Updating the original, Transforms and Applications Handbook, Third Edition solidifies its
place as the complete resource on those mathematical transforms most frequently used by …

We deal with the problem of efficient and accurate digital computation of the samples of the
linear canonical transform (LCT) of a function, from the samples of the original function. Two …

The numerical approximation of the linear canonical transform (LCT) is of importance in
modeling first order optical systems and many signal processing applications. We have …

Convolution and correlation operations are very important in signal processing community,
as well as in sampling, filter design and applications. In this study, the authors derive the …

The linear canonical transform (LCT) has been shown to be one of the most powerful tools in
signal processing, and in this paper, we propose an adaptive approach for the computation …

The linear canonical transform provides a mathematical model of paraxial propagation
though quadratic phase systems. We review the literature on numerical approximation of this …

The expression of gyrator transform (GT) is rewritten by using convolution operation, from
which GT can be composed of phase-only filtering, Fourier transform and inverse Fourier …

Linear canonical transforms (LCTs) are of importance in many areas of science and
engineering with many applications. Therefore, a satisfactory discrete implementation is of …

Diffraction and holography are fertile areas for application of signal theory and processing.
Recent work on 3DTV displays has posed particularly challenging signal processing …

We report a fast and accurate algorithm for numerical computation of two-dimensional non-
separable linear canonical transforms (2D-NS-LCTs). Also known as quadratic-phase …