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  • 标题:Computing the Fourier Transformation over Temporal Data Streams (Invited Talk)
  • 本地全文:下载
  • 作者:Michael H. B{"o}hlen ; Muhammad Saad
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2019
  • 卷号:147
  • 页码:1-4
  • DOI:10.4230/LIPIcs.TIME.2019.1
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:In radio astronomy the sky is continuously scanned to collect frequency information about celestial objects. The inverse 2D Fourier transformation is used to generate images of the sky from the collected frequency information. We propose an algorithm that incrementally refines images by processing frequency information as it arrives in a temporal data stream. A direct implementation of the refinement with the discrete Fourier transformation requires O(N^2) complex multiplications to process an element of the stream. We propose a new algorithm that avoids recomputations and only requires O(N) complex multiplications.
  • 关键词:Data streams; Fourier transform; time-varying data
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