Fourier transform (FT), and its generalizations, the fractional Fourier transform (FrFT) and
linear canonical transform (LCT) are integral transforms that are useful in optics, signal …

The well-known quaternion algebra is a four-dimensional natural extension of the field of
complex numbers and plays a significant role in various aspects of signal processing, …

In the article, “Windowed special affine Fourier transform” in J. Pseudo-Differ. Oper. Appl. (2020),
we introduced the notion of windowed special affine Fourier transform (WSAFT) as a …

Linear canonical transform is a three-parameter class of linear integral transformation,
which has found many applications in optics, filter design, speech, image, video, and signal …

With the aim to circumvent the limitations of the special affine Fourier transform, we introduce
a novel time–frequency transform namely the windowed special affine Fourier transform. …

In this article, we introduce a novel scaling Wigner distribution by intertwining the merits of
fractional instantaneous auto-correlation and the linear canonical transform. We initiate the …

The coupled fractional Fourier transform is a much recent ramification of the two-dimensional
fractional Fourier transform, wherein the kernel is not a tensor product of one-dimensional …

For the efficient identification of quantum states, we propose the notion of linear canonical
wavelet transform in the framework of quantum mechanics. Using the machinery of Dirac …

The Wigner distribution one of the most celebrated time–frequency tool for analyzing non-transient
signals and has been widely employed in signal processing and other allied fields. In …

In this article, we introduce the notion of two-sided quaternion wave-packet transform which
inherits the advantages of both the quaternion windowed Fourier and wavelet transforms …