Non-convex optimization for self-calibration of direction-dependent effects in radio interferometric imaging
Non-convex optimization for self-calibration of direction-dependent effects in radio interferometric imaging
复制标题
无线电干涉成像中方向相关效应自校准的非凸优化
DOI：
10.1093/mnras/stx1267
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发表时间：
2017
影响因子：
4.8
通讯作者：
Y. Wiaux
中科院分区：
文献类型：
--
作者：
A. Repetti;J. Birdi;A. Dabbech;Y. Wiaux
无线电干涉成像的目的是估计一个未知的天空强度图像从退化的观测，通过天线阵列获得。在完美校准阵列的理论情况下，已经表明，通过基于凸优化和压缩感知理论的迭代算法来解决相应的成像问题可以与诸如CLEAN的经典算法竞争。然而，在实践中，基于天线的增益是未知的并且必须被校准。未来的射电望远镜，如SKA，旨在提高成像分辨率和灵敏度的数量级。在这个精度水平上，必须考虑增益的方向依赖性，并且无线电干涉成像可以被理解为盲解卷积问题。在这种情况下，基本的最小化问题是非凸的，并适应技术的设计。在这项工作中，利用非凸优化的最新发展，我们提出了无线电干涉测量中的第一个联合校准和成像方法，并证明了收敛保证。我们的方法，基于一个块坐标的前向-后向算法，共同占的图像和方向相关的影响（DDE）上的vibrium和合适的先验。正如在最近的作品中所展示的，稀疏性仍然是图像的优先选择，而DDE被建模为天空的平滑函数，即空间带限。最后，我们通过仿真表明，我们的方法的效率，重建图像的点源和复杂的扩展源。MATLAB代码可以在GitHub上找到。
Radio interferometric imaging aims to estimate an unknown sky intensity image from degraded observations, acquired through an antenna array. In the theoretical case of a perfectly calibrated array, it has been shown that solving the corresponding imaging problem by iterative algorithms based on convex optimization and compressive sensing theory can be competitive with classical algorithms such as CLEAN. However, in practice, antenna-based gains are unknown and have to be calibrated. Future radio telescopes, such as the SKA, aim at improving imaging resolution and sensitivity by orders of magnitude. At this precision level, the direction-dependency of the gains must be accounted for, and radio interferometric imaging can be understood as a blind deconvolution problem. In this context, the underlying minimization problem is non-convex, and adapted techniques have to be designed. In this work, leveraging recent developments in non-convex optimization, we propose the first joint calibration and imaging method in radio interferometry, with proven convergence guarantees. Our approach, based on a block-coordinate forward-backward algorithm, jointly accounts for visibilities and suitable priors on both the image and the direction-dependent effects (DDEs). As demonstrated in recent works, sparsity remains the prior of choice for the image, while DDEs are modelled as smooth functions of the sky, i.e. spatially band-limited. Finally, we show through simulations the efficiency of our method, for the reconstruction of both images of point sources and complex extended sources. MATLAB code is available on GitHub.
影响因子：
1.2
作者：
Blumensath, Thomas;Davies, Mike E.
通讯作者：
Davies, Mike E.
用于无线电干涉成像的加速分裂算法：当自然和均匀加权满足时
DOI：
--
发表时间：
2017
期刊：
ArXiv e-prints
影响因子：
--
作者：
Onose Alexandru
通讯作者：
Onose Alexandru