In this article, we establish theory of Parseval framelets associated to generalized
multiresolution analysis (GMRA) in the setting of reducing subspace for the local field of …

A constructive algorithm based on the theory of spectral pairs for constructing nonuniform
wavelet basis in L 2 (ℝ) L^2(\mathbbR) was considered by Gabardo and Nashed (J Funct …

Nonuniform nonhomogeneous dual wavelet frames in Sobolev spaces in $$L^2({\mathbb {K}})$$
| Afrika Matematika Skip to main content SpringerLink Account Menu Find a journal Publish …

In real life applications not all signals are obtained by uniform shifts; so there is a natural
question regarding analysis and decompositions of these types of signals by a stable …

Wavelet frames have gained considerable popularity during the past decade, primarily due
to their substantiated applications in diverse and widespread fields of engineering and …

Time-frequency analysis of signals had its origin almost 60 years ago, there have been
major developments of the time-scale and time-frequency analysis approach in the last few …

In this paper, we introduce the notion of nonhomogeneous dual wavelet frames in Sobolev
spaces over local fields. We provide the complete characterization of nonhomogeneous …

Tight wavelet frames are different from the orthonormal wavelets because of redundancy. By
sacrificing orthonormality and allowing redundancy, the tight wavelet frames become much …

为解决台区识别问题, 引入小波框架的基本理论为依据, 使各智能电能表在使用相同的一个小波
框架, 分别对自身采集的电压数据进行塔式分解, 并对分解子信号进行分帧处理后计算其能量的 …

Wavelet frames are different from the orthonormal wavelets because of redundancy. By
sacrificing orthonormality and allowing redundancy, wavelet frames become much easier to …