基于有限新息率的THz脉冲信号采样和恢复
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国家自然科学基金资助项目(61271290,61172137,61072108,61372136);中央高校基本科研业务费专项资金资助项目(7214497002);新世纪人才基金资助项目(NCET-10-0668)

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THz pulse signal sampling and recovery based on the finite rate of innovation
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    摘要:

    为了降低硬件设计的难度,采用有限新息率(FRI)理论,通过选择合适的采样核函数,对太赫兹脉冲信号以高于信号的新息率的速率进行采样,进而利用子空间算法对它的自由参量进行估计,重建出原始信号。一般信号的新息率远远低于信号的带宽,这样就大大降低了采样速率。通过延时估计误差,验证FRI采样理论对太赫兹脉冲信号采样的正确性以及子空间算法对信号重建的有效性。

    Abstract:

    In the traditional signal sampling based on Nyquist sampling theorem, the sampling rate must be at least two times of signal bandwidth in order to guarantee the non distortion in recovering the original signal; but for terahertz pulse signal, its pulse width is extremely narrow, up to picosecond level, therefore, its bandwidth is up to hundreds of GHz, that will bring great pressure to the hardware if we follow the traditional Nyquist sampling frequency, and sometimes cannot be achieved. A new sampling theory-Finite Rate of Innovation(FRI) theory is introduced. By choosing suitable sampling kernel function, sampling can be performed at the rate higher than the signal rate of innovation. The free parameters can be estimated through subspace algorithm, and the original signal can be reconstructed. The sampling accuracy of FRI sampling theory and the effectiveness of subspace algorithm for signal reconstruction are verified through the time delay estimation error of the THz pulse signal.

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王 敏,邱于保.基于有限新息率的THz脉冲信号采样和恢复[J].太赫兹科学与电子信息学报,2015,13(3):378~381

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  • 收稿日期:2014-04-24
  • 最后修改日期:2014-08-12
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  • 在线发布日期: 2015-07-13
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