Digital computation of the fractional Fourier transform

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 …

[图书][B] Time-frequency transforms for radar imaging and signal analysis

VC Chen, H Ling - 2002 - books.google.com
Here's an innovative hands-on book on time-frequency transforms for radar imaging and
signal analysis. It teaches you more efficient ways to extract dispersive scattering features; …

The discrete fractional Fourier transform

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 …

Closed-form discrete fractional and affine Fourier transforms

SC Pei, JJ Ding - IEEE transactions on signal processing, 2000 - ieeexplore.ieee.org
The discrete fractional Fourier transform (DFRFT) is the generalization of discrete Fourier
transform. Many types of DFRFT have been derived and are useful for signal processing …

Optimal filtering in fractional Fourier domains

A Kutay, HM Ozaktas, O Ankan… - IEEE Transactions on …, 1997 - ieeexplore.ieee.org
For time-invariant degradation models and stationary signals and noise, the classical
Fourier domain Wiener filter, which can be implemented in O (N log N) time, gives the …

Discrete fractional Fourier transform based on orthogonal projections

SC Pei, MH Yeh, CC Tseng - IEEE Transactions on Signal …, 1999 - ieeexplore.ieee.org
The continuous fractional Fourier transform (FRFT) performs a spectrum rotation of signal in
the time-frequency plane, and it becomes an important tool for time-varying signal analysis …

Relations between fractional operations and time-frequency distributions, and their applications

SC Pei, JJ Ding - IEEE Transactions on Signal Processing, 2001 - ieeexplore.ieee.org
The fractional Fourier transform (FRFT) is a useful tool for signal processing. It is the
generalization of the Fourier transform. Many fractional operations, such as fractional …

A convolution and product theorem for the fractional Fourier transform

AI Zayed - IEEE Signal processing letters, 1998 - ieeexplore.ieee.org
The fractional Fourier transform (FRFT), which is a generalization of the Fourier transform,
has many applications in several areas, including signal processing and optics. Almeida …

Fractional hilbert transform

AW Lohmann, D Mendlovic, Z Zalevsky - Optics letters, 1996 - opg.optica.org
We have generalized the Hilbert transform by defining the fractional Hilbert transform (FHT)
operation. In the first stage, two different approaches for defining the FHT are suggested …

Research progress on discretization of fractional Fourier transform

R Tao, F Zhang, Y Wang - Science in China Series F: Information …, 2008 - Springer
As the fractional Fourier transform has attracted a considerable amount of attention in the
area of optics and signal processing, the discretization of the fractional Fourier transform …