An Interplay of Wigner–Ville Distribution and 2D Hyper-Complex Quadratic-Phase Fourier Transform
نویسندگان
چکیده
Two-dimensional hyper-complex (Quaternion) quadratic-phase Fourier transforms (Q-QPFT) have gained much popularity in recent years because of their applications many areas, including color image and signal processing. At the same time, Wigner–Ville distribution (WVD) analysis processing cannot be ruled out. In this paper, we study two-dimensional associated with transform (WVD-QQPFT) by employing advantages quaternion (WVD). First, propose definition WVD-QQPFT its relationship classical setting. Next, investigate general properties newly defined WVD-QQPFT, complex conjugate, symmetry-conjugation, nonlinearity, boundedness, reconstruction formula, Moyal’s Plancherel formula. Finally, convolution correlation theorems WVD-QQPFT.
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ژورنال
عنوان ژورنال: Fractal and fractional
سال: 2023
ISSN: ['2504-3110']
DOI: https://doi.org/10.3390/fractalfract7020159