Quadratic-phase wave packet transform
نویسندگان
چکیده
The quadratic-phase Fourier transform (QPFT) has gained much popularity in recent years because of its applications image and signal processing. However, the QPFT is inadequate for localizing spectrum, which required some applications. In this paper, wave packet (QP-WPT) proposed to address problem, based on (WPT) QPFT. Firstly, we propose definition QP-WPT give relation with windowed (WFT). Secondly, several notable inequalities important properties newly defined QP-WPT, such as boundedness, reconstruction formula, Moyal’s reproducing kernel are derived. Finally, formulate classes uncertainty inequalities, Leib’s principle, logarithmic inequality Heisenberg inequality.
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ژورنال
عنوان ژورنال: Optik
سال: 2022
ISSN: ['0030-4026', '1618-1336']
DOI: https://doi.org/10.1016/j.ijleo.2022.169120