Dynamics in fractional order systems has been discussed extensively for presenting a possible guidance in the field of applied mathematics and interdisciplinary science. Within …
Ultrashort Laser Pulse Phenomena, Second Edition serves as an introduction to the phenomena of ultra short laser pulses and describes how this technology can be used to …
HM Ozaktas, MA Kutay - 2001 European Control Conference …, 2001 - ieeexplore.ieee.org
A brief introduction to the fractional Fourier transform and its properties is given. Its relation to phase-space representations (time-or space-frequency representations) and the concept …
HM Ozaktas, O Arikan, MA Kutay… - IEEE Transactions on …, 1996 - ieeexplore.ieee.org
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 …
In this study the degree p= 1 is assigned to the ordinary Fourier transform. The fractional Fourier transform, for example with degree P= 1/2, performs an ordinary Fourier transform if …
Fourier transforms of fractional order a are defined in a manner such that the common Fourier transform is a special case with order a= 1. An optical interpretation is provided in …
C Candan, MA Kutay… - IEEE Transactions on …, 2000 - ieeexplore.ieee.org
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 …
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 …
A concise introduction to the concept of fractional Fourier transforms is followed by a discussion of their relation to chirp and wavelet transforms. The notion of fractional Fourier …