多元素干涉测量中的直接图像重建

A. Lozynskyy, O. Ivantyshyn, B. P. Rusyn
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摘要

乌克兰的分米射电望远镜 URAN VLBI 系统成功地解决了许多科学问题,但在实施孔径合成技术时遇到了许多困难。其中之一就是不均匀的传播环境在这一范围内造成的严重相位失真。因此,开发一种传统名称为 "干涉视觉 "的替代技术的任务应运而生,这种技术将使我们能够用有限数量的天线恢复无线电图像,使用宽带信号,不要求物体场景的平整度,并具有扩展的视场。该方法基于与全息技术类似的物理原理。波阵面由干涉仪的天线记录,进一步的处理相当于反向回放波阵面,并记录由此产生的空间干涉图像。除了德尔塔相关性之外,对源的单个点的辐射没有特殊要求。考虑的是有限频带,每个点都可以用自己的频谱,即自己的辐射自相关函数来表征。直接重构法的分辨率取决于其宽度。在准单色近似情况下,所有源点辐射的自相关函数都退化为正弦曲线,只有使用傅里叶变换才能还原图像。我们已经从理论上证明了这种方法适用于不同维度的空间。具有多个天线的同等级干涉系统被简化为相同的典型形式,在坐标原点和坐标轴上的单位距离上放置固定数量的虚拟天线。通过使用额外的天线消除了求解的模糊性。对所提出的二维空间直接图像重建方法进行了模拟。尽管系统估算距离的条件较低,但当距离增加时,角度特性仍得以保留。因此,该方法有望用于恢复空间射电源的无线电图像。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
DIRECT IMAGE RECONSTRUCTION IN MULTI-ELEMENT INTERFEROMETRY
The Ukrainian VLBI system of decameter radio telescopes URAN successfully solves many scientific problems, but implementing aperture synthesis technology has a number of difficulties. One of them is significant phase distortions in this range caused by an inhomogeneous propagation environment. Therefore, the task arose to develop an alternative technology with the conventional name "Interferovision", which would allow us to restore radio images with a limited number of antennas, operate with broadband signals, not require flatness of the objects scene, and have an extended field of view. A method of direct image reconstruction when observing objects in space, using a multi-element interferometer, is proposed. This method is based on a physically based principle that is similar to holography. The wave front is registered by the antennas of the interferometer, and further processing is equivalent to its playback in reverse and registration of the resulting spatial interference image. There are no special requirements for the radiation of individual points of the source, except for its delta correlation. A finite frequency band is considered, and each point can be characterized by its own spectrum, that is, its own autocorrelation function of radiation. The resolution of the direct reconstruction method depends on its width. With the quasi-monochromatic approximation, the autocorrelation functions of the radiation of all the source points degenerate into sinusoids, and the restoration of the image becomes possible only with the use of the Fourier transformation. A theoretical justification of the method for spaces of different dimensions has been obtained. Interferometric systems of the same rank with many antennas are reduced to a same canonical form with fixed number of virtual antennas placed at the origin of the coordinates and at unit distances on the coordinate axes. The ambiguity of the obtained solution is eliminated by using an additional antenna. A simulation of the proposed method of direct image reconstruction for two-dimensional space was carried out. Despite the low conditionality of the system for estimating the distance, when it increases, the angular characteristics are preserved. Therefore, the method is promising for restoring radio images of space radio sources.
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