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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

梁红 张琦 杨长生

梁红, 张琦, 杨长生. 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. doi: 10.3724/SP.J.1146.2009.00718
引用本文: 梁红, 张琦, 杨长生. 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. doi: 10.3724/SP.J.1146.2009.00718
Liang Hong, Zhang Qi, Yang Chang-Sheng. A Generalized Robust Chinese Remainder Theorem and Its Application to Frequency Estimation with Undersampling[J]. Journal of Electronics & Information Technology, 2010, 32(8): 1802-1805. doi: 10.3724/SP.J.1146.2009.00718
Citation: Liang Hong, Zhang Qi, Yang Chang-Sheng. A Generalized Robust Chinese Remainder Theorem and Its Application to Frequency Estimation with Undersampling[J]. Journal of Electronics & Information Technology, 2010, 32(8): 1802-1805. doi: 10.3724/SP.J.1146.2009.00718

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

doi: 10.3724/SP.J.1146.2009.00718
基金项目: 

国家自然科学基金(60702067)资助课题

A Generalized Robust Chinese Remainder Theorem and Its Application to Frequency Estimation with Undersampling

  • 摘要: 该文针对传统中国剩余定理在余数有误差时重构整数不稳健性的缺陷,提出了采用一组非互质的模数和相应的有误差的余数估计任意正整数的广义稳健中国剩余定理,给出了详细的定理证明,得出了算法重构整数公式和误差上限表达式。将该定理用于欠采样下信号频率估计,仿真实例验证了所提算法的稳健性和实际工程应用前景。
  • Krishna B, Krishna H C, and Lin K Y. ComputationalNumber Theory and Digital Signal Processing: FastAlgorithms and Error Control Techniques[M]. CRC Press,Boca Raton, FL, USA, 1994: 1-5.[2]Grossschadl J. The Chinese Remainder Theorem and itsapplication in a high-speed RSA crypto chip[C]. 16th AnnualConference on Computer Security Applications, New Orleans,USA, 2000: 384-393.[3]Ding C, Pei D, and Salomaa A. Chinese Remainder Theorem:Applications in Computing, Coding, Cryptography[M].Singapore, World Scientific, 1996: 2-10.[4]Goldreich O, Ron D, and Sudan M. Chinese remainderingwith errors[J].IEEE Transactions on Information Theory.2000, 46(7):1330-1338[5]Guruswami V, Sahai A, and Sudan M. Soft-decisiondecoding of Chinese remainder codes. in Proc[C]. 41st IEEESymp. Foundations Computer Science, Redondo Beach, CA,2000: 159-168.[6]Xia X G and Liu K. A generalized Chinese remaindertheorem for residue sets with errors and its application infrequency determination from multiple sensors with lowsampling rates[J].IEEE Signal Processing Letters.2005,12(11):768-771[7]Xia X G and Wang G. Phase unwrapping and a robustChinese remainder theorem[J].IEEE Signal ProcessingLetters.2007, 14(4):247-250[8]Li G, Xu J, Peng Y N, and Xia X G. An efficientimplementation of robust phase- unwrapping algorithm[J].IEEE Signal Processing Letters.2007, 14(6):393-396[9]Li X and Xia X G. A fast robust Chinese remainder theorembased phased unwrapping algorithm[J].IEEE SignalProcessing Letters.2008, 15(10):665-668
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出版历程
  • 收稿日期:  2009-05-12
  • 修回日期:  2010-05-18
  • 刊出日期:  2010-08-19

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