Discrete-time scale-shift approach for wavelet construction and analysis

被引：0
|
作者：
Ngom, Mor [1 ]
机构：
[1] Univ Reims, CReSTIC, EA 3804, Moulin Housse BP 1039, F-51687 Reims 2, France
来源：
RESULTS IN APPLIED MATHEMATICS | 2023年 / 20卷
关键词：
Discrete-time scale-shift; Voice transform; Wavelet transform; White noise; SIGNAL RECOVERY; DECOMPOSITION;
D O I：
10.1016/j.rinam.2023.100406
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We provide a sufficient condition to construct a wavelet family from a purely discrete-time signal. The construction is based on an exact mathematical definition of the scale-shift operator in discrete-time and strongly motivated by a strict equivalence between voice transform and wavelet coefficients of a discrete-time signal. Particular classes of signals which satisfy this condition are given and furthers analysis are also considered.
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页数：8
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