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

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
9358 1163 21.4 63%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
9 4 COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE//COMPUTER SCIENCE, INFORMATION SYSTEMS 1247339
601 3       FRACTIONAL FOURIER TRANSFORM//MECHANICAL SYSTEMS AND SIGNAL PROCESSING//MICROELECTRONICS AND RELIABILITY 14504
1793 2             FRACTIONAL FOURIER TRANSFORM//MECHANICAL SYSTEMS AND SIGNAL PROCESSING//FAULT DIAGNOSIS 6319
9358 1                   FRACTIONAL FOURIER TRANSFORM//LINEAR CANONICAL TRANSFORM//DISCRETE FRACTIONAL FOURIER TRANSFORM 1163

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 FRACTIONAL FOURIER TRANSFORM authKW 4033255 23% 57% 269
2 LINEAR CANONICAL TRANSFORM authKW 2002933 7% 94% 81
3 DISCRETE FRACTIONAL FOURIER TRANSFORM authKW 598092 2% 84% 27
4 FRACTIONAL FOURIER TRANSFORM FRFT authKW 356093 2% 47% 29
5 CLIFFORD FOURIER TRANSFORM authKW 321609 1% 88% 14
6 LINEAR CANONICAL TRANSFORM LCT authKW 315049 1% 100% 12
7 QUATERNION FOURIER TRANSFORM authKW 233515 1% 68% 13
8 FRFT authKW 227186 1% 58% 15
9 DISCRETE FRACTIONAL FOURIER TRANSFORM DFRFT authKW 212656 1% 90% 9
10 FRACTIONAL CORRELATION authKW 187523 1% 71% 10

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Optics 10691 40% 0% 466
2 Engineering, Electrical & Electronic 3728 34% 0% 397
3 Mathematics, Applied 880 12% 0% 140
4 Imaging Science & Photographic Technology 411 3% 0% 33
5 Telecommunications 175 4% 0% 45
6 Physics, Mathematical 142 4% 0% 44
7 Mathematics 128 6% 0% 71
8 Computer Science, Information Systems 79 3% 0% 32
9 Mathematics, Interdisciplinary Applications 35 2% 0% 20
10 Computer Science, Artificial Intelligence 20 2% 0% 20

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 ELECT COMMUN ENGN SECT 131270 0% 100% 5
2 ELEKTROTECH 68375 2% 11% 23
3 BEIJING FRACT SIGNALS SYST 52508 0% 100% 2
4 LEHRSTUHL MODELLIERUNG SIMULAT 52508 0% 100% 2
5 AUTOMATIZAT 44289 1% 19% 9
6 GRP OPT THEOR PL 35004 0% 67% 2
7 GRP OPT TRATAMIENTO SENALES 34537 0% 26% 5
8 UCD COMMUN OPTOELECT 32307 0% 31% 4
9 BEIJING MATH CHARACTERIZAT ANAL PLICA 26254 0% 100% 1
10 CEMOS 26254 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION 24606 8% 1% 96
2 ADVANCES IN APPLIED CLIFFORD ALGEBRAS 24152 2% 4% 23
3 SIGNAL PROCESSING 21621 6% 1% 73
4 IEEE TRANSACTIONS ON SIGNAL PROCESSING 20984 8% 1% 89
5 SIGNAL IMAGE AND VIDEO PROCESSING 16499 2% 3% 24
6 IET SIGNAL PROCESSING 10097 1% 2% 17
7 OPTICS COMMUNICATIONS 9614 8% 0% 98
8 OPTIK 7439 5% 1% 55
9 IEEE SIGNAL PROCESSING LETTERS 6245 3% 1% 32
10 JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS 4225 0% 3% 5

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 FRACTIONAL FOURIER TRANSFORM 4033255 23% 57% 269 Search FRACTIONAL+FOURIER+TRANSFORM Search FRACTIONAL+FOURIER+TRANSFORM
2 LINEAR CANONICAL TRANSFORM 2002933 7% 94% 81 Search LINEAR+CANONICAL+TRANSFORM Search LINEAR+CANONICAL+TRANSFORM
3 DISCRETE FRACTIONAL FOURIER TRANSFORM 598092 2% 84% 27 Search DISCRETE+FRACTIONAL+FOURIER+TRANSFORM Search DISCRETE+FRACTIONAL+FOURIER+TRANSFORM
4 FRACTIONAL FOURIER TRANSFORM FRFT 356093 2% 47% 29 Search FRACTIONAL+FOURIER+TRANSFORM+FRFT Search FRACTIONAL+FOURIER+TRANSFORM+FRFT
5 CLIFFORD FOURIER TRANSFORM 321609 1% 88% 14 Search CLIFFORD+FOURIER+TRANSFORM Search CLIFFORD+FOURIER+TRANSFORM
6 LINEAR CANONICAL TRANSFORM LCT 315049 1% 100% 12 Search LINEAR+CANONICAL+TRANSFORM+LCT Search LINEAR+CANONICAL+TRANSFORM+LCT
7 QUATERNION FOURIER TRANSFORM 233515 1% 68% 13 Search QUATERNION+FOURIER+TRANSFORM Search QUATERNION+FOURIER+TRANSFORM
8 FRFT 227186 1% 58% 15 Search FRFT Search FRFT
9 DISCRETE FRACTIONAL FOURIER TRANSFORM DFRFT 212656 1% 90% 9 Search DISCRETE+FRACTIONAL+FOURIER+TRANSFORM+DFRFT Search DISCRETE+FRACTIONAL+FOURIER+TRANSFORM+DFRFT
10 FRACTIONAL CORRELATION 187523 1% 71% 10 Search FRACTIONAL+CORRELATION Search FRACTIONAL+CORRELATION

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 ALIEVA, T , BASTIAANS, MJ , CALVO, ML , (2005) FRACTIONAL TRANSFORMS IN OPTICAL INFORMATION PROCESSING.EURASIP JOURNAL ON APPLIED SIGNAL PROCESSING. VOL. 2005. ISSUE 10. P. 1498-1519 93 73% 11
2 DING, JJ , PEI, SC , (2014) LINEAR CANONICAL TRANSFORM.ADVANCES IN IMAGING AND ELECTRON PHYSICS, VOL 186. VOL. 186. ISSUE . P. 39 -99 63 83% 0
3 TORRE, A , (2002) THE FRACTIONAL FOURIER TRANSFORM AND SOME OF ITS APPLICATIONS TO OPTICS.PROGRESS IN OPTICS, VOLUME 43. VOL. 43. ISSUE . P. 531-596 80 83% 15
4 TAO, R , ZHANG, F , WANG, Y , (2008) RESEARCH PROGRESS ON DISCRETIZATION OF FRACTIONAL FOURIER TRANSFORM.SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES. VOL. 51. ISSUE 7. P. 859 -880 58 95% 15
5 SEJDIC, E , DJUROVIC, I , STANKOVIC, L , (2011) FRACTIONAL FOURIER TRANSFORM AS A SIGNAL PROCESSING TOOL: AN OVERVIEW OF RECENT DEVELOPMENTS.SIGNAL PROCESSING. VOL. 91. ISSUE 6. P. 1351 -1369 63 65% 76
6 GOEL, N , SINGH, K , SAXENA, R , SINGH, AK , (2016) MULTIPLICATIVE FILTERING IN THE LINEAR CANONICAL TRANSFORM DOMAIN.IET SIGNAL PROCESSING. VOL. 10. ISSUE 2. P. 173 -181 46 98% 0
7 OKTEM, FS , OZAKTAS, HM , (2010) EQUIVALENCE OF LINEAR CANONICAL TRANSFORM DOMAINS TO FRACTIONAL FOURIER DOMAINS AND THE BICANONICAL WIDTH PRODUCT: A GENERALIZATION OF THE SPACE-BANDWIDTH PRODUCT.JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION. VOL. 27. ISSUE 8. P. 1885 -1895 48 84% 19
8 GOEL, N , SINGH, K , (2014) MODIFIED CORRELATION THEOREM FOR THE LINEAR CANONICAL TRANSFORM WITH REPRESENTATION TRANSFORMATION IN QUANTUM MECHANICS.SIGNAL IMAGE AND VIDEO PROCESSING. VOL. 8. ISSUE 3. P. 595-601 37 95% 2
9 BULTHEEL, A , MARTINEZ-SULBARAN, H , (2006) RECENT DEVELOPMENTS IN THE THEORY OF THE FRACTIONAL FOURIER AND LINEAR CANONICAL TRANSFORMS.BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN. VOL. 13. ISSUE 5. P. 971-1005 61 67% 14
10 GOEL, N , SINGH, K , (2016) CONVOLUTION AND CORRELATION THEOREMS FOR THE OFFSET FRACTIONAL FOURIER TRANSFORM AND ITS APPLICATION.AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS. VOL. 70. ISSUE 2. P. 138 -150 28 100% 1

Classes with closest relation at Level 1


Rank Class id link
1 9532 OPTICAL ENCRYPTION//OPTICAL IMAGE ENCRYPTION//DOUBLE RANDOM PHASE ENCODING
2 27535 WAVELENGTH DEPENDENT EFFECTS//MAXWELL OPTICS//MATHEMATICAL METHODS OF OPTICS
3 30804 MONO COMPONENT//BEDROSIAN IDENTITY//RATIONAL ORTHOGONAL SYSTEM
4 5270 POLYNOMIAL PHASE SIGNALS//INSTANTANEOUS FREQUENCY//WIGNER DISTRIBUTION
5 36793 MAT SCI TECHNOL VITREOUS MAT//ISOPLANAR OPTICAL SYSTEM//EIKONAL THEORY
6 2121 LASER PHYS CHEM//TURBULENT ATMOSPHERE//NON KOLMOGOROV TURBULENCE
7 13625 MUTUALLY UNBIASED BASES//SIC POVM//FINITE OSCILLATOR
8 25130 NEUTRIX LIMIT//BOEHMIANS//NEUTRIX
9 7800 IWOP TECHNIQUE//ENTANGLED STATE REPRESENTATION//QUANTUM COMMUN CALCULAT
10 12574 GENERALIZED SAMPLING//AVERAGE SAMPLING//SAMPLING THEOREM

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