线性正则变换框架下的波包变换

Int. J. Wavelets Multiresolution Inf. Process. Pub Date : 2021-11-13 DOI:10.1142/s0219691321500521

A. Prasad, Z. A. Ansari

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引用次数: 0

摘要

本文在线性正则变换(LCT)和波包变换(WPT)思想的基础上，引入了线性正则波包变换(LCWPT)的概念。讨论了LCWPT的Parseval恒等式和一些性质。给出了LCWPT的反演公式。此外，定义了lcwpt的组成，并研究了与之相关的一些性质。得到了墨西哥帽小波函数的LCWPTs。

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The wave packet transform in the framework of linear canonical transform

In this paper, we introduce the concept of linear canonical wave packet transform (LCWPT) based on the idea of linear canonical transform (LCT) and wave packet transform (WPT). Parseval’s identity and some properties of LCWPT are discussed. The inversion formula of LCWPT is formulated. Moreover, the composition of LCWPTs is defined and some properties are studied related to it. The LCWPTs of Mexican hat wavelet function are obtained.

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Int. J. Wavelets Multiresolution Inf. Process.

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