The convolution-based windowed free metaplectic transform

被引：0
作者：
Jan, Huzaifa [1 ]
Bhat, M. Younus [1 ]
机构：
[1] Islamic Univ Sci & Technol, Dept Math Sci, Kashmir 192122, Jammu & Kashmir, India
来源：
INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | 2024年
关键词：
Free metaplectic transform; symplectic matrix; metaplectic convolution; convolution-based windowed free metaplectic transform; FOURIER-TRANSFORM;
D O I：
10.1142/S0219691324500553
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
In this paper, we introduce a novel time-frequency representation tool coined as the convolution-based windowed free metaplectic transform (CWFMT) by combining the merits of free metaplectic transform (FMT) and window transform via free metaplectic convolution. First, the definition of the proposed transform is given and some related properties like Parseval's formula, inversion theorem and the characterization of range of this transform are obtained. Second, the generalized convolution theorem for CWFMT is proposed by employing the convolution structure in window function as well.
引用
收藏
页数：26
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