| 引用本文: | 吴桐,闫毅,王春梅,等.高精度分数时延滤波器设计的边界拟合Remez算法.[J].国防科技大学学报,2017,39(5):122-127.[点击复制] |
| WU Tong,YAN Yi,WANG Chunmei,et al.High-accuracy fractional delay filter design based on Remez algorithm with boundary fitting[J].Journal of National University of Defense Technology,2017,39(5):122-127[点击复制] |
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| 高精度分数时延滤波器设计的边界拟合Remez算法 |
| 吴桐1,2, 闫毅1, 王春梅1, 姚秀娟1, 陈鼎1 |
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(1. 中国科学院国家空间科学中心， 北京 100190;2. 中国科学院大学， 北京100010)
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| 摘要: |
| 在卫星星间测距模拟信号仿真及实际测试中，为提高测距模拟信号精度和系统可用带宽，提出基于边界拟合Remez算法的高精度分数时延滤波器的设计算法。该算法利用Farrow结构的多项式近似思想，采用多项式拟合Remez算法设计滤波器的冲激响应边界系数，通过多相分解实现分数时延滤波器组。该算法改善了当设计的滤波器阶数较高时冲激响应边界的不连续现象，进而降低了群时延误差，提高了精度。仿真结果表明，该算法设计的滤波器的分数时延精度得到了提高，同时系统可用带宽提高近一倍，实现时需使用的乘法器数目也有明显降低。 |
| 关键词: 测距信号 分数时延滤波器组 Remez算法 群时延误差 边界拟合算法 |
| DOI：10.11887/j.cn.201705020 |
| 投稿日期：2016-05-04 |
| 基金项目:国防科工局民用航天专业技术研究资助项目（Y46601C82S） |
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| High-accuracy fractional delay filter design based on Remez algorithm with boundary fitting |
| WU Tong1,2, YAN Yi1, WANG Chunmei1, YAO Xiujuan1, CHEN Ding1 |
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(1. National Space Science Center, Chinese Academy of Sciences, Beijing 100190, China;2.
2. University of Chinese Academy of Sciences, Beijing 100010, China)
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| Abstract: |
| In order to improve the ranging accuracy between satellites and increase the available bandwidth of systems in the simulation and tests, a design algorithm for high-accuracy fractional delay filter based on the boundary fitting Remez algorithm was proposed. The proposed algorithm used the polynomial approximation thought of Farrow structure to fit the impulse response boundary coefficients of the filter designed by Remez algorithm, and achieved fractional delay filters through the polyphase decomposition. The proposed algorithm achieved continuous impulse response boundary when high-order filters was used, while the group delay error was reduced and the accuracy was improved. The simulation results show that the proposed algorithm improves the accuracy of fractional delay filters a little, doubles the available bandwidth and reduces the number of multipliers need to be used. |
| Keywords: ranging signal fractional delay filters Remez algorithm group delay error boundary fitting algorithm |
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