Tatiana Alieva

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All published works

Action	Title	Year	Authors
+	Wigner distribution and fractional Fourier transform	2016	Tatiana Alieva MJ Martin Bastiaans
+	The Linear Canonical Transformation: Definition and Properties	2015	Martin J. Bastiaans Tatiana Alieva
+	Beam mapping on the orbital Poincaré sphere	2011	Tatiana Alieva Alejandro Cámara Martin J. Bastiaans
+	Applications of the programmable two-dimensional optical fractional Fourier processor	2009	José A. Rodrigo Tatiana Alieva Gabriel Cristóbal M. L. Calvo
+ PDF Chat	Orthonormal mode sets for the two-dimensional fractional Fourier transformation	2007	Tatiana Alieva Martin J. Bastiaans
+ PDF Chat	Classification of lossless first-order optical systems and the linear canonical transformation	2007	Martin J. Bastiaans Tatiana Alieva
+	Classification of the linear canonical transformation and its associated real symplectic matrix	2007	Martin J. Bastiaans Tatiana Alieva
+ PDF Chat	First-order optical systems with unimodular eigenvalues	2006	Martin J. Bastiaans Tatiana Alieva
+	ABCD-systems with unimodular eigenvalues	2006	MJ Martin Bastiaans Tatiana Alieva
+ PDF Chat	Flexible optical system for separable fractional Fourier transform	2006	José A. Rodrigo Tatiana Alieva M. L. Calvo
+	Synthesis of arbitrary ABCD-systems based on the Iwasawa decomposition	2006	MJ Martin Bastiaans Tatiana Alieva
+ PDF Chat	Alternative representation of the linear canonical integral transform	2005	Tatiana Alieva Martin J. Bastiaans
+ PDF Chat	Fractional Transforms in Optical Information Processing	2005	Tatiana Alieva Martin J. Bastiaans M. L. Calvo
+	ABCD-systems with singular sub-matrix B	2005	Tatiana Alieva MJ Martin Bastiaans
+	Fractionalization of cyclic transformations in optics	2005	Tatiana Alieva MJ Martin Bastiaans ML Calvo
+	<title>New focus on Fourier optics techniques</title>	2004	M. L. Calvo Tatiana Alieva Martin J. Bastiaans J. A. Rodrigo Martin-Romoy D. Rodriguez Merlo
+ PDF Chat	Moments of the Wigner distribution of rotationally symmetric partially coherent light	2003	Martin J. Bastiaans Tatiana Alieva
+	Wigner distribution moments measured as fractional Fourier transform intensity moments	2003	Martin Bastiaans Tatiana Alieva
+	Power filtering of n -th in the fractional Fourier domain related to signal differentiation and phase retrieval	2003	Tatiana Alieva M. L. Calvo Martin Bastiaans
+	Time–frequency signal analysis based on the windowed fractional Fourier transform	2003	Ljubiša Stanković Tatiana Alieva Martin J. Bastiaans
+ PDF Chat	Image reconstruction from amplitude-only and phase-only data in the fractional Fourier domain	2003	Tatiana Alieva M. L. Calvo
+ PDF Chat	Importance of the phase and amplitude in the fractional Fourier domain	2003	Tatiana Alieva M. L. Calvo
+	Fractional cosine and sine transforms	2003	Tatiana Alieva MJ Martin Bastiaans
+	Fractional cosine and sine transforms in relation to the fractional Fourier and Hartley transforms	2003	Tatiana Alieva M.J. Bastiaans
+	Wigner distribution and fractional Fourier transform	2003	Tatiana Alieva MJ Martin Bastiaans
+	Wigner distribution reconstruction from two projections	2002	Tatiana Alieva M.J. Bastiaans Ljubiša Stanković
+	Wigner distribution and fractional Fourier transform	2002	Tatiana Alieva M.J. Bastiaans
+	Fractional-Fourier-domain weighted Wigner distribution	2002	Ljubiša Stanković Tatiana Alieva M.J. Bastiaans
+	On rotated time-frequency kernels	2002	M.J. Bastiaans Tatiana Alieva Ljubiša Stanković
+	Rotation-type input-output-relationships for Wigner distribution moments in fractional Fourier transform systems	2002	Martin J. Bastiaans Tatiana Alieva
+	Wigner distribution moments in fractional Fourier transform systems	2002	Martin J. Bastiaans Tatiana Alieva
+ PDF Chat	Power filtering of<i>n</i>th order in the fractional Fourier domain	2002	Tatiana Alieva M. L. Calvo Martin J. Bastiaans
+	Finite-mode analysis by means of intensity information in fractional optical systems	2002	Tatiana Alieva Martin J. Bastiaans
+	Wigner distribution moments measured as intensity moments in the fractional Fourier transform domain	2002	MJ Martin Bastiaans Tatiana Alieva
+	On the measurement of Wigner distribution moments in the fractional Fourier transform domain	2002	MJ Martin Bastiaans Tatiana Alieva
+	Fractional cyclic transforms in optics: theory and applications	2001	Tatiana Alieva MJ Martin Bastiaans ML Calvo
+	Wigner distribution weighted in the fractional Fourier domain	2001	Ljubiša Stanković Tatiana Alieva MJ Martin Bastiaans
+	Phase-space distributions in quasi-polar coordinates and the fractional Fourier transform	2000	Tatiana Alieva Martin J. Bastiaans
+	Wigner distribution and fractional Fourier transform for two-dimensional symmetric optical beams	2000	Tatiana Alieva Martin J. Bastiaans
+ PDF Chat	Fractionalization of the linear cyclic transforms	2000	Tatiana Alieva M. L. Calvo
+ PDF Chat	On fractional Fourier transform moments	2000	Tatiana Alieva M.J. Bastiaans
+	Finite mode analysis through harmonic waveguides	2000	Tatiana Alieva Kurt Bernardo Wolf
+	On the moments of the Wigner distribution and the fractional Fourier transform	2000	Tatiana Alieva MJ Martin Bastiaans
+	Macroscopic 1/f behavior of fractal signals generated by additive substitution	2000	Tatiana Alieva Anna Greta Barbe
+	Powers of transfer matrices determined by means of eigenfunctions	1999	Tatiana Alieva Martin J. Bastiaans
+ PDF Chat	Mode analysis in optics through fractional transforms	1999	Tatiana Alieva Martin J. Bastiaans
+	<title>Radon-Wigner transform for optical field analysis</title>	1999	Tatiana Alieva Martin J. Bastiaans
+	Self-fractional fourier images	1999	Tatiana Alieva André Barbé
+	Properties of eigenfunctions of the canonical integral transform	1999	Tatiana Alieva MJ Martin Bastiaans
+	About quantum state characterization	1998	Tatiana Alieva André Barbé
+	Fractional Fourier and Radon–Wigner transforms of periodic signals	1998	Tatiana Alieva André Barbé
+	Self-imaging in fractional Fourier transform systems	1998	Tatiana Alieva Anna Greta Barbe
+	Optical self-fractional Fourier signals	1998	Tatiana Alieva Igor Aizenberg Anna Greta Barbe
+	Diffraction analysis of random fractal fields	1998	Tatiana Alieva F. Agulló‐López
+	Discrete Fourier transform of multiplicative sequences	1998	Tatiana Alieva J.P. Veen
+	Self-fractional Fourier functions and selection of modes	1997	Tatiana Alieva André Barbé
+	Fractional Fourier analysis of objects with scaling symmetry	1997	Tatiana Alieva AndréM. Barbé
+	Imaging in first-order optical systems	1996	Tatiana Alieva F. Agulló‐López
+	On the self-fractional Fourier functions	1996	Tatiana Alieva
+	Fractional Fourier transform as a tool for investigation of fractal objects	1996	Tatiana Alieva
+	Optical wave propagation of fractal fields	1996	Tatiana Alieva F. Agulló‐López
+	Reply to the Comment on the Fractional Fourier Transform in Optical Propagation Problems	1995	Tatiana Alieva Vicente López F. Agulló‐López Luı́s B. Almeida
+	The Fractional Fourier Transform in Optical Propagation Problems	1994	Tatiana Alieva Vicente López F. Agulló‐López Luı́s B. Almeida

Common Coauthors

Coauthor	Papers Together
Martin Bastiaans	22
MJ Martin Bastiaans	13
M. L. Calvo	9
M.J. Bastiaans	6
Ljubiša Stanković	5
F. Agulló‐López	5
André Barbé	4
Anna Greta Barbe	3
ML Calvo	2
José A. Rodrigo	2
Vicente López	2
Luı́s B. Almeida	2
Kurt Bernardo Wolf	1
André M. Barbé	1
Alejandro Cámara	1
J.P. Veen	1
Igor Aizenberg	1
D. Rodriguez Merlo	1
J. A. Rodrigo Martin-Romoy	1
Gabriel Cristóbal	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The fractional Fourier transform and time-frequency representations	1994	Luı́s B. Almeida	28
+	The Fractional Order Fourier Transform and its Application to Quantum Mechanics	1980	Victor Namias	22
+	Image rotation, Wigner rotation, and the fractional Fourier transform	1993	Adolf W. Lohmann	20
+ PDF Chat	Fractional Fourier transforms and their optical implementation: I	1993	David Mendlovic Haldun M. Özaktaş	20
+	The Fractional Fourier Transform: with Applications in Optics and Signal Processing	2001	Haldun M. Özaktaş M. Alper Kutay Zeev Zalevsky	19
+	The Fractional Fourier Transform in Optical Propagation Problems	1994	Tatiana Alieva Vicente López F. Agulló‐López Luı́s B. Almeida	14
+ PDF Chat	Introduction to the Fractional Fourier Transform and Its Applications	1999	Haldun M. Özaktaş M. Alper Kutay David Mendlovic	14
+	Relationships between the Radon–Wigner and fractional Fourier transforms	1994	Adolf W. Lohmann B. H. Soffer	13
+	On Namias's Fractional Fourier Transforms	1987	Adam C. McBride Fiona H. Kerr	10
+	Tomographic time-frequency analysis and its application toward time-varying filtering and adaptive kernel design for multicomponent linear-FM signals	1994	J.C. Wood D. T. Barry	9
+ PDF Chat	On fractional Fourier transform moments	2000	Tatiana Alieva M.J. Bastiaans	9
+	Self-fractional Fourier functions and selection of modes	1997	Tatiana Alieva André Barbé	8
+	Optical wave propagation of fractal fields	1996	Tatiana Alieva F. Agulló‐López	8
+ PDF Chat	The fractional fourier transform	2001	Haldun M. Özaktaş M. Alper Kutay	8
+	Geometric Optics on Phase Space	2004	Kurt Bernardo Wolf	8
+ PDF Chat	Self Fourier functions and fractional Fourier transforms	1994	David Mendlovic Haldun M. Özaktaş Adolf W. Lohmann	8
+	On the self-fractional Fourier functions	1996	Tatiana Alieva	7
+ PDF Chat	Fractionalization of the linear cyclic transforms	2000	Tatiana Alieva M. L. Calvo	7
+	Deriving the integral representation of a fractional Hankel transform from a fractional Fourier transform	1998	Li Yu Yingyang Lu Xiaoming Zeng Meichun Huang Mouzhi Chen Wenda Huang Zi‐Zhong Zhu	6
+ PDF Chat	Fractional Fourier transforms and their optical implementation II	1993	Haldun M. Özaktaş David Mendlovic	6
+	Fractional Fourier transform as a tool for investigation of fractal objects	1996	Tatiana Alieva	6
+	The Transforms and Applications Handbook, Second Edition	2000	Alexander D. Poularikas	6
+ PDF Chat	Graded-index fibers, Wigner-distribution functions, and the fractional Fourier transform	1994	David Mendlovic Haldun M. Özaktaş Adolf W. Lohmann	6
+	Fractional order Fourier transform and Fourier optics	1994	Pierre Pellat-Finet Georges Bonnet	6
+ PDF Chat	Eigenvectors and functions of the discrete Fourier transform	1982	B. Dickinson K. Steiglitz	5
+	The Laguerre-Gaussian series representation of two-dimensional fractional Fourier transform	1998	Li Yu Wenda Huang Meichun Huang Zi‐Zhong Zhu Xiaoming Zeng Wei Ji	5
+	Fractional Fourier analysis of objects with scaling symmetry	1997	Tatiana Alieva AndréM. Barbé	5
+	The generalized Fresnel transform and its application to optics	1996	Daniel F. V. James G. S. Agarwal	5
+	Fractional Hilbert transform	1996	Adolf W. Lohmann David Mendlovic Zeev Zalevsky	5
+ PDF Chat	Alternative representation of the linear canonical integral transform	2005	Tatiana Alieva Martin J. Bastiaans	5
+	First-order optics—a canonical operator representation: lossless systems	1982	Moshe Nazarathy Joseph Shamir	5
+ PDF Chat	Fractional correlation	1995	David Mendlovic Haldun M. Özaktaş Adolf W. Lohmann	4
+	Fractionalization of Fourier transform	1995	Chun-Ching Shih	4
+	Relationship between the ambiguity function coordinate transformations and the fractional Fourier transform	1998	Igor Djurović Ljubiša Stanković	4
+ PDF Chat	A high resolution time frequency representation with significantly reduced cross-terms	2002	Ahmet Kemal Özdemir Orhan Arıkan	4
+	Expression of the kernel of a fractional Fourier transform in elementary functions	1994	Y. B. Karasik	4
+ PDF Chat	First-order optical systems with unimodular eigenvalues	2006	Martin J. Bastiaans Tatiana Alieva	4
+	Fractional cyclic transforms in optics: theory and applications	2001	Tatiana Alieva MJ Martin Bastiaans ML Calvo	4
+	Eigenfunctions of linear canonical transform	2002	Soo‐Chang Pei Jian–Jiun Ding	4
+	Analytic relation for recovering the mutual intensity by means of intensity information	1998	Jinhong Tu Shinichi Tamura	4
+ PDF Chat	Fractional Transforms in Optical Information Processing	2005	Tatiana Alieva Martin J. Bastiaans M. L. Calvo	4
+	Imaging in first-order optical systems	1996	Tatiana Alieva F. Agulló‐López	4
+	Some important fractional transformations for signal processing	1996	Adolf W. Lohmann David Mendlovic Zeev Zalevsky Rainer Dorsch	4
+ PDF Chat	Mode analysis in optics through fractional transforms	1999	Tatiana Alieva Martin J. Bastiaans	4
+	Fractional convolution and correlation via operator methods and an application to detection of linear FM signals	2001	Olcay Akay G.F. Boudreaux-Bartels	4
+	Digital computation of the fractional Fourier transform	1996	Haldun M. Özaktaş Orhan Arıkan M. Alper Kutay G. Bozdagt	4
+	Space-variant simultaneous detection of several objects by the use of multiple anamorphic fractional-Fourier-transform filters	1996	Javier Garcı́a David Mendlovic Zeev Zalevsky Adolf W. Lohmann	4
+	Root and power transformations in optics	1995	Joseph Shamir Nir Cohen	4
+	Optical implementation of the fractional Hilbert transform for two-dimensional objects	1997	Adolf W. Lohmann Eduardo Tepichín José G. Ramírez	4
+	Convolution, filtering, and multiplexing in fractional Fourier domains and their relation to chirp and wavelet transforms	1994	Haldun M. Özaktaş David Mendlovic Levent Onural Billur Barshan	4