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  • 标题:Support-Limited Generalized Uncertainty Relations on Fractional Fourier Transform
  • 本地全文:下载
  • 作者:Xiaotong Wang ; Guanlei Xu
  • 期刊名称:Journal of Signal and Information Processing
  • 印刷版ISSN:2159-4465
  • 电子版ISSN:2159-4481
  • 出版年度:2015
  • 卷号:06
  • 期号:03
  • 页码:227-237
  • DOI:10.4236/jsip.2015.63021
  • 语种:English
  • 出版社:Scientific Research Publishing
  • 摘要:This paper investigates the generalized uncertainty principles of fractional Fourier transform (FRFT) for concentrated data in limited supports. The continuous and discrete generalized uncertainty relations, whose bounds are related to FRFT parameters and signal lengths, were derived in theory. These uncertainty principles disclose that the data in FRFT domains may have much higher concentration than that in traditional time-frequency domains, which will enrich the ensemble of generalized uncertainty principles.
  • 关键词:Discrete Fractional Fourier Transform (DFRFT);Uncertainty Principle;Frequency-Limiting Operator
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