| 积分半径可控地形改正FFT算法的研究 |
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| 引用本文： | 庞振兴,张传定.积分半径可控地形改正FFT算法的研究[J].测绘科学,2009,34(4). |
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| 作者姓名： | 庞振兴 张传定 |
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| 作者单位： | 1. 西安市测绘研究所,西安,71005422
2. 信息工程大学,测绘学院,郑州,450052 |
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| 基金项目： | 全国博士论文作者专项基金资助项目(200344) |
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| 摘 要： | 地形改正等地球重力场元量的FFT算法(平面二维、球面近似二维、球面单带)研究已基本成熟,并广泛应用于科研与工程实践。但是FFT算法也有其固有的缺陷,即存在着频谱混迭、泄漏等现象。本文利用离散卷积分具有Toeplitz矩阵的性质,将其拓展为循环Toeplitz与拓展观测数据矢量的乘积,利用循环Toeplitz的Fourier表示,实现离散卷积分的快速算法。该算法与离散求和等价,当数据量较大时,可明显地提高计算速度。
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| 关 键 词： | 地形改正 FFT算法 离散卷积分 Toeplitz矩阵 |
Terrain correction computation by controlling the integral radius using the FFT method |
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| PANG Zhen-xing,ZHANG Chuan-ding.Terrain correction computation by controlling the integral radius using the FFT method[J].Science of Surveying and Mapping,2009,34(4). |
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| Authors: | PANG Zhen-xing ZHANG Chuan-ding |
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| Abstract: | The study of calculating the terrain correction and other elements in the gravity fields using FFT algorithm is basically mature,and this method is popularly applying in the scientific research and the engineering practices.But FFT algorithm has its own illogicality in nature that is spectrum overlapping and leakiness and so on.This essay uses the discrete convolution having the Toeplitz matrix characteristics to prolongate it to cyclic Toeplitz matrix and then multiplying it with the prolongated surveying ... |
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| Keywords: | terrain correction FFT algorithm the discrete convolution Toeplitz matrix |
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