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- W2546371899 abstract "Starting with investigating the Haar scaling function,the scaling coefficient function is first presented.Then the Battle Lemarie basis is extended to the generalized Battle Lemarie basis by introducing time shift factor to the scaling coefficient function of the Battle Lemarie.The rationality of the extending method,which is used in this paper,is theoretically proved.Some basic properties of the generalized Battle Lemarie basis are also discussed.Our research results show that all the Battle Lemarie bases inherit many good properties of the original Battle Lemarie bases,such as orthonormality,time frequency localization,exponential decay and so on.Meanwhile a series of neoteric symmetric multiresolution analysis basis are generated.The generalized Battle Lemarie wavelets are better than the corresponding original Battle Lemarie wavelets in regularity." @default.
- W2546371899 created "2016-11-04" @default.
- W2546371899 creator A5021666829 @default.
- W2546371899 date "2003-01-01" @default.
- W2546371899 modified "2023-09-25" @default.
- W2546371899 title "The Generalized Battle-Lemarié Wavelets" @default.
- W2546371899 hasPublicationYear "2003" @default.
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