结合亚像元实时灰度投影算法的导行系统

服务于现代天文望远镜的导行系统通常会受到大气和风载等干扰而引起导行信标重心位置计算不准确。为了有效解决这种问题，本文提出将具备亚像元和实时性的灰度投影算法嵌套到导行系统的重心算法中，从而在几乎不失时间分辨率的前提下减小一个导行闭环周期内的重心误差，达到提高导行系统性能的目的。首先，分析了高实时小偏差的导行信标重心计算是实现高性能导行系统的重要前提，并指出灰度投影算法在其中所起的重要作用。其次，分析了灰度投影算法能够与重心算法结合提高导行系统性能的原因，并针对传统灰度投影算法进行速度和分辨率的改进，以实现使用亚像元实时灰度投影算法与重心算法结合提高导行系统性能的目的。最后，将所提出的结合亚像元实时灰度投影算法的导行系统在400 mm 口径望远镜上进行了测试，测试结果表明，本文所提出的方法能够在几乎不失时间分辨率的前提下较好地抑制风载的干扰，从而达到了提高导行系统性能的目的。

Abstract

Guiding systems serving modern astronomical telescopes are usually subjected to atmospheric and wind-borne disturbances that result in inaccurate calculation of the center of gravity of the guiding beacon. In order to solve this problem effectively, the sub-pixel real-time gray projection algorithm is nested into the algorithm of center of gravity of auto guiding system, which reduces the jitter of the center of gravity in a closed-loop cycle of auto guiding system without losing time resolution and achieves the goal of improving the performance of auto guiding system. First of all, in the paper, we analyze that to implement high performance auto guiding system, obtaining high real-time and small error guiding beacon's center of gravity is significant, and point out that gray projection algorithm plays an important role in the course of obtaining the guiding beacon's center of gravity. Furthermore, after analyzing the reason that classic gray projection algorithm is able to be combined with the center of gravity to increase the performance of auto guiding system, we modify the classic gray projection algorithm in the speed and accuracy so as to combine the modified algorithm with the algorithm of center of gravity of auto guiding system and achieve the goal of improving the performance of auto guiding system. Finally, we test our auto guiding system with the algorithms mentioned above in a 400 mm aperture telescope, and conclude that our system can obviously decrease the random jitter caused by wind load at the cost of less decreasing temporal resolution, and achieve the goal of improving its performance.

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宋智明, 柳光乾, 屈中权. 结合亚像元实时灰度投影算法的导行系统[J]. 光电工程, 2018, 45(8): 170586. Song Zhiming, Liu Guangqian, Qu Zhongquan. The auto guiding system combined with sub-pixel real-time gray projection algorithm[J]. Opto-Electronic Engineering, 2018, 45(8): 170586.

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