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加权分数傅里叶变换在采样重构中的应用 被引量：8

Application of weighted-type fractional Fourier transform in sampling and reconstruction
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摘要 针对频域非带限信号的重构问题,提出了一种基于加权分数傅里叶变换的采样与重构算法,并利用信号加权分数傅里叶变换在加权分数域的特性,得到了信号可完全重构的条件。理论分析和仿真结果表明,在满足给定误差的条件下,该算法能够以低于香农重构所需的采样率实现对信号的恢复,且简单易行,可利用FFT快速算法实现。 A new sampling and reconstruction scheme based on the weighted-type fractional Fourier transform （WFRFT） was proposed for a class of signals which were nonbandlimited in the frequency domain. Based on the representation of the signal in the WFRFT domain, conditions under which exact recovery of the signal is possible were derived. Theoreti- cal analysis and simulation results show that the proposed scheme can perfectly recover signal below the sampling rate of Shannon reconstruction within the given error tolerance, and it can be implemented efficiently with the fast Fourier transform （FFT） algorithm.
作者 史军 迟永钢 沙学军 张乃通
机构地区 哈尔滨工业大学通信技术研究所
出处 《通信学报》 EI CSCD 北大核心 2010年第4期88-93,共6页 Journal on Communications
基金 国家重点基础研究发展计划("973"计划)资助项目(2007CB310606) 新一代宽带无线移动通信网科技重大专项基金资助项目(2009ZX03004-001) 黑龙江省自然科学基金资助项目(F200906)~~
关键词 分数傅里叶变换 加权分数傅里叶变换 采样定理 信号重构 fractional Fourier transform weighted-type fractional Fourier transform sampling theorem signal recovery
分类号 TN911 [电子电信—通信与信息系统]
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参考文献22

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共引文献29

同被引文献58

  • 1陈树人,卢强,仇华铮.基于LabVIEW的谷物联合收获机割台振动测试分析[J].农业机械学报,2011,42(S1):86-89. 被引量：26
  • 2梅林,沙学军,冉启文,张乃通.四项加权分数Fourier变换在通信系统中的应用研究[J].中国科学：信息科学,2010,40(5):732-741. 被引量：15
  • 3李天华,施国英,魏珉,汪健民,侯加林.番茄维生素C含量近红外预测光谱的小波去噪[J].农业机械学报,2013,44(S1):200-204. 被引量：14
  • 4张卫强,陶然.分数阶傅里叶变换域上带通信号的采样定理[J].电子学报,2005,33(7):1196-1199. 被引量：30
  • 5洪锐,郭继昌.基于DCT与神经网络的语音增强方法[J].电子测量技术,2006,29(6):44-45. 被引量：1
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引证文献8

二级引证文献37

通信学报
2010年 第4期

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