KMS of Xinjiang Astronomical Observatory, CAS
| 基于傅立叶级数与分形函数的大型天线轨道不平度建模方法 | |
| Alternative Title | Large-scale antenna track irregularity modelling method based on Fourier series and fractal function |
王从思; 吴江; 李娜; 冯树飞; 段宝岩; 王伟; 保宏; 项斌斌 ; 许谦; 蒋力; 王艳; 李素兰; 虞梦月
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| 2016-01-21 | |
| Patent Number | 201610041630.2 |
| Rights Holder | 西安电子科技大学 |
| Country | 中国 |
| Subtype | 发明 |
| Status | 实质审查的生效 |
| Application Number | CN201610041630.2 |
| Open (Notice) Number | CN105718664A |
| Date Available | 2016-06-29 |
| Abstract | 本发明公开了一种基于傅立叶级数与分形函数的大型天线轨道不平度建模方法，包括：轨道表面不平度进行测量，设定模型中傅立叶级数展开阶次初始值以及分形函数拟合长度初始值；采用傅立叶级数拟合大尺度轮廓，采用最小二乘法求解；检验傅立叶级数的准确性，确定傅立叶展开阶次；将傅立叶级数拟合残差作为分形函数拟合的对象，建立基于分形函数的优化模型，确定设计变量的上下限，采用遗传优化算法计算优化模型；检验分形函数拟合的准确性，确定分形函数拟合长度；检验不平度数学模型的准确性。本发明能描述轨道不平度的宏观轮廓和轨道的微观形貌，更加真实的反映了实际轨道粗糙面；为天线指向模型中轨道误差源提供了支持，具有较高的实际应用价值。 |
| Other Abstract | The invention discloses a large-scale antenna track irregularity modelling method based on Fourier series and a fractal function. The method comprises the following steps: measuring the surface irregularity of a track, and setting a Fourier series expansion order initial value and a fractal function fitting length initial value in a model; fitting a large-scale profile by adopting the Fourier series, and solving by adopting a least square method; verifying the accuracy of the Fourier series, and determining a Fourier expansion order; establishing a fractal function-based optimization model by taking a Fourier series fitting residual error as the fractal function, determining an upper limit and a lower limit of a design variable, and calculating the optimization model by adopting a genetic optimization algorithm; verifying the fitting accuracy of the fractal function, and determining a fractal function fitting length; verifying the accuracy of an irregularity mathematical model. According to the method, the macroscopic profile of the irregularity of the track and the micro-topography of the track can be described, so that the rough surface of an actual track is reflected more truly; support is provided for a track error source in an antenna pointing model; therefore, the method has a relatively high actual application value. |
| Classification | G06F17/50 |
| Language | 中文 |
| Patent Agent | 西安通大专利代理有限责任公司 61200 |
| Document Type | 专利 |
| Identifier | http://ir.xao.ac.cn/handle/45760611-7/1529 |
| Collection | 110米口径全可动射电望远镜（QTT）_110米大口径全可动射电望远镜关键技术研究（973项目）_课题2：复杂环境下天线结构保型与高精度指向控制 射电天文研究室 |
| Affiliation | 西安电子科技大学 |
| Recommended Citation GB/T 7714 | 王从思,吴江,李娜,等. 基于傅立叶级数与分形函数的大型天线轨道不平度建模方法. 201610041630.2[P]. 2016-01-21. |
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| 2016100416302.pdf（2929KB） | 专利 | 开放获取 | CC BY-NC-SA | Application Full Text | ||
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