Precise Approximation Formula for Fourier Transform of Functions with Exponential Decay for the Whole Frequency

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Other Title
  • 指数減衰する関数に対する全周波数領域におけるフーリエ変換の高精度な近似公式

Abstract

<p>Abstract. For Fourier transform with a limited frequency domain, an approximation formula using continuous Euler transform has been devised by Ooura, and its error analysis has been done by Tanaka. In this paper, we construct an approximation formula for Fourier transform in the whole frequency domain for an exponentially decreasing function by combining Sinc method, which is one of function approximation methods, and Ooura’s formula, perform error analysis and confirm its correctness by numerical experiments. As an extension, we also devise a method to achieve the given approximation error.</p>

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Details 詳細情報について

  • CRID
    1390292561183579776
  • DOI
    10.11540/jsiamt.32.2_75
  • ISSN
    24240982
  • Text Lang
    ja
  • Data Source
    • JaLC
    • KAKEN
  • Abstract License Flag
    Disallowed

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