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Volume 20 Issue 1
 
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Article Navigation >  Journal of Unmanned Undersea Systems  > 2012  >  20(1): 019-23
GAO Yu-bing, LIANG Hong, DU Jin-xiang. Multiple-Frequency Estimation Method with Undersampled Waveform[J]. Journal of Unmanned Undersea Systems, 2012, 20(1): 019-23. doi: 10.11993/j.issn.1673-1948.2012.01.004
Citation: GAO Yu-bing, LIANG Hong, DU Jin-xiang. Multiple-Frequency Estimation Method with Undersampled Waveform[J]. Journal of Unmanned Undersea Systems, 2012, 20(1): 019-23. doi: 10.11993/j.issn.1673-1948.2012.01.004
shu

Multiple-Frequency Estimation Method with Undersampled Waveform

doi: 10.11993/j.issn.1673-1948.2012.01.004
  • 1.

    XI′an Representative Bureau, Naval Armament Department, Xi′an 710054, China

  • 2.

    College of Marine Engineering, North-western Polytechnical University, Xi′an 710072, China

  • Received Date: 2011-04-11
  • Rev Recd Date: 2011-06-10
  • Publish Date: 2012-02-20
    Abstract
  • In some applications, such as signal processing and radar systems, it is preferred that the range of the fre-quencies is as large as possible for a given sampling rate and the sampling rate is below the Nyquist rate. In both cases, frequencies estimation from undersampled waveforms is necessary. In this paper, a generalized robust Chinese remain-der theorem (GRCRT) for reconstructing multiple positive real numbers is presented, where modules are not pair-wisely co-prime and the remainders with errors. In theorem 1, the sufficient condition for the multiple real numbers to satisfy is given, where all remainders have errors and we can determine which one in the remainder set is the remainder of any real number. And an approach to determine unique solution of multiple real numbers from the remainder set with errors is proposed in theorem 2. Simulation results show that the present method is efficient for estimating multiple frequencies from multiple undersampled waveforms with sampling rate below the Nyquist rate, and it can be applied to such areas as digital signal processing.

     

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    • References(9)
  • [1]
    Krishna B, Krishna H C, Lin K Y. Computational Number Theory and Digital Signal Processing: Fast Algorithms and Error Control Techniques[M]. CRC Press, Boca Raton, FL, USA, 1994: 1-5.
    [2]
    Grossschadl J. The Chinese Remainder Theorem and its App- lication in a High-speed RSA Crypto Chip[C]//16th Annual Conference on Computer Security Applications, New Orleans, USA, 2000: 384-393.
    [3]
    Ding C, Pei D, Salomaa A. Chinese Remainder Theorem: Applications in Computing, Coding, Cryptography[M]. Sin- gapore: World Scientific, 1996: 2-10.
    [4]
    Xia X G , Wang G. Phase Unwrapping and A Robust Chinese Remainder heorem[J]. IEEE Signal Processing Letters, 2007, 14(4): 247-250.
    [5]
    Li X W, Liang H, Xia X G. A Robust Chinese Remainder Theorem with its Applications in Frequency Estimation from Undersampled Waveforms[J]. IEEE Transactions on Signal Processing, 2009, 57(11): 4314-4322.
    [6]
    梁红, 张琦. 广义稳健的中国剩余定理及其在欠采样率下频率估计中的应用[J]. 电子与信息学报, 2010, 32(8): 1802-1805.

    Liang Hong, Zhang Qi. A Generalized Robust Chinese Re- mainder Theorem and Its Application to Frequency Esti- ma-tion with Undersampling[J]. Journal of Electronics & In- formation Technology, 2010, 32(8): 1802-1805.
    [7]
    Zhou G C, Xia X G. Multiple Frequency Detection in Un- dersampled Complex-valued Waveforms with Close Multiple Frequencies[J]. Electronics Letters, 1997, 33(15): 1294-1295.
    [8]
    Li G, Xu J, Peng Y N, et al. An Efficient Implementation of Robust Phase Unwrapping Algorithm[J], IEEE Signal Proce- ssing Letters, 2007, 14(6): 393-396.
    [9]
    Li X, Xia X G. A Fast Robust Chinese Remainder Theorem Based Phased Unwrapping Algorithm[J]. IEEE Signal Proce- ssing Letters, 2008, 15(10): 665-668.
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