貝林-羅定理與蓋柏展開式
貝林-羅定理與蓋柏展開式
王昆湶
慈濟技術學院醫務管理系
摘 要
在這一論文中，作者延續小波展開式的討論，針對蓋柏展開式尋求其充分必要條件。在此結果的應用有窗式小波的充分必要條件的獲得。另一重要的結果是，由此推得廣義的貝林－羅定理。
關鍵字：蓋柏展開式、貝林－羅定理、小波。
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Balian-Low Theorem and the expansion of Gabor Type
Kunchuan Wang1,2
Department of Health Administration Tzu-Chi College of Technology
Abstract
In this note, the author extends study on expansions of wavelet type to Gabor type. We obtain the necessary and sufficient conditions of expansions of Gabor type. There are two applications in this note; one is the application of necessary and sufficient conditions of wavelets of window type. The other is the application of Balian-Low Theorem. This means we generalize the usual Balian-Low Theorem to more general cases (not necessary coming from a frame).
