Fractional hilbert transform

AW Lohmann, D Mendlovic, Z Zalevsky - Optics letters, 1996 - opg.optica.org
Hilbert transform by defining the fractional Hilbert transform (… fractional Fourier plane for
filtering. In the second stage, the two definitions are combined into a fractional Hilbert transform, …

Discrete fractional Hilbert transform

SC Pei, MH Yeh - IEEE Transactions on Circuits and Systems II …, 2000 - ieeexplore.ieee.org
… A generalization of the Hilbert transform, the fractional Hilbert transform, was recently proposed…
fractional Hilbert transform, and apply the proposed discrete fractional Hilbert transform to …

Analysis of the fractional Hilbert transform

JA Davis, DE McNamara, DM Cottrell - Applied Optics, 1998 - opg.optica.org
… The Hilbert transform is of interest for image-processing … Recently a fractional Hilbert transform
was introduced that can select … We analyze a one-dimensional fractional Hilbert transform

Design and application of discrete-time fractional Hilbert transformer

CC Tseng, SC Pei - IEEE Transactions on Circuits and Systems …, 2000 - ieeexplore.ieee.org
… signal’s fractional Fourier transform. So far, the research of fractional Hilbert transform is very
… In this paper, the design problems and applications of the fractional Hilbert transformer (FHT…

Generalization of the fractional Hilbert transform

R Tao, XM Li, Y Wang - IEEE Signal Processing Letters, 2008 - ieeexplore.ieee.org
… the fractional Hilbert transform to save the bandwidth of a real signal in the fractional Fourier
… and its generalized fractional Hilbert transform can be used to construct an analytic version …

Hilbert transform design based on fractional derivatives and swarm optimization

A Kumar, N Agrawal, I Sharma, S Lee… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
This paper presents a new efficient method for implementing the Hilbert transform using an
all-pass filter, based on fractional derivatives (FDs) and swarm optimization. In the proposed …

Fractional Hilbert transform extensions and associated analytic signal construction

A Venkitaraman, CS Seelamantula - Signal processing, 2014 - Elsevier
fractional Fourier transform (FrFT) route. We discuss some properties of the fractional Hilbert
… terms of the identity and the standard Hilbert operators enables the construction of a family …

All-fiber temporal photonic fractional Hilbert transformer based on a directly designed fiber Bragg grating

M Li, J Yao - Optics letters, 2010 - opg.optica.org
… The temporal Hilbert transform is an important tool for signal … The Hilbert transform (HT) is
usually implemented in the … A generalized HT is usually called fractional Hilbert transform (FHT…

Radio frequency implementation of the fractional Hilbert transform with transversal filters

L Moura - Circuits, Systems & Signal Processing, 2007 - Springer
fractional Hilbert transform using transversal filters. To demonstrate the design approach we
also present the circuit design of a fractional Hilbert transform … synthesis of fractional phase …

Optical implementation of the fractional Hilbert transform for two-dimensional objects

AW Lohmann, E Tepichin, JG Ramirez - Applied optics, 1997 - opg.optica.org
… The generalized version, called the fractional Hilbert transform, is quite easy to implement
… the fractional Hilbert transform for two-dimensional inputs. Hence the new transform is now …