When it comes to “phase measurement” or “quantitative phase imaging”, many people will
automatically connect them with “laser” and “interferometry”. Indeed, conventional …

Signal processing can be found in many applications and its primary goal is to provide
underlying information on specific problems for the purpose of decision making. Traditional …

An algorithm for efficient and accurate computation of the fractional Fourier transform is
given. For signals with time-bandwidth product N, the presented algorithm computes the …

An electrocardiogram (ECG) is world's most recognized, widely accepted and essential
primitive diagnostic tool to assess health status of heart of a subject (patient) by analyzing its …

The transverse spatial effects observed in photon pairs produced by parametric down-
conversion provide a robust and fertile testing ground for studies of quantum mechanics …

We propose and consolidate a definition of the discrete fractional Fourier transform that
generalizes the discrete Fourier transform (DFT) in the same sense that the continuous …

Fractional Fourier transform (FRFT) is a generalization of the Fourier transform, rediscovered
many times over the past 100 years. In this paper, we provide an overview of recent …

The linear transform kernel for fractional Fourier transforms is derived. The spatial resolution
and the space–bandwidth product for propagation in graded-index media are discussed in …

This book deals with theoretical bases of the modern optics division concerned with
coherent light fields with singularities characterized by phase uncertainty. Singular light …

The discrete Fourier transform (DFT) has found tremendous applications in almost all fields,
mainly because it can be used to match the multiple frequencies of a stationary signal with …