Class information for:
Level 1: FRACTIONAL FOURIER TRANSFORM//LINEAR CANONICAL TRANSFORM//FRACTIONAL FOURIER TRANSFORMS

Basic class information

ID Publications Average number
of references
Avg. shr. active
ref. in WoS
10555 988 21.1 65%



Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 2)



ID, lev.
above
Publications Label for level above
522 14316 FRACTIONAL FOURIER TRANSFORM//DIGITAL HOLOGRAPHY//INTERUNIV OPT

Terms with highest relevance score



Rank Term Type of term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 FRACTIONAL FOURIER TRANSFORM Author keyword 98 36% 22% 221
2 LINEAR CANONICAL TRANSFORM Author keyword 91 74% 7% 67
3 FRACTIONAL FOURIER TRANSFORMS Author keyword 34 79% 2% 22
4 LINEAR CANONICAL TRANSFORM LCT Author keyword 30 100% 1% 12
5 DISCRETE FRACTIONAL FOURIER TRANSFORM Author keyword 17 50% 3% 25
6 FRACTIONAL FOURIER TRANSFORM FRFT Author keyword 11 35% 3% 26
7 COMMUTING MATRIX Author keyword 8 75% 1% 6
8 DISCRETE FRACTIONAL FOURIER TRANSFORM DFRFT Author keyword 7 53% 1% 9
9 FRACTIONAL FOURIER SERIES Author keyword 6 80% 0% 4
10 FRACTIONAL ORDER FOURIER TRANSFORM Author keyword 6 100% 0% 4

Web of Science journal categories

Author Key Words



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
LCSH search Wikipedia search
1 FRACTIONAL FOURIER TRANSFORM 98 36% 22% 221 Search FRACTIONAL+FOURIER+TRANSFORM Search FRACTIONAL+FOURIER+TRANSFORM
2 LINEAR CANONICAL TRANSFORM 91 74% 7% 67 Search LINEAR+CANONICAL+TRANSFORM Search LINEAR+CANONICAL+TRANSFORM
3 FRACTIONAL FOURIER TRANSFORMS 34 79% 2% 22 Search FRACTIONAL+FOURIER+TRANSFORMS Search FRACTIONAL+FOURIER+TRANSFORMS
4 LINEAR CANONICAL TRANSFORM LCT 30 100% 1% 12 Search LINEAR+CANONICAL+TRANSFORM+LCT Search LINEAR+CANONICAL+TRANSFORM+LCT
5 DISCRETE FRACTIONAL FOURIER TRANSFORM 17 50% 3% 25 Search DISCRETE+FRACTIONAL+FOURIER+TRANSFORM Search DISCRETE+FRACTIONAL+FOURIER+TRANSFORM
6 FRACTIONAL FOURIER TRANSFORM FRFT 11 35% 3% 26 Search FRACTIONAL+FOURIER+TRANSFORM+FRFT Search FRACTIONAL+FOURIER+TRANSFORM+FRFT
7 COMMUTING MATRIX 8 75% 1% 6 Search COMMUTING+MATRIX Search COMMUTING+MATRIX
8 DISCRETE FRACTIONAL FOURIER TRANSFORM DFRFT 7 53% 1% 9 Search DISCRETE+FRACTIONAL+FOURIER+TRANSFORM+DFRFT Search DISCRETE+FRACTIONAL+FOURIER+TRANSFORM+DFRFT
9 FRACTIONAL FOURIER SERIES 6 80% 0% 4 Search FRACTIONAL+FOURIER+SERIES Search FRACTIONAL+FOURIER+SERIES
10 FRACTIONAL ORDER FOURIER TRANSFORM 6 100% 0% 4 Search FRACTIONAL+ORDER+FOURIER+TRANSFORM Search FRACTIONAL+ORDER+FOURIER+TRANSFORM

Key Words Plus



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 OPTICAL IMPLEMENTATION 76 46% 13% 124
2 FRACTIONAL FOURIER TRANSFORM 36 23% 14% 134
3 LINEAR CANONICAL TRANSFORM 23 74% 2% 17
4 REAL SIGNALS 22 81% 1% 13
5 RADON WIGNER 21 78% 1% 14
6 DIGITAL COMPUTATION 19 80% 1% 12
7 BAND LIMITED SIGNALS 19 30% 5% 54
8 FRACTIONAL FOURIER TRANSFORMS 12 37% 3% 27
9 GENERALIZED SAMPLES 12 86% 1% 6
10 FRACTIONAL FOURIER 11 37% 2% 24

Journals

Reviews



Title Publ. year Cit. Active references % act. ref.
to same field
Research progress of the fractional Fourier transform in signal processing 2006 60 41 88%
The fractional Fourier transform and some of its applications to optics 2002 15 96 88%
Fractional transformations in optics 1998 54 66 50%
Advances in Shannon Sampling Theory 2013 0 16 94%
Linear Canonical Transform 2014 0 72 83%
Fractional transforms in optical information processing 2005 8 127 69%
Fractional Fourier Transforms and Geometrical Optics 2010 0 50 72%
Light propagation analysis in graded index fiber - Review and applications 1997 2 8 100%

Address terms



Rank Address term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 ELECT COMMUN ENGN SECT 3 100% 0.3% 3
2 AUTOMATIZAT 3 28% 0.9% 9
3 ELEKTROTECH 3 12% 2.2% 22
4 GRP OPT THEOR PL 2 67% 0.2% 2
5 GRP OPT TRATAMIENTO SENALES 2 28% 0.5% 5
6 UCD COMMUN OPTOELECT 1 31% 0.4% 4
7 FUNDAMENTAL SCI MULTIPLE INFORMAT SYST 1 50% 0.2% 2
8 POLYTECH PERNAMBUCO 1 20% 0.5% 5
9 CHAIR OPTOELECT 1 30% 0.3% 3
10 LEHRSTUHL OPTOELEKT 1 25% 0.3% 3

Related classes at same level (level 1)



Rank Relatedness score Related classes
1 0.0000207246 OPTICAL ENCRYPTION//OPTICAL IMAGE ENCRYPTION//GYRATOR TRANSFORM
2 0.0000144431 POLYNOMIAL PHASE SIGNALS//WIGNER DISTRIBUTION//TIME FREQUENCY ANALYSIS
3 0.0000143808 WAVELENGTH DEPENDENT EFFECTS//MATHEMATICAL METHODS OF OPTICS//MAXWELL OPTICS
4 0.0000118506 CLIFFORD FOURIER TRANSFORM//QUATERNIONIC FOURIER TRANSFORM//QUATERNION FOURIER TRANSFORM
5 0.0000106911 MED OPT PHOTON//OPTICAL PROJECTION SYSTEM//SENSORIZED PLATFORM
6 0.0000093722 REVERSE JACKET MATRIX//JACKET MATRIX//COMMUNICATION THEORY AND SIGNALS
7 0.0000091546 VECTORIAL STRUCTURE//LASER PHYS CHEM//TURBULENT ATMOSPHERE
8 0.0000081128 MUTUALLY UNBIASED BASES//COMPLEX HADAMARD MATRICES//SIC POVM
9 0.0000079708 IWOP TECHNIQUE//ENTANGLED STATE REPRESENTATION//QUANTUM COMMUN CALCULAT
10 0.0000069708 AVERAGE SAMPLING//SAMPLING SERIES//CHROMATIC DERIVATIVES