首页|Dice系数前向预测的快速正交正则回溯匹配追踪算法

Dice系数前向预测的快速正交正则回溯匹配追踪算法

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为了提高压缩感知重构算法的成功率与重构精度,该文提出基于Dice前向预测的正交正则回溯匹配追踪算法(DLARBOMP).在该算法中,首先从匹配准则与预选阶段原子选取的角度,利用Dice系数代替原子内积计算相关度,保留原始信号信息的特性,以此选择与残差最匹配的原子,提高算法的重构精度.同时,针对信号重构过程回溯算法的时间过长问题,在每次原子迭代过程中,该文利用正则化选择多个原子而非单个原子,实现重构精度与重构时间的平衡.最后,通过稀疏1维信号与2维图像信号重构的实验结果,显示了所提DLARBOMP算法在1维信号重构时兼顾了性能与效率,在2维压缩图像信号重构时提高其峰值信噪比(PSNR),优于正交匹配追踪(OMP)及其最新改进贪婪类算法.
Regular Backtracking Fast Orthogonal Matching Pursuit Algorithm Based on Dice Coefficient Forward Prediction
In order to improve the success rate and reconstruction accuracy of the compressed sensing reconstruction algorithm, the Look Ahead and Regular Backtracking Orthogonal Matching Pursuit based on Dice coefficient (DLARBOMP) is proposed. In this algorithm, from the perspective of matching criteria and atom selection in the pre-selection stage, the Dice coefficient is used to replace the atomic inner product to calculate the correlation value and preserve the characteristics of the original signal, to select the atom that best matches the residual and improve the reconstruction accuracy. At the same time, to reduce backtracking time in the reconstruction process, regularization is used to select multiple atoms instead of a single atom in each iteration, achieving a balance between reconstruction accuracy and time. Finally, the experimental results of sparse one-dimensional signal and two-dimensional image signal reconstruction show that the proposed DLARBOMP algorithm considers both performance and efficiency when reconstructing one-dimensional signal, and enhances the Peak Signal-to-Noise Ratio (PSNR) when reconstructing two-dimensional compressed image signal, as compared to Orthogonal Matching Pursuit (OMP) and the state-of-the-art greedy algorithms.

Signal reconstructionCompressed sensingDice coefficientRegular backtrackingGreedy algorithms

陈平平、陈家辉、王宣达、方毅、王锋

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福州大学先进制造学院 泉州 362251

广东工业大学信息工程学院 广州 510006

泉州师范学院信息工程学院 泉州 362200

信号重构 压缩感知 Dice系数 正则回溯 贪婪类算法

国家自然科学基金国家自然科学基金福建省杰出青年项目省教育厅重点攻关项目泉州市科技计划

62171135620711312022J060102023XQ0042021N050

2024

电子与信息学报
中国科学院电子学研究所 国家自然科学基金委员会信息科学部

电子与信息学报

CSTPCD北大核心
影响因子:1.302
ISSN:1009-5896
年,卷(期):2024.46(4)