• 2533 Citations
1971 …2016
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Research Output 1971 2016

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Article
2011
3 Citations (Scopus)

Comment on "The T-class of time-frequency distributions : time-only kernels with amplitude estimation"

Bastiaans, M. J., 2011, In : Journal of the Franklin Institute. 348, 9, p. 2670-2673 4 p.

Research output: Contribution to journalArticleAcademicpeer-review

kernel
Chirp
Slope
Instantaneous Frequency
Class
2010
7 Citations (Scopus)

Signal representation on the angular Poincaré sphere, based on second-order moments

Bastiaans, M. J. & Alieva, T., 2010, In : Journal of the Optical Society of America A, Optics, Image Science and Vision. 27, 4, p. 918-927 10 p.

Research output: Contribution to journalArticleAcademicpeer-review

Poincare spheres
Vorticity
Gyrators
moments
Optical systems
2009
5 Citations (Scopus)

Phase-space rotations and orbital Stokes parameters

Alieva, T. & Bastiaans, M. J., 2009, In : Optics Letters. 34, 4, p. 410-412 3 p.

Research output: Contribution to journalArticleAcademicpeer-review

orbitals
angular momentum
moments
propagation
polarization
2008
3 Citations (Scopus)

Dynamic and geometric phase accumulation by Gaussian-type modes in first-order optical systems

Alieva, T. & Bastiaans, M. J., 2008, In : Optics Letters. 33, 15, p. 1659-1661 3 p.

Research output: Contribution to journalArticleAcademicpeer-review

rays
formalism
2007
28 Citations (Scopus)

Classification of lossless first-order optical systems and the linear canonical transformation

Bastiaans, M. J. & Alieva, T., 2007, In : Journal of the Optical Society of America A, Optics, Image Science and Vision. 24, 4, p. 1053-1062 9 p.

Research output: Contribution to journalArticleAcademicpeer-review

Linear transformations
Optical systems
Eigenvalues and eigenfunctions
nuclei
Lenses
3 Citations (Scopus)

First-order optical systems with real eigenvalues

Bastiaans, M. J. & Alieva, T., 2007, In : Optics Communications. 272, 1, p. 52-55 4 p.

Research output: Contribution to journalArticleAcademicpeer-review

Eigenvalues and eigenfunctions
Optical systems
eigenvectors
eigenvalues
rays
23 Citations (Scopus)

Orthonormal mode sets for the two-dimensional fractional Fourier transformation

Alieva, T. & Bastiaans, M. J., 2007, In : Optics Letters. 32, 10, p. 1226-1228 3 p.

Research output: Contribution to journalArticleAcademicpeer-review

Fourier transformation
Poincare spheres
transformers
rays
eigenvectors
67 Citations (Scopus)

Properties of the linear canonical integral transformation

Alieva, T. & Bastiaans, M. J., 2007, In : Journal of the Optical Society of America A, Optics, Image Science and Vision. 24, 11, p. 3658-3665 8 p.

Research output: Contribution to journalArticleAcademicpeer-review

integral transformations
Optical systems
coherent light
derivation
theorems
2006
17 Citations (Scopus)

First-order optical systems with unimodular eigenvalues

Bastiaans, M. J. & Alieva, T., 2006, In : Journal of the Optical Society of America A, Optics, Image Science and Vision. 23, 8, p. 1875-1883 9 p.

Research output: Contribution to journalArticleAcademicpeer-review

Optical systems
eigenvalues
transformers
Eigenvalues and eigenfunctions
rays
16 Citations (Scopus)

Synthesis of an arbitrary ABCD-system with fixed lens positions

Bastiaans, M. J. & Alieva, T., 2006, In : Optics Letters. 31, 16, p. 2414-2416 3 p.

Research output: Contribution to journalArticleAcademicpeer-review

lenses
synthesis
magnification
cascades
decomposition
2005
37 Citations (Scopus)

Alternative representation of the linear canonical integral transform

Alieva, T. & Bastiaans, M. J., 2005, In : Optics Letters. 30, 24, p. 3302-3304 3 p.

Research output: Contribution to journalArticleAcademicpeer-review

integral transformations
decomposition
magnification
transformers
rays
2 Citations (Scopus)

Bi-orthonormal sets of Gaussian-type modes

Bastiaans, M. J. & Alieva, T., 2005, In : Journal of Physics A: Mathematical and General. 38, 46, p. 9931-9939 9 p.

Research output: Contribution to journalArticleAcademicpeer-review

Orthonormal
Hermite
Linear transformations
Generating Function
Polynomials
49 Citations (Scopus)

Fractional transforms in optical information processing

Alieva, T., Bastiaans, M. J. & Calvo, M. L., 2005, In : EURASIP Journal on Applied Signal Processing. 2005, 10, p. 1498-1519 22 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Optical data processing
Adaptive filters
Watermarking
Cryptography
Pattern recognition
10 Citations (Scopus)

Generating function for Hermite-Gaussian modes propagating through first-order optical systems

Bastiaans, M. J. & Alieva, T., 2005, In : Journal of Physics A: Mathematical and General. 38, 6, p. L73-L78 6 p.

Research output: Contribution to journalArticleAcademicpeer-review

First-order System
Hermite
Optical systems
Optical System
Generating Function
32 Citations (Scopus)

Loss of coherence in double-slit diffraction experiments

Sanz, A. S., Borondo, F. & Bastiaans, M. J., 2005, In : Physical Review A : Atomic, Molecular and Optical Physics. 71, 4, p. 042103-1/7 7 p., 042103

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
slits
incoherence
cold neutrons
coherent light
diffraction
24 Citations (Scopus)

Mode mapping in paraxial lossless optics

Alieva, T. & Bastiaans, M. J., 2005, In : Optics Letters. 30, 12, p. 1461-1463 3 p.

Research output: Contribution to journalArticleAcademicpeer-review

optics
retrieval
converters
envelopes
propagation
9 Citations (Scopus)

Propagation law for the generating function of Hermite-Gaussian-type modes in first-order optical systems

Bastiaans, M. J. & Alieva, T., 2005, In : Optics Express. 13, 4, p. 1107-1112 6 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
propagation
103 Citations (Scopus)

Signal denoising techniques for partial discharge measurements

Sriram, S., Nitin, S., Prabhu, K. M. M. & Bastiaans, M. J., 2005, In : IEEE Transactions on Dielectrics and Electrical Insulation. 12, 6, p. 1182-1191 10 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Signal denoising
Partial discharges
Thermal noise
Analog to digital conversion
Digital signal processing
8 Citations (Scopus)

Wigner distribution moments measured as intensity moments in separable first-order optical systems

Bastiaans, M. J. & Alieva, T., 2005, In : EURASIP Journal on Applied Signal Processing. 2005, 10, p. 1535-1540 6 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Optical systems
2004
14 Citations (Scopus)

Evolution of the vortex and the asymmetrical parts of orbital angular momentum in separable first-order optical systems

Alieva, T. & Bastiaans, M. J., 2004, In : Optics Letters. 29, 14, p. 1587-1589 3 p.

Research output: Contribution to journalArticleAcademicpeer-review

angular momentum
vortices
orbitals
rays
optical fibers
5 Citations (Scopus)

Mapping-based width measures and uncertainty relations for periodic functions

Alonso, M. A. & Bastiaans, M. J., 2004, In : Signal Processing. 84, 12, p. 2425-2435 11 p.

Research output: Contribution to journalArticleAcademicpeer-review

Uncertainty
2003
36 Citations (Scopus)

Fractional cosine and sine transforms

Alieva, T. & Bastiaans, M. J., 2003, In : Asian Journal of Physics. 12, 1, p. 25-32 8 p.

Research output: Contribution to journalArticleAcademicpeer-review

signal processing
optics
8 Citations (Scopus)

Moments of the Wigner distribution of rotationally symmetric partially coherent light

Bastiaans, M. J. & Alieva, T., 2003, In : Optics Letters. 28, 24, p. 2443-2445 3 p.

Research output: Contribution to journalArticleAcademicpeer-review

coherent light
moments
output
symmetry
38 Citations (Scopus)

Phase reconstruction from intensity measurements in linear systems

Bastiaans, M. J. & Wolf, K. B., 2003, In : Journal of the Optical Society of America A, Optics, Image Science and Vision. 20, 6, p. 1046-1049 4 p.

Research output: Contribution to journalArticleAcademicpeer-review

linear systems
Linear systems
Derivatives
Fourier transforms
Fibers
53 Citations (Scopus)

Signal reconstruction from two close fractional Fourier power spectra

Alieva, T., Bastiaans, M. J. & Stankovic, L., 2003, In : IEEE Transactions on Signal Processing. 51, 1, p. 112-123 12 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Signal reconstruction
Power spectrum
Derivatives
Signal analysis
Optics
73 Citations (Scopus)

Time-frequency signal analysis based on the windowed fractional Fourier transform

Stankovic, L., Alieva, T. & Bastiaans, M. J., 2003, In : Signal Processing. 83, 11, p. 2459-2468 10 p.

Research output: Contribution to journalArticleAcademicpeer-review

Signal analysis
Fourier transforms
Power spectrum
Costs
Computer simulation
2002
4 Citations (Scopus)

Finite-mode analysis by means of intensity information in fractional optical systems

Alieva, T. & Bastiaans, M. J., 2002, In : Journal of the Optical Society of America A, Optics, Image Science and Vision. 19, 3, p. 481-484 4 p.

Research output: Contribution to journalArticleAcademicpeer-review

Radon
radon
Eigenvalues and eigenfunctions
Optical systems
optical communication
37 Citations (Scopus)

On rotated time-frequency kernels

Bastiaans, M. J., Alieva, T. & Stankovic, L., 2002, In : IEEE Signal Processing Letters. 9, 11, p. 378-381 4 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Power spectrum
kernel
Fractional Powers
Term
Power Spectrum
4 Citations (Scopus)

Power filtering of n-th order in the fractional Fourier domain

Alieva, T., Calvo, M. L. & Bastiaans, M. J., 2002, In : Journal of Physics A: Mathematical and General. 35, 36, p. 7779-7785 7 p.

Research output: Contribution to journalArticleAcademicpeer-review

Fractional
Filtering
Phase Retrieval
retrieval
Configuration

Reassignment method in multidimensional space/spatial-frequency analysis

Djurovic, I., Stankovic, L. & Bastiaans, M. J., 2002, In : Glasnik : Journal of the Montenegrin Academy of Sciences and Arts. 14, p. 119-134 16 p.

Research output: Contribution to journalArticleAcademicpeer-review

Frequency Analysis
Spatial Analysis
Time-frequency Analysis
Numerical Examples
11 Citations (Scopus)

Wigner distribution moments in fractional Fourier transform systems

Bastiaans, M. J. & Alieva, T., 2002, In : Journal of the Optical Society of America A, Optics, Image Science and Vision. 19, 9, p. 1763-1773 11 p.

Research output: Contribution to journalArticleAcademicpeer-review

distribution moments
Fourier transforms
Power spectrum
Derivatives
moments
2000

Gabor's signal expansion and the Gabor transform on a non-separable time-frequency lattice

Leest, van, A. J. & Bastiaans, M. J., 2000, In : Journal of the Franklin Institute. 337, 4, p. 291-301 11 p.

Research output: Contribution to journalArticleAcademicpeer-review

Gabor Transform
Nonseparable
Sampling
Geometry
Zak Transform
56 Citations (Scopus)

On fractional Fourier transform moments

Alieva, T. & Bastiaans, M. J., 2000, In : IEEE Signal Processing Letters. 7, 11, p. 320-323 4 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Fractional Fourier Transform
Fractional Powers
Power spectrum
Power Spectrum
Fourier transforms
13 Citations (Scopus)

Phase-space distributions in quasi-polar coordinates and the fractional Fourier transform

Alieva, T. & Bastiaans, M. J., 2000, In : Journal of the Optical Society of America A, Optics, Image Science and Vision. 17, 12, p. 2324-2329 6 p.

Research output: Contribution to journalArticleAcademicpeer-review

polar coordinates
Fourier transforms
ambiguity
Power spectrum
Derivatives
5 Citations (Scopus)

Self-affinity in phase space

Alieva, T. & Bastiaans, M. J., 2000, In : Journal of the Optical Society of America A, Optics, Image Science and Vision. 17, 4, p. 756-761 6 p.

Research output: Contribution to journalArticleAcademicpeer-review

Optical systems
affinity
Decomposition
Imaging techniques
polar coordinates
12 Citations (Scopus)

Wigner distribution and fractional Fourier transform for two-dimensional symmetric optical beams

Alieva, T. & Bastiaans, M. J., 2000, In : Journal of the Optical Society of America A, Optics, Image Science and Vision. 17, 12, p. 2319-2323 4 p.

Research output: Contribution to journalArticleAcademicpeer-review

Power spectrum
Fourier transforms
simplification
power spectra
24 Citations (Scopus)
Optical systems
Distribution functions
distribution functions
moments
propagation
1999
14 Citations (Scopus)

Mode analysis in optics through fractional transforms

Alieva, T. & Bastiaans, M. J., 1999, In : Optics Letters. 24, 17, p. 1206-1208 3 p.

Research output: Contribution to journalArticleAcademicpeer-review

optics
19 Citations (Scopus)

Powers of transfer matrices determined by means of eigenfunctions

Alieva, T. & Bastiaans, M. J., 1999, In : Journal of the Optical Society of America A, Optics and Image Science. 16, 10, p. 2413-2418 6 p.

Research output: Contribution to journalArticleAcademicpeer-review

Optical Devices
Eigenvalues and eigenfunctions
Optical systems
Cryptography
1998
25 Citations (Scopus)

From the rectangular to the quincunx Gabor lattice via fractional Fourier transformation

Bastiaans, M. J. & Leest, van, A. J., 1998, In : IEEE Signal Processing Letters. 5, 8, p. 203-205 3 p.

Research output: Contribution to journalArticleAcademicpeer-review

Fourier Transformation
Fractional
Eigenvalues and eigenfunctions
Gaussian Function
Eigenfunctions
1996
32 Citations (Scopus)

On the discrete Gabor transform and the discrete Zak transform

Bastiaans, M. J. & Geilen, M. C. W., 1996, In : Signal Processing. 49, 3, p. 151-166 16 p.

Research output: Contribution to journalArticleAcademicpeer-review

Discrete Fourier transforms
1 Citation (Scopus)

Quantization of computer-generated Fourier holograms using error diffusion : design of least-square optimal error-feedback filters

Bulck, van den, P. M. T., Bastiaans, M. J. & Butterweck, H. J., 1996, In : Optik : International Journal for Light and Electron Optics. 103, 1, p. 1-11 11 p.

Research output: Contribution to journalArticleAcademicpeer-review

Holograms
Feedback
filters
diffusion coefficient
transmittance
26 Citations (Scopus)

Wigner distribution function of a circular aperture

Bastiaans, M. J. & van de Mortel, P. G. J., 1996, In : Journal of the Optical Society of America A, Optics, Image Science and Vision. 13, 8, p. 1698-1703 6 p.

Research output: Contribution to journalArticleAcademicpeer-review

Distribution functions
apertures
distribution functions
1994

Coherent-optical generation of Gabor's expansion coefficients via the Zak transform

Bastiaans, M. J., 1994, In : Optical Review. 1, 2, p. 156-158 3 p.

Research output: Contribution to journalArticleAcademicpeer-review

expansion
coefficients
18 Citations (Scopus)

Gabor's signal expansion and the Zak transform

Bastiaans, M. J., 1994, In : Applied Optics. 33, 23, p. 5241-5255 15 p.

Research output: Contribution to journalArticleAcademicpeer-review

expansion
sliding
coefficients
sampling
1992
21 Citations (Scopus)

ABCD law for partially coherent Gaussian light, propagating through first-order optical systems

Bastiaans, M. J., 1992, In : Optical and Quantum Electronics. 24, 9, p. 1011-1019 9 p.

Research output: Contribution to journalArticleAcademicpeer-review

Optical systems
matrices
Distribution functions
distribution functions
exponents
1991
4 Citations (Scopus)

Gabor's signal expansion applied to partially coherent light

Bastiaans, M. J., 1991, In : Optics Communications. 86, 1, p. 14-18 5 p.

Research output: Contribution to journalArticleAcademicpeer-review

coherent light
expansion
rays
coefficients
linear systems
Transparency
Modulation
modulation
pulses
synthesis

Second-order moments of the Wigner distribution function in first-order optical systems

Bastiaans, M. J., 1991, In : Optik : International Journal for Light and Electron Optics. 88, 4, p. 163-168 6 p.

Research output: Contribution to journalArticleAcademicpeer-review

Optical systems
Distribution functions
distribution functions
moments
eigenvalues
1989
Optical systems
Distribution functions
distribution functions
moments
Gaussian beams