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- Generalized Source Coding Theorems and Hypothesis Testing: Part 1--Information Measures
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| 題 名 | Generalized Source Coding Theorems and Hypothesis Testing: Part 1--Information Measures=來源編碼定理與檢定測試的一般定理: 第一部份--訊息量度 |
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| 作 者 | 陳伯寧; | 書刊名 | 中國工程學刊 |
| 卷 期 | 21:3 1998.05[民87.05] |
| 頁 次 | 頁283-292 |
| 分類號 | 448.6 |
| 關鍵詞 | 消息理論; 近似平均分割性質; 來源編碼定理; 檢定測試; 紐門皮爾森錯誤指數; Information theory; Entropy; Mutual information; Divergence; E-capacity; |
| 語 文 | 英文(English) |
| 中文摘要 | 本論文將介紹ε-熵率、ε-相互訊息率與ε-偏差率的表示式,這三個表示 式是擴展Han與Verdu的極下/極上--熵/相互訊息/偏差率而得到的,式中 包含了對應近似訊息機率譜。我們將分析它們的代數性質,舉例說明其於ε-管 道傳輸能力的計算上之應用。在此研究的第二部份,這三個公式將被用來證明 區塊碼來源編碼一般定理與紐門皮爾森檢定測試第二類錯誤指數之一般公式。 |
| 英文摘要 | Expressions for ε-entropy rate, ε-mutual information rate and ε- divergence rate are introduced. These quantities, which consist of the quantiles of the asymptotic information spectra, generalize the inf/supentropy/ infomration/divergence rates of Han and Verdu. The algebraic properties of these information measures are rigorously analyzed, and examples illustrating their use in the computation of the ε-capacity are presented. In PartⅡ of this work, these measures are employed to prove general source coding theorems for block codes, and the general formula of the Neyman-Pearson hypothesis testing type-Ⅱ error exponent subject ot upper bounds on the type-Ⅰ error probability. |
本系統中英文摘要資訊取自各篇刊載內容。