首页> 中文期刊>数学物理学报 >分数阶Fourier域的二维广义Hilbert变换及Bedrosian定理

分数阶Fourier域的二维广义Hilbert变换及Bedrosian定理

     

摘要

多维解析信号分析和Hilbert变换在现代信号处理理论和工程应用中有着重要的意义.该文根据解析信号在广义频域内的能量分布,提出了二维信号的方向广义Hilbert变换、全向广义Hilbert变换以及单象广义Hilbert变换等定义,并证明了时域和分数阶Fourier域内它们之间的对应关系以及推导出类似于传统Hilbert变换中的性质.同时,给出了解析信号中具有重要意义的二维广义Bedrosian定理和相应的理论证明.%Hilbert transform (HT) plays an important role in signal processing. Prom the energy distributing of analytic signals in the FRFT domain and a few classical 2D elemen tary Hilbert transform, the definitions of half-planed Hilbert transform, cross-orthant Hilbert transform and single-orthant Hilbert transform are yielded. Meanwhile, the expressions and the mapping in the time domain and the transformed domain are discussed. Moreover, some important properties and conclusions are obtained as well. Finally, we define and derive 2D Bedrosian's principle in the FRFT domain, an important property of Hilbert transform.

著录项

相似文献

  • 中文文献
  • 外文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号