影。仿真結(jié)果證明，相比SL0及其他改進(jìn)算法，ICTF-SL0能夠提高成像精度，降低運(yùn)算負(fù)擔(dān)，實(shí)現(xiàn)稀疏陣列MIMO雷達(dá)單快拍成像。
    Abstract: Smoothed l0(SL0) norm algorithm, using the steepest descent method and gradient projection principle, approaches tol0 norm with selected smooth function, so as to solve the optimization problem and achieve signals reconstruction. A reconstruction algorithmImproved Composite Trigonometric Function (ICTF-SL0) is proposed, researching approximation of smooth function, precision and calculation load of the algorithm. Firstly, composite trigonometric function is chosen as the smooth one, meanwhile constraint condition is designed by adding Total Variation (TV) as a weight value. And then, matrix decomposition is alternated by using Chaotic iteration to accomplish gradient projection. Finally, by contrast with origin SL0 algorithm and other improved algorithms, simulation results demonstrate that ICTF-SL0 algorithm can availably improve imaging precision, decrease calculation load and achieve signal snapshot imaging under sparse array MIMO radar.
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出版歷程
  • 收稿日期:  2017-04-05
  • 修回日期:  2017-08-23
  • 刊出日期:  2017-12-19

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