| 任意点正弦波信号频率估计的快速算法 |
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| 引用本文： | 胥嘉佳,刘渝,邓振淼.任意点正弦波信号频率估计的快速算法[J].南京航空航天大学学报,2008,40(6). |
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| 作者姓名： | 胥嘉佳 刘渝 邓振淼 |
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| 作者单位： | 南京航空航天大学信息科学与技术学院,南京,210016 |
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| 摘 要： | 研究了任意点正弦波信号频率估计的快速算法,先对截短信号序列(2的整数次幂长度)用M-Rife算法进行频率初估计并得到结果^f,以此作为中心频率,选取^f 21Lfs,-21Lfs两个频率对信号作L点DFT,然后对这两条谱线作频率插值(即Rife算法)得到频率的精确估计。仿真结果表明本算法性能稳定,略优于M-Rife算法,接近克拉美-罗限(CRLB)。该算法便于在DSP,FPGA等器件上实现快速频率估计。
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| 关 键 词： | 频率估计 DFT系数 克拉美-罗限 |
Quick Algorithm for Frequency Estimation of Sinusoid Signal of Any Length |
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| Xu Jiajia,Liu Yu,Deng Zhenmiao.Quick Algorithm for Frequency Estimation of Sinusoid Signal of Any Length[J].Journal of Nanjing University of Aeronautics & Astronautics,2008,40(6). |
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| Authors: | Xu Jiajia Liu Yu Deng Zhenmiao |
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| Abstract: | A quick algorithm is studied for frequency estimation of sinusoid signal of any length.The truncated signal series (the length is integral power of 2) is estimated by using M-Rife algorithm,and the result f^ is obtained.The result is used as a central frequency,and two frequencies(f^ f^s/2L and f^-f^s/2L) are chosen.Then DFT of any length of L is done with the two chosen frequencyies.Finally,through the interpolation with the two spectral lines,an accurate estimation is obtained.Simulation results show that the performance of the algorithm is stable,and is better than that of M-Rife algorithm,approaching to CRLB(Cramer-Rao low bound).The algorithm is convenient for realizing quick frequency estimation on DSP and FPGA,etc. |
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| Keywords: | frequency estimation DFT coefficient Cramer-Rao lower bound(CRLB) |
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