On the construction of band-limited wavelets with the Prouhet–Thue–Morse sequence
On the construction of band-limited wavelets with the Prouhet–Thue–Morse sequence
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用 Prouhet-Thue-Morse 序列构造带限小波
DOI：
10.1016/j.acha.2014.05.003
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发表时间：
2015
影响因子：
2.5
通讯作者：
and I. Uehara
中科院分区：
文献类型：
--
作者：
N. Fukuda;T. Kinoshita;and I. Uehara
本文研究了利用不变圈构造带限小波。通过放宽低通滤波器支撑的条件，推广了Lemarié-Meyer小波的构造.我们证明了Prouhet-Thue-莫尔斯常数与低通滤波器无穷乘积的支集的度量有重要的联系，并且带限小波与低通滤波器的支集比Lemarié-Meyer小波的支集大.
This paper investigates the use of invariant cycles to construct band-limited wavelets. We generalize the construction of Lemarié–Meyer wavelets by relaxing the condition on the supports of the low-pass filters. We show that the Prouhet–Thue–Morse constant has an important connection with the measure of the support of the infinite product of the low-pass filter, and the band-limited wavelets with low-pass filters have larger supports than do the Lemarié–Meyer wavelets.