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題 名 | 取樣定理內的正交級數之訊號表達精度與收歛性=Accuracy and Convergence Properties of Signal Representation by a Series Based on an Orthonormal Basis in the Sampling Theorem |
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作 者 | 蔡展榮; | 書刊名 | 測量工程 |
卷 期 | 40:3 1998.09[民87.09] |
頁 次 | 頁45-70 |
分類號 | 440.92 |
關鍵詞 | 有限頻寬的; 一致收斂; 取樣定理; 混淆效應; Band-limited; Uniform convergence; Sampling theorem; Aliasing effect; |
語 文 | 中文(Chinese) |
中文摘要 | 本文旨在探討取樣定理在實務應用上的一些特別性質,剖析蘊藏於該定理內的一 個正交線性級數之數學意義及特性,並對該級數所表達的訊號之收歛性與精度做一詳細的 實驗與分析。此外,本研究也給予筆者一個靈感,構想出一套具有方便描述真實碎形訊號 之潛力的內插近似之新方法。 |
英文摘要 | This paper describes some special properties of the sampling theorem in practice and the related series defined by an orthonormal basis. The mathematical meanings and characteristics of this series are analyzed. Also, numberical experiments are used to investigate the accuracy and convergence of signal representation by this series. A set of new approximation methods representing real/fractal signals could be developed based on findings made in this study. |
本系統中英文摘要資訊取自各篇刊載內容。