Joint feature enhancement for high resolution SAR imaging based on total variation regularization

Bo HUANG; Jie ZHOU; Ge JIANG

doi:10.11972/j.issn.1001-9014.2021.05.013

Journals >Journal of Infrared and Millimeter Waves >Volume 40 >Issue 5 >Page 664 > Article

Journal of Infrared and Millimeter Waves
Vol. 40, Issue 5, 664 (2021)

Joint feature enhancement for high resolution SAR imaging based on total variation regularization

Bo HUANG^*, Jie ZHOU, and Ge JIANG

Author Affiliations

Institute of Electronic Engineering，Chinese Academy of Engineering Physics，Mianyang 621999，China

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DOI: 10.11972/j.issn.1001-9014.2021.05.013 Cite this Article

Bo HUANG, Jie ZHOU, Ge JIANG. Joint feature enhancement for high resolution SAR imaging based on total variation regularization[J]. Journal of Infrared and Millimeter Waves, 2021, 40(5): 664 Copy Citation Text

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Fig. 1. SAR imaging geometric schematic

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Fig. 2. [in Chinese]

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Fig. 3. Contrast experiment of measured SAR data；（a）Imaging results by RD；

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Fig. 4. Phase transition diagram of undersampling-SNR；（a）Lasso-ADMM；（b）SE-ADMM

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Fig. 5. Phase transition diagram of undersampling-sparseness；（a）Lasso-ADMM；（b）SE-ADMM

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步骤1：设定初值 $X^{0} = Z^{0} = D^{0} = 0, G = 3, k = 0$ ，设定迭代停止准则。
步骤2：分步求解：进行对 $Z_{1}$ 、 $D_{1}$ 、 $Z_{2}$ 、 $D_{2}$ 、 $Z_{3}$ 和 $D_{3}$ 的求解 $\begin{array}{l} f o r g = G \\ Z_{1}^{k + 1} = {(E^{k + 1})}^{H} A^{H} Y, D_{1}^{k + 1} = D_{1}^{k} - X^{k + 1} + Z_{1}^{k + 1} (13) \\ Z_{2}^{k + 1} = p r o x_{λ_{2} / ρ} [W^{k + 1}], D_{2}^{k + 1} = D_{2}^{k} - X^{k + 1} + Z_{2}^{k + 1} (15) \\ Z_{3}^{k + 1} = p r o x_{T V (\cdot)} (W^{k + 1}), D_{3}^{k + 1} = D_{3}^{k} - X^{k + 1} + Z_{3}^{k + 1} (22) \\ e n d \\ Z^{k + 1} = [Z_{1}^{k + 1} Z_{2}^{k + 1} Z_{3}^{k + 1}], D^{k + 1} = [D_{1}^{k + 1} D_{2}^{k + 1} D_{3}^{k + 1}] \\ k = k + 1 \end{array}$
步骤3：整体优化：对目标变量 $X$ 的求解 $X^{k + 1} = [A^{H} E^{H} Y + ρ_{1} (Z_{1}^{k + 1} + D_{1}^{k + 1}) + ρ_{2} (Z_{2}^{k + 1} + D_{2}^{k + 1}) + ρ_{3} (Z_{3}^{k + 1} + D_{3}^{k + 1})] \cdot [{(1 + ρ G)}^{- 1} I] (24)$
步骤4：若满足停止准则，则进行步骤5，结束迭代。否则，进行步骤2。
步骤5：输出多特征增强结果 $X$ 。

Table 1. [in Chinese]

Bo HUANG, Jie ZHOU, Ge JIANG. Joint feature enhancement for high resolution SAR imaging based on total variation regularization[J]. Journal of Infrared and Millimeter Waves, 2021, 40(5): 664

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