论文标题
线性规范小波变换和相关的不确定性原理
Linear canonical wavelet transform and the associated uncertainty principles
论文作者
论文摘要
我们定义了一种新型的时频分析工具，即线性典型小波变换（LCWT），并研究了其一些重要特性，例如内部产品关系，重建公式以及其范围。我们为LCWT获得了Donoho-Stark和Lieb的不确定性原则，并为其基本支持提供了下限。我们还为拟议的LCWT提供了Shapiro的平均分散定理。
We define a novel time-frequency analyzing tool, namely linear canonical wavelet transform (LCWT) and study some of its important properties like inner product relation, reconstruction formula and also characterize its range. We obtain Donoho-Stark's and Lieb's uncertainty principle for the LCWT and give a lower bound for the measure of its essential support. We also give Shapiro's mean dispersion theorem for the proposed LCWT.
