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| 題 名 | An Analysis of Finite Word-Length Effect on Eigenvalue Perturbation and Bit Requirement by Using δ Operator=應用δ轉換法則分析有限字元長度對於系統固有值及位元需求之影響 |
|---|---|
| 作 者 | 宋馭民; 龔明覺; | 書刊名 | 中正嶺學報 |
| 卷 期 | 23:1 1994.07[民83.07] |
| 頁 次 | 頁109-123 |
| 分類號 | 310.153 |
| 關鍵詞 | q 轉換法則; δ轉換法則; 固有值變化; 靈敏度; 位元需求; q operator; δ operator; Eigenvalue perturbation; Sensitivity; Bits requirement; |
| 語 文 | 英文(English) |
| 中文摘要 | 當數位系統在硬體設備上實體化或是在一般計算機上做模擬時,所運 算之數值即不再是無限精準之數。這是因為有限字元對數字所產生之影響,使得 系統的性能產生不準確之故。在本篇論文中,提出-δ轉換法則.考量系統矩陣 內之係數受到量化影響時,針對其固有值之變化,靈敏度及位元需求等問題進行 分析探討。並與傳統之q轉換法則作一比較,所得結果顯示以δ轉換法則具有較 優越之性質。 |
| 英文摘要 | When digital systems are implemented on hardware devices or simulated on a general purposecomputer, numbers are no more in infinite precision representation. Finite word-length effect onnumbers will cause inaccuracies in system performance. In this paper, an alternate method by usingδ operator has been presented to analyze the problems of eigenvalue perturbation, sensitivity andbits requirement which are caused by the quantization effect on coefficients in system matrix. Underthe finite word-length consideration, it is shown that the δ operator has superiority in numerical resultsas a comparison with the traditional forward-shift operator (q operator). |
本系統中英文摘要資訊取自各篇刊載內容。