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題 名 | Fractional Order Discrete Hartley Transform=分數級數的離散式哈特利轉換 |
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作 者 | 游國幹; | 書刊名 | 龍華學報 |
卷 期 | 16 民89.12 |
頁 次 | 頁181-186 |
分類號 | 448.5 |
關鍵詞 | 離散式哈特利轉換; 分數級數的離散式哈特利轉換; 分數級數的離散式傅氏轉換; Discrete hartley transform; DHT; Franctional order discrete Hartley transform; FrDHT; Fractional order Fourier transform; FrFT; |
語 文 | 英文(English) |
中文摘要 | 通常我們提到的離散式哈特利轉換(discrete Hartley transform; 簡稱為DHT)都是整數級數(integer order),信號經一次轉換至DHT轉換域( transform domain),再經一次轉換又回到時域(time domain)。至於分數級數(fractional order)的DHT則仍未有人提出,本文嘗試從數學的觀點去推導分數級數的DHT以整合(generalize)各種級數之DHT,並以信號在時域和DHT轉換域構成的平面中之旋轉解釋之。 |
英文摘要 | Generally, the discrete Hartley transform (DHT) is an integer order transform. Signal is discrete Hartley transformed from time domain to DHT transform domain, and is discrete Hartley transformed again to go back to original signal in time domain. However, the fractional order DHT (FrDHT) is still not presented. In this paper, to generalize the DHT, we develop the FrDHT from the mathematical viewpoint, and explain it as a rotation in time-transform plane. |
本系統中英文摘要資訊取自各篇刊載內容。