-
2
-
-
56749180547
-
Timefrequency feature representation using energy concentration: An overview of recent advances
-
E. Sejdić, I. Djurović, and J. Jiang Timefrequency feature representation using energy concentration: an overview of recent advances Digital Signal Processing 19 1 2009 153 183
-
(2009)
Digital Signal Processing
, vol.19
, Issue.1
, pp. 153-183
-
-
Sejdić, E.1
Djurović, I.2
Jiang, J.3
-
6
-
-
0000910767
-
A theory of generalized functions, with applications to Wigner distribution and Weyl correspondence
-
N.G. De Bruijn A theory of generalized functions, with applications to Wigner distribution and Weyl correspondence Nieuw Archief voor Wiskunde 21 1973 205 280
-
(1973)
Nieuw Archief voor Wiskunde
, vol.21
, pp. 205-280
-
-
De Bruijn, N.G.1
-
7
-
-
77958407025
-
The fractional order Fourier transform and its application to quantum mechanics
-
V. Namias The fractional order Fourier transform and its application to quantum mechanics IMA Journal of Applied Mathematics 25 3 1980 241 265
-
(1980)
IMA Journal of Applied Mathematics
, vol.25
, Issue.3
, pp. 241-265
-
-
Namias, V.1
-
8
-
-
0141620336
-
The fractional Fourier transform: Theory, implementation and error analysis
-
V.A. Narayanan, and K.M.M. Prabhu The fractional Fourier transform: theory, implementation and error analysis Microprocessors and Microsystems 27 10 2003 511 521
-
(2003)
Microprocessors and Microsystems
, vol.27
, Issue.10
, pp. 511-521
-
-
Narayanan, V.A.1
Prabhu, K.M.M.2
-
12
-
-
0028546458
-
The fractional Fourier transform and timefrequency representations
-
L.B. Almeida The fractional Fourier transform and timefrequency representations IEEE Transactions on Signal Processing 42 11 1994 3084 3091
-
(1994)
IEEE Transactions on Signal Processing
, vol.42
, Issue.11
, pp. 3084-3091
-
-
Almeida, L.B.1
-
13
-
-
0032295753
-
A unified framework for the fractional fourier transform
-
PII S1053587X98087054
-
G. Cariolaro, T. Erseghe, P. Kraniauskas, and N. Laurenti A unified framework for the fractional Fourier transform IEEE Transactions on Signal Processing 46 12 1998 3206 3219 (Pubitemid 128744190)
-
(1998)
IEEE Transactions on Signal Processing
, vol.46
, Issue.12
, pp. 3206-3219
-
-
Cariolaro, G.1
Erseghe, T.2
Kraniauskas, P.3
Laurent, N.4
-
14
-
-
0030413251
-
On the relationship between the Fourier and fractional Fourier transforms
-
PII S1070990896090347
-
A.I. Zayed On the relationship between the Fourier and fractional Fourier transforms IEEE Signal Processing Letters 3 12 1996 310 311 (Pubitemid 126527116)
-
(1996)
IEEE Signal Processing Letters
, vol.3
, Issue.12
, pp. 310-311
-
-
Zayed, A.I.1
-
15
-
-
0030826059
-
Product and convolution theorems for the fractional Fourier transform
-
L.B. Almeida Product and convolution theorems for the fractional Fourier transform IEEE Signal Processing Letters 4 1 1997 15 17 (Pubitemid 127554931)
-
(1997)
IEEE Signal Processing Letters
, vol.4
, Issue.1
, pp. 15-17
-
-
Almeida, L.B.1
-
16
-
-
0000968040
-
Relationship between the ambiguity function coordinate transformations and the fractional Fourier transform
-
LJ. Stanković, and I. Djurović Relationship between the ambiguity function coordinate transformations and the fractional Fourier transform Annales des Telecommunications 53 7/8 1998 316 319 (Pubitemid 128548011)
-
(1998)
Annales des Telecommunications/Annals of Telecommunications
, vol.53
, Issue.7-8
, pp. 316-319
-
-
Stankovic, L.1
Djurovic, I.2
-
17
-
-
0034319868
-
On fractional Fourier transform moments
-
DOI 10.1109/97.873570
-
T. Alieva, and M.J. Bastiaans On fractional Fourier transform moments IEEE Signal Processing Letters 7 11 2000 320 323 (Pubitemid 32027068)
-
(2000)
IEEE Signal Processing Letters
, vol.7
, Issue.11
, pp. 320-323
-
-
Alieva, T.1
Bastiaans, M.J.2
-
18
-
-
0027594695
-
Kernel design for timefrequency signal analysis using the Radon transform
-
B. Ristic, and B. Boashash Kernel design for timefrequency signal analysis using the Radon transform IEEE Transactions on Signal Processing 41 5 1993 1996 2008
-
(1993)
IEEE Transactions on Signal Processing
, vol.41
, Issue.5
, pp. 1996-2008
-
-
Ristic, B.1
Boashash, B.2
-
19
-
-
0030081464
-
Effect of fractional Fourier transformation on time-frequency distributions belonging to the Cohen class
-
PII S1070990896011601
-
H.M. Ozaktas, N. Erkaya, and M.A. Kutay Effect of fractional Fourier transformation on timefrequency distributions belonging to the Cohen class IEEE Signal Processing Letters 3 2 1996 40 41 (Pubitemid 126534561)
-
(1996)
IEEE Signal Processing Letters
, vol.3
, Issue.2
, pp. 40-41
-
-
Ozaktas, H.M.1
Erkaya, N.2
Kutay, M.A.3
-
21
-
-
0141996361
-
Timefrequency signal analysis based on the windowed fractional Fourier transform
-
LJ. Stanković, T. Alieva, and M.J. Bastiaans Timefrequency signal analysis based on the windowed fractional Fourier transform Signal Processing 83 11 2003 2459 2468
-
(2003)
Signal Processing
, vol.83
, Issue.11
, pp. 2459-2468
-
-
Stanković, L.J.1
Alieva, T.2
Bastiaans, M.J.3
-
22
-
-
0027682286
-
Image rotation, Wigner rotation, and the fractional Fourier transform
-
A.W. Lohmann Image rotation, Wigner rotation, and the fractional Fourier transform Journal of the Optical Society of America A: Optics and Image Science, and Vision 10 10 1993 2181 2186
-
(1993)
Journal of the Optical Society of America A: Optics and Image Science, and Vision
, vol.10
, Issue.10
, pp. 2181-2186
-
-
Lohmann, A.W.1
-
23
-
-
0000370279
-
New signal representation based on the fractional Fourier transform: Definitions
-
D. Mendlovic, Z. Zalevsky, R.G. Dorsch, Y. Bitran, A.W. Lohmann, and H.M. Ozaktas New signal representation based on the fractional Fourier transform: definitions Journal of the Optical Society of America A: Optics and Image Science, and Vision 12 11 1995 2424 2431
-
(1995)
Journal of the Optical Society of America A: Optics and Image Science, and Vision
, vol.12
, Issue.11
, pp. 2424-2431
-
-
Mendlovic, D.1
Zalevsky, Z.2
Dorsch, R.G.3
Bitran, Y.4
Lohmann, A.W.5
Ozaktas, H.M.6
-
25
-
-
0035424885
-
Relations between fractional operations and time-frequency distributions, and their applications
-
DOI 10.1109/78.934134, PII S1053587X01058494
-
S.-C. Pei, and J.-J. Ding Relations between fractional operations and timefrequency distributions, and their applications IEEE Transactions on Signal Processing 49 8 2001 1638 1655 (Pubitemid 32732606)
-
(2001)
IEEE Transactions on Signal Processing
, vol.49
, Issue.8
, pp. 1638-1655
-
-
Pei, S.-C.1
Ding, J.-J.2
-
26
-
-
0028539817
-
Radon transformation of timefrequency distributions for analysis of multicomponent signals
-
J. Wood, and D. Barry Radon transformation of timefrequency distributions for analysis of multicomponent signals IEEE Transactions on Signal Processing 42 11 1994 3166 3177
-
(1994)
IEEE Transactions on Signal Processing
, vol.42
, Issue.11
, pp. 3166-3177
-
-
Wood, J.1
Barry, D.2
-
28
-
-
0029408869
-
A new form of the Fourier transform for time-varying frequency estimation
-
V. Katkovnik A new form of the Fourier transform for time-varying frequency estimation Signal Processing 47 2 1995 187 200
-
(1995)
Signal Processing
, vol.47
, Issue.2
, pp. 187-200
-
-
Katkovnik, V.1
-
29
-
-
0032188420
-
Discrete-time local polynomial approximation of the instantaneous frequency
-
PII S1053587X98070652
-
V. Katkovnik Discrete-time local polynomial approximation of the instantaneous frequency IEEE Transactions on Signal Processing 46 10 1998 2626 2637 (Pubitemid 128744118)
-
(1998)
IEEE Transactions on Signal Processing
, vol.46
, Issue.10
, pp. 2626-2637
-
-
Katkovnik, V.1
-
30
-
-
35148871148
-
Relations between gabor transforms and fractional fourier transforms and their applications for signal processing
-
DOI 10.1109/TSP.2007.896271
-
S.-C. Pei, and J.-J. Ding Relations between Gabor transforms and fractional Fourier transforms and their applications for signal processing IEEE Transactions on Signal Processing 55 10 2007 4839 4850 (Pubitemid 47534652)
-
(2007)
IEEE Transactions on Signal Processing
, vol.55
, Issue.10
, pp. 4839-4850
-
-
Pei, S.-C.1
Ding, J.-J.2
-
31
-
-
0028382656
-
Convolution, filtering, and multiplexing in fractional Fourier domains and their relation to chirp and wavelet transforms
-
H.M. Ozaktas, B. Barshan, D. Mendlovic, and L. Onural Convolution, filtering, and multiplexing in fractional Fourier domains and their relation to chirp and wavelet transforms Journal of the Optical Society of America A: Optics and Image Science, and Vision 11 2 1994 547 559
-
(1994)
Journal of the Optical Society of America A: Optics and Image Science, and Vision
, vol.11
, Issue.2
, pp. 547-559
-
-
Ozaktas, H.M.1
Barshan, B.2
Mendlovic, D.3
Onural, L.4
-
32
-
-
0028478769
-
Fractional Fourier transforms, wavelet transforms, and adaptive neural networks
-
S.-Y. Lee, and H.H. Szu Fractional Fourier transforms, wavelet transforms, and adaptive neural networks Optical Engineering 33 7 1994 2326 2330
-
(1994)
Optical Engineering
, vol.33
, Issue.7
, pp. 2326-2330
-
-
Lee, S.-Y.1
Szu, H.H.2
-
33
-
-
0038320362
-
Fractional Fourier transform of the Gaussian and fractional domain signal support
-
C. Capus, and K. Brown Fractional Fourier transform of the Gaussian and fractional domain signal support IEE ProceedingsVision, Image, and Signal Processing 150 2 2003 99 106
-
(2003)
IEE ProceedingsVision, Image, and Signal Processing
, vol.150
, Issue.2
, pp. 99-106
-
-
Capus, C.1
Brown, K.2
-
34
-
-
0035555568
-
Fractional-Fourier-domain weighted Wigner distribution
-
Singapore, August 6-8
-
LJ. Stanković, T. Alieva, M.J. Bastiaans, Fractional-Fourier- domain weighted Wigner distribution, in: Proceedings of the 11th IEEE Signal Processing Workshop on Statistical Signal Processing, Singapore, August 68, 2001, pp. 321324.
-
(2001)
Proceedings of the 11th IEEE Signal Processing Workshop on Statistical Signal Processing
, pp. 321-324
-
-
Stanković, L.J.1
-
35
-
-
0029703735
-
Discrete rotational Gabor transform
-
Paris, France, June 18-21
-
A. Akan, L. Chaparro, Discrete rotational Gabor transform, in: Proceedings of IEEE-SP International Symposium on TimeFrequency and Time-Scale Analysis, Paris, France, June 1821, 1996, pp. 169172.
-
(1996)
Proceedings of IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis
, pp. 169-172
-
-
Akan, A.1
Chaparro, L.2
-
36
-
-
85143189910
-
A fractional Gabor transform
-
Adelaide, SA, Australia, April 19-22
-
A. Akan, V. Shakhmurov, Y. eki, A fractional Gabor transform, in: Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 1994), vol. 6, Adelaide, SA, Australia, April 1922, 1994.
-
(1994)
Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 1994)
, vol.6
-
-
A. Akan1
-
38
-
-
0008367456
-
Fractional Gabor transform
-
Y. Zhang, B.-Y. Gu, B.-Z. Dong, G.-Z. Yang, H. Ren, X. Zhang, and S. Liu Fractional Gabor transform Optics Letters 22 21 1997 1583 1585 (Pubitemid 127565230)
-
(1997)
Optics Letters
, vol.22
, Issue.21
, pp. 1583-1585
-
-
Zhang, Y.1
Gu, B.-Y.2
Dong, B.-Z.3
Yang, G.-Z.4
Ren, H.5
Zhang, X.6
Liu, S.7
-
40
-
-
0030288297
-
On generalized-marginal timefrequency distributions
-
X.-G. Xia, Y. Owechko, B.H. Soffer, and R.M. Matic On generalized-marginal timefrequency distributions IEEE Transactions on Signal Processing 44 11 1996 2882 2886
-
(1996)
IEEE Transactions on Signal Processing
, vol.44
, Issue.11
, pp. 2882-2886
-
-
Xia, X.-G.1
Owechko, Y.2
Soffer, B.H.3
Matic, R.M.4
-
41
-
-
0035503193
-
An uncertainty principle for real signals in the fractional Fourier transform domain
-
DOI 10.1109/78.960402, PII S1053587X01092170
-
S. Shinde, and V.M. Gadre An uncertainty principle for real signals in the fractional Fourier transform domain IEEE Transactions on Signal Processing 49 11 2001 2545 2548 (Pubitemid 33048425)
-
(2001)
IEEE Transactions on Signal Processing
, vol.49
, Issue.11
, pp. 2545-2548
-
-
Shinde, S.1
Gadre, V.M.2
-
42
-
-
56049121172
-
The logarithmic, Heisenberg's and short-time uncertainty principles associated with fractional Fourier transform
-
X. Guanlei, W. Xiaotong, and X. Xiaogang The logarithmic, Heisenberg's and short-time uncertainty principles associated with fractional Fourier transform Signal Processing 89 3 2009 339 343
-
(2009)
Signal Processing
, vol.89
, Issue.3
, pp. 339-343
-
-
Guanlei, X.1
Xiaotong, W.2
Xiaogang, X.3
-
43
-
-
58149503905
-
Three uncertainty relations for real signals associated with linear canonical transform
-
X. Guanlei, W. Xiaotong, and X. Xiaogang Three uncertainty relations for real signals associated with linear canonical transform IET Signal Processing 3 1 2009 85 92
-
(2009)
IET Signal Processing
, vol.3
, Issue.1
, pp. 85-92
-
-
Guanlei, X.1
Xiaotong, W.2
Xiaogang, X.3
-
44
-
-
67651085299
-
Generalized entropic uncertainty principle on fractional Fourier transform
-
X. Guanlei, W. Xiaotong, and X. Xiaogang Generalized entropic uncertainty principle on fractional Fourier transform Signal Processing 89 12 2009 2692 2697
-
(2009)
Signal Processing
, vol.89
, Issue.12
, pp. 2692-2697
-
-
Guanlei, X.1
Xiaotong, W.2
Xiaogang, X.3
-
45
-
-
0036173698
-
Eigenfunctions of linear canonical transform
-
DOI 10.1109/78.972478, PII S1053587X02004130
-
S.-C. Pei, and J.-J. Ding Eigenfunctions of linear canonical transform IEEE Transactions on Signal Processing 50 1 2002 11 26 (Pubitemid 34156568)
-
(2002)
IEEE Transactions on Signal Processing
, vol.50
, Issue.1
, pp. 11-26
-
-
Pei, S.-C.1
Ding, J.-J.2
-
47
-
-
0028464541
-
A multitime definition of the Wigner higher order distribution: L-Wigner distribution
-
LJ. Stanković A multitime definition of the Wigner higher order distribution: L-Wigner distribution IEEE Signal Processing Letters 1 7 1994 106 109
-
(1994)
IEEE Signal Processing Letters
, vol.1
, Issue.7
, pp. 106-109
-
-
Stanković, L.J.1
-
48
-
-
0032659447
-
Design of higher order polynomial WignerVille distributions
-
B. Barkat, and B. Boashash Design of higher order polynomial WignerVille distributions IEEE Transactions on Signal Processing 47 9 1999 2608 2611
-
(1999)
IEEE Transactions on Signal Processing
, vol.47
, Issue.9
, pp. 2608-2611
-
-
Barkat, B.1
Boashash, B.2
-
50
-
-
0030107597
-
On bandlimited signals with fractional fourier transform
-
PII S1070990896018366
-
X.-G. Xia On bandlimited signals with fractional Fourier transform IEEE Signal Processing Letters 3 3 1996 72 74 (Pubitemid 126534572)
-
(1996)
IEEE Signal Processing Letters
, vol.3
, Issue.3
, pp. 72-74
-
-
Xia, X.-G.1
-
51
-
-
0033177623
-
New sampling formulae for the fractional Fourier transform
-
A.I. Zayed, and A.G. Garcia New sampling formulae for the fractional Fourier transform Signal Processing 77 1 1999 111 114
-
(1999)
Signal Processing
, vol.77
, Issue.1
, pp. 111-114
-
-
Zayed, A.I.1
Garcia, A.G.2
-
52
-
-
0033345657
-
Unified fractional Fourier transform and sampling theorem
-
DOI 10.1109/78.806089
-
T. Erseghe, P. Kraniauskas, and G. Carioraro Unified fractional Fourier transform and sampling theorem IEEE Transactions on Signal Processing 47 12 1999 3419 3423 (Pubitemid 30531537)
-
(1999)
IEEE Transactions on Signal Processing
, vol.47
, Issue.12
, pp. 3419-3423
-
-
Erseghe, T.1
-
53
-
-
0141892675
-
Sampling and series expansion theorems for fractional Fourier and other transforms
-
C. Candan, and H.M. Ozaktas Sampling and series expansion theorems for fractional Fourier and other transforms Signal Processing 83 11 2003 2455 2457
-
(2003)
Signal Processing
, vol.83
, Issue.11
, pp. 2455-2457
-
-
Candan, C.1
Ozaktas, H.M.2
-
54
-
-
27744597802
-
Fractional Fourier transform of bandlimited periodic signals and its sampling theorems
-
DOI 10.1016/j.optcom.2005.07.003, PII S0030401805006802
-
K.K. Sharma, and S.D. Joshi Fractional Fourier transform of bandlimited periodic signals and its sampling theorems Optics Communications 256 46 2005 272 278 (Pubitemid 41617879)
-
(2005)
Optics Communications
, vol.256
, Issue.4-6
, pp. 272-278
-
-
Sharma, K.K.1
Joshi, S.D.2
-
55
-
-
37748999882
-
Sampling and sampling rate conversion of band limited signals in the fractional Fourier transform domain
-
R. Tao, B. Deng, W.-Q. Zhang, and Y. Wang Sampling and sampling rate conversion of band limited signals in the fractional Fourier transform domain IEEE Transactions on Signal Processing 56 1 2008 158 171
-
(2008)
IEEE Transactions on Signal Processing
, vol.56
, Issue.1
, pp. 158-171
-
-
Tao, R.1
Deng, B.2
Zhang, W.-Q.3
Wang, Y.4
-
56
-
-
33747799699
-
Closed-form discrete fractional and affine Fourier transforms
-
S.-C. Pei, and J.-J. Ding Closed-form discrete fractional and affine Fourier transforms IEEE Transactions on Signal Processing 48 5 2000 1338 1353
-
(2000)
IEEE Transactions on Signal Processing
, vol.48
, Issue.5
, pp. 1338-1353
-
-
Pei, S.-C.1
Ding, J.-J.2
-
57
-
-
0029701802
-
The discrete fractional Fourier transformation
-
June 18-21
-
O. Arikan, M.A. Kutay, H.M. Ozaktas, O.K. Akdemir, The discrete fractional Fourier transformation, in: Proceedings of the IEEE-SP International Symposium on TimeFrequency and Time-Scale Analysis, June 1821, 1996, pp. 205207.
-
(1996)
Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis
, pp. 205-207
-
-
Arikan, O.1
Kutay, M.A.2
Ozaktas, H.M.3
Akdemir, O.K.4
-
58
-
-
0030243105
-
Digital computation of the fractional fourier transform
-
PII 1053587X96066809
-
H.M. Ozaktas, O. Arikan, M.A. Kutay, and G. Bozdagt Digital computation of the fractional Fourier transform IEEE Transactions on Signal Processing 44 9 1996 2141 2150 (Pubitemid 126776500)
-
(1996)
IEEE Transactions on Signal Processing
, vol.44
, Issue.9
, pp. 2141-2150
-
-
Ozaktas, H.M.1
Ankan, O.2
Alper Kutay, M.3
Bozdagi, G.4
-
59
-
-
0031190361
-
Improved discrete fractional Fourier transform
-
S.-C. Pei, and M.-H. Yeh Improved discrete fractional Fourier transform Optics Letters 22 14 1997 1047 1049 (Pubitemid 127562027)
-
(1997)
Optics Letters
, vol.22
, Issue.14
, pp. 1047-1049
-
-
Pei, S.-C.1
Yeh, M.-H.2
-
60
-
-
0032669485
-
Discrete fractional Fourier transform based on orthogonal projections
-
S.-C. Pei, M.H. Yeh, and C.C. Tseng Discrete fractional Fourier transform based on orthogonal projections IEEE Transactions on Signal Processing 47 5 1999 1335 1348
-
(1999)
IEEE Transactions on Signal Processing
, vol.47
, Issue.5
, pp. 1335-1348
-
-
Pei, S.-C.1
Yeh, M.H.2
Tseng, C.C.3
-
63
-
-
0032098780
-
Discrete fractional hartley and fourier transforms
-
PII S1057713098021314
-
S.-C. Pei, C.-C. Tseng, M.-H. Yeh, and J.-J. Shyu Discrete fractional Hartley and Fourier transforms IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing 45 6 1998 665 675 (Pubitemid 128745942)
-
(1998)
IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing
, vol.45
, Issue.6
, pp. 665-675
-
-
Pei, S.-C.1
Tseng, C.-C.2
Yeh, M.-H.3
Shyu, J.-J.4
-
64
-
-
0242357006
-
Fractional discrete Fourier transforms
-
Z.T. Deng, H.J. Caulfield, and M. Schamschula Fractional discrete Fourier transforms Optics Letters 21 18 1996 1430 1432 (Pubitemid 126536981)
-
(1996)
Optics Letters
, vol.21
, Issue.18
, pp. 1430-1432
-
-
Deng, Z.-T.1
Caulfield, H.J.2
Schamschula, M.3
-
65
-
-
33646881267
-
The multiple-parameter discrete fractional Fourier transform
-
DOI 10.1109/LSP.2006.871721
-
S.-C. Pei, and W.-L. Hsue The multiple-parameter discrete fractional Fourier transform IEEE Signal Processing Letters 13 6 2006 329 332 (Pubitemid 43786517)
-
(2006)
IEEE Signal Processing Letters
, vol.13
, Issue.6
, pp. 329-332
-
-
Pei, S.-C.1
Hsue, W.-L.2
-
66
-
-
17644399112
-
On the multiangle centered discrete fractional Fourier transform
-
DOI 10.1109/LSP.2005.843762
-
J.G. Vargas-Rubio, and B. Santhanam On the multiangle centered discrete fractional Fourier transform IEEE Signal Processing Letters 12 4 2005 273 276 (Pubitemid 40555671)
-
(2005)
IEEE Signal Processing Letters
, vol.12
, Issue.4
, pp. 273-276
-
-
Vargas-Rubio, J.G.1
Santhanam, B.2
-
68
-
-
34548751172
-
On higher order approximations for Hermite-Gaussian functions and discrete fractional fourier transforms
-
DOI 10.1109/LSP.2007.898354
-
C. Candan On higher order approximations for HermiteGaussian functions and discrete fractional Fourier transforms IEEE Signal Processing Letters 14 10 2007 699 702 (Pubitemid 47434088)
-
(2007)
IEEE Signal Processing Letters
, vol.14
, Issue.10
, pp. 699-702
-
-
Candan, C.1
-
69
-
-
33749408770
-
Discrete fractional Fourier transform based on new nearly tridiagonal commuting matrices
-
DOI 10.1109/TSP.2006.879313
-
S.-C. Pei, W.-L. Hsue, and J.-J. Ding Discrete fractional Fourier transform based on new nearly tridiagonal commuting matrices IEEE Transactions on Signal Processing 54 10 2006 3815 3828 (Pubitemid 44500836)
-
(2006)
IEEE Transactions on Signal Processing
, vol.54
, Issue.10
, pp. 3815-3828
-
-
Pei, S.-C.1
Hsue, W.-L.2
Ding, J.-J.3
-
70
-
-
0037333192
-
A method for the discrete fractional Fourier transform computation
-
M.-H. Yeh, and S.-C. Pei A method for the discrete fractional Fourier transform computation IEEE Transactions on Signal Processing 51 3 2003 889 891
-
(2003)
IEEE Transactions on Signal Processing
, vol.51
, Issue.3
, pp. 889-891
-
-
Yeh, M.-H.1
Pei, S.-C.2
-
71
-
-
0031121373
-
Fast Quadratic Phase Transform for Estimating the Parameters of Multicomponent Chrip Signals
-
M.Z. Ikram, K. Abed-Meraim, and Y. Hua Fast quadratic phase transform for estimating the parameters of multicomponent chirp signals Digital Signal Processing 7 1997 127 135 (Pubitemid 127435604)
-
(1997)
Digital Signal Processing: A Review Journal
, vol.7
, Issue.2
, pp. 127-135
-
-
Ikram, M.Z.1
Abed-Meraim, K.2
Hua, Y.3
-
72
-
-
0034324497
-
Discrete chirp-Fourier transform and its applications to chirp rate estimation
-
X.-G. Xia Discrete chirp-Fourier transform and its applications to chirp rate estimation IEEE Transactions on Signal Processing 48 11 2000 3122 3233
-
(2000)
IEEE Transactions on Signal Processing
, vol.48
, Issue.11
, pp. 3122-3233
-
-
Xia, X.-G.1
-
73
-
-
33947652131
-
Radix-2 DIF fast algorithms for polynomial time-frequency transforms
-
DOI 10.1109/TAES.2006.314595
-
G. Bi, Y. Wei, G. Li, and C. Wang Radix-2 DIF fast algorithms for polynomial timefrequency transforms IEEE Transactions on Aerospace and Electronic Systems 42 4 2006 1540 1546 (Pubitemid 46502280)
-
(2006)
IEEE Transactions on Aerospace and Electronic Systems
, vol.42
, Issue.4
, pp. 1540-1546
-
-
Bi, G.1
Wei, Y.2
Li, G.3
Wan, C.4
Si, B.5
-
74
-
-
35148894376
-
Generalized fast algorithms for the polynomial time-frequency transform
-
DOI 10.1109/TSP.2007.896102
-
Y. Ju, and G. Bi Generalized fast algorithms for the polynomial time frequency transforms IEEE Transactions on Signal Processing 55 10 2007 4907 4915 (Pubitemid 47534657)
-
(2007)
IEEE Transactions on Signal Processing
, vol.55
, Issue.10
, pp. 4907-4915
-
-
Ju, Y.1
Bi, G.2
-
75
-
-
54049123397
-
Fast algorithms for polynomial timefrequency transforms of real-valued sequences
-
G. Bi, Y. Ju, and X. Li Fast algorithms for polynomial timefrequency transforms of real-valued sequences IEEE Transactions on Signal Processing 56 5 2008 1905 1915
-
(2008)
IEEE Transactions on Signal Processing
, vol.56
, Issue.5
, pp. 1905-1915
-
-
Bi, G.1
Ju, Y.2
Li, X.3
-
76
-
-
0030677495
-
Understanding discrete rotations
-
April 21-24
-
M.S. Richman, T.W. Parks, Understanding discrete rotations, in: Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP-97), vol. 3, April 2124, 1997, pp. 20572060.
-
(1997)
Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP-97)
, vol.3
, pp. 2057-2060
-
-
Richman, M.S.1
Parks, T.W.2
-
77
-
-
0031169940
-
A fast algorithm for fractional Fourier transforms
-
PII S0030401897000576
-
X. Deng, Y. Li, D. Fan, and Y. Qiu A fast algorithm for fractional Fourier transforms Optics Communications 138 46 1997 270 274 (Pubitemid 127367267)
-
(1997)
Optics Communications
, vol.138
, Issue.4-6
, pp. 270-274
-
-
Deng, X.1
Li, Y.2
Fan, D.3
Qiu, Y.4
-
78
-
-
0002570968
-
Convolution and filtering in fractional Fourier domains
-
H.M. Ozaktas, B. Barshan, and D. Mendlovic Convolution and filtering in fractional Fourier domains Optical Review 1 1 1994 15 16
-
(1994)
Optical Review
, vol.1
, Issue.1
, pp. 15-16
-
-
Ozaktas, H.M.1
Barshan, B.2
Mendlovic, D.3
-
79
-
-
79952004447
-
Applications of the fractional Fourier transform to filtering, estimation and restoration
-
Antalya, Turkey, June 20-23
-
M.F. Erden, M.A. Kutay, H.M. Ozaktas, Applications of the fractional Fourier transform to filtering, estimation and restoration, in: Proceedings of the IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing (NSIP'99), Antalya, Turkey, June 2023, 1999, pp. 481485.
-
(1999)
Proceedings of the IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing (NSIP'99)
, pp. 481-485
-
-
Erden, M.F.1
Kutay, M.A.2
Ozaktas, H.M.3
-
81
-
-
72949089483
-
Adaptive fractional Fourier domain filtering
-
L. Durak, and S. Aldirmaz Adaptive fractional Fourier domain filtering Signal Processing 90 4 2010 1188 1196
-
(2010)
Signal Processing
, vol.90
, Issue.4
, pp. 1188-1196
-
-
Durak, L.1
Aldirmaz, S.2
-
83
-
-
42749103737
-
A digital watermarking algorithm for image based on fractional Fourier transform
-
Singapore, May 24-26
-
F.Q. Yu, Z.K. Zhang, M.H. Xu, A digital watermarking algorithm for image based on fractional Fourier transform, in: Proceedings of the 2006 IEEE Conference on Industrial Electronics and Applications, Singapore, May 2426, 2006, pp. 15.
-
(2006)
Proceedings of the 2006 IEEE Conference on Industrial Electronics and Applications
, pp. 1-5
-
-
Yu, F.Q.1
Zhang, Z.K.2
Xu, M.H.3
-
84
-
-
70350524015
-
Dual digital watermarking algorithm for image based on fractional Fourier transform
-
Wuhan, China, June 6-7
-
D. Cui, Dual digital watermarking algorithm for image based on fractional Fourier transform, in: Proceedings of the Second Pacific-Asia Conference on Web Mining and Web-based Application (WMWA '09), Wuhan, China, June 67, 2009, pp. 5154.
-
(2009)
Proceedings of the Second Pacific-Asia Conference on Web Mining and Web-based Application (WMWA '09)
, pp. 51-54
-
-
Cui, D.1
-
85
-
-
34247604039
-
Handbook of image and video processing
-
second ed. Academic Press Boston, MA, USA
-
A. Tefas, N. Nikolaidis, and I. Pitas Handbook of image and video processing Watermarking Techniques for Image Authentication and Copyright Protection second ed. 2005 Academic Press Boston, MA, USA 1083 1109
-
(2005)
Watermarking Techniques for Image Authentication and Copyright Protection
, pp. 1083-1109
-
-
Tefas, A.1
Nikolaidis, N.2
Pitas, I.3
-
86
-
-
77951295002
-
Noise-resistant watermarking in the fractional Fourier domain utilizing moment-based image representation
-
M.A. Savalonas, and S. Chountasis Noise-resistant watermarking in the fractional Fourier domain utilizing moment-based image representation Signal Processing 90 8 2010 2521 2528
-
(2010)
Signal Processing
, vol.90
, Issue.8
, pp. 2521-2528
-
-
Savalonas, M.A.1
Chountasis, S.2
-
87
-
-
0035308124
-
Watermarking in the space/spatial-frequency domain using two-dimensional Radon-Wigner distribution
-
DOI 10.1109/83.913599, PII S1057714901024769
-
S. Stanković, I. Djurović, and I. Pitas Watermarking in the space/spatial-frequency domain using two-dimensional RadonWigner distribution IEEE Transactions on Image Processing 10 4 2001 650 658 (Pubitemid 32371599)
-
(2001)
IEEE Transactions on Image Processing
, vol.10
, Issue.4
, pp. 650-658
-
-
Stankovic, S.1
Djurovic, I.2
Pitas, L.3
-
90
-
-
25144524731
-
Quickly tracing detection for spread spectrum watermark based on effect estimation of the affine transform
-
DOI 10.1016/j.patcog.2005.05.003, PII S0031320305002104
-
G.-R. Feng, L.-G. Jiang, D.-J. Wang, and C. He Quickly tracing detection for spread spectrum watermark based on effect estimation of the affine transform Pattern Recognition 38 12 2005 2530 2536 (Pubitemid 41336721)
-
(2005)
Pattern Recognition
, vol.38
, Issue.12
, pp. 2530-2536
-
-
Feng, G.-R.1
Jiang, L.-G.2
Wang, D.-J.3
He, C.4
-
91
-
-
34247608819
-
Robust watermarking in the wigner domain
-
DOI 10.1109/ICME.2006.262841, 4036910, 2006 IEEE International Conference on Multimedia and Expo, ICME 2006 - Proceedings
-
M. Al-Khassaweneh, S. Aviyente, Robust watermarking in the Wigner domain, in: Proceedings of the 2006 IEEE International Conference on Multimedia and Expo, July 912, 2006, pp. 15571560. (Pubitemid 46680026)
-
(2006)
2006 IEEE International Conference on Multimedia and Expo, ICME 2006 - Proceedings
, vol.2006
, pp. 1557-1560
-
-
Al-khassaweneh, M.1
Aviyente, S.2
-
92
-
-
33748784123
-
A content-based image authentication scheme based on singular value decomposition
-
T.C. Lu, C.C. Chang, and Y.L. Liu A content-based image authentication scheme based on singular value decomposition Pattern Recognition and Image Analysis 16 3 2006 506 522
-
(2006)
Pattern Recognition and Image Analysis
, vol.16
, Issue.3
, pp. 506-522
-
-
Lu, T.C.1
Chang, C.C.2
Liu, Y.L.3
-
93
-
-
33746649585
-
Media hash-dependent image watermarking resilient against both geometric attacks and estimation attacks based on false positive-oriented detection
-
DOI 10.1109/TMM.2006.876300, 1658030
-
C.-S. Lu, S.-W. Sun, C.-Y. Hsu, and P.-C. Chang Media hash-dependent image watermarking resilient against both geometric attacks and estimation attacks based on false positive-oriented detection IEEE Transactions on Multimedia 8 4 2006 668 685 (Pubitemid 44144153)
-
(2006)
IEEE Transactions on Multimedia
, vol.8
, Issue.4
, pp. 668-685
-
-
Lu, C.-S.1
Sun, S.-W.2
Hsu, C.-Y.3
Chang, P.-C.4
-
94
-
-
33746918029
-
Image quality assessment using the joint spatial/spatial-frequency representation
-
A. Beghdadi, and R. Iordache Image quality assessment using the joint spatial/spatial-frequency representation EURASIP Journal on Applied Signal Processing 2006 2006 1 8
-
(2006)
EURASIP Journal on Applied Signal Processing
, vol.2006
, pp. 1-8
-
-
Beghdadi, A.1
Iordache, R.2
-
95
-
-
33847165267
-
Watermarking based on discrete fractional random transform
-
DOI 10.1016/j.optcom.2006.11.034, PII S0030401806012855
-
J. Guo, Z. Liu, and S. Liu Watermarking based on discrete fractional random transform Optics Communications 272 2 2007 344 348 (Pubitemid 46282793)
-
(2007)
Optics Communications
, vol.272
, Issue.2
, pp. 344-348
-
-
Guo, J.1
Liu, Z.2
Liu, S.3
-
96
-
-
50249090540
-
A robust image watermarking based on time-frequency
-
Eskisehir, Turkey, June 11-13
-
M. Ozturk, A. Akan, Y. Cekic, A robust image watermarking based on timefrequency, in: Proceedings of the 15th IEEE Signal Processing and Communications Applications Conference (SIU 2007), Eskisehir, Turkey, June 1113, 2007, pp. 14.
-
(2007)
Proceedings of the 15th IEEE Signal Processing and Communications Applications Conference (SIU 2007)
, pp. 1-4
-
-
Ozturk, M.1
Akan, A.2
Cekic, Y.3
-
98
-
-
0036821495
-
Application of the fractional Fourier transform to moving target detection in airborne SAR
-
H.-B. Sun, G.-S. Liu, H. Gu, and W.-M. Su Application of the fractional Fourier transform to moving target detection in airborne SAR IEEE Transactions on Aerospace and Electronic Systems 38 4 2002 1416 1424
-
(2002)
IEEE Transactions on Aerospace and Electronic Systems
, vol.38
, Issue.4
, pp. 1416-1424
-
-
Sun, H.-B.1
Liu, G.-S.2
Gu, H.3
Su, W.-M.4
-
99
-
-
26844510085
-
A new chirp scaling algorithm based on the fractional Fourier transform
-
DOI 10.1109/LSP.2005.855547
-
A.S. Amein, and J.J. Soraghan A new chirp scaling algorithm based on the fractional Fourier transform IEEE Signal Processing Letters 12 10 2005 705 708 (Pubitemid 41448580)
-
(2005)
IEEE Signal Processing Letters
, vol.12
, Issue.10
, pp. 705-708
-
-
Amein, A.S.1
Soraghan, J.J.2
-
101
-
-
44649164431
-
Novel approach for ISAR image cross-range scaling
-
DOI 10.1109/TAES.2008.4517004
-
M. Martorella Novel approach for ISAR image cross-range scaling IEEE Aerospace and Electronic Systems 44 1 2008 281 294 (Pubitemid 351772587)
-
(2008)
IEEE Transactions on Aerospace and Electronic Systems
, vol.44
, Issue.1
, pp. 281-294
-
-
Martorella, M.1
-
103
-
-
0032184511
-
Autofocusing of SAR images based on the product high-order ambiguity function
-
S. Barbarossa, and A. Scaglione Autofocusing of SAR images based on the product high-order ambiguity function IEE ProceedingsRadar, Sonar and Navigation 145 5 1998 269 273 (Pubitemid 128746150)
-
(1998)
IEE Proceedings: Radar, Sonar and Navigation
, vol.145
, Issue.5
, pp. 269-273
-
-
Barbarossa, S.1
Scaglione, A.2
-
104
-
-
52649162978
-
SAR imaging of moving targets using polynomial Fourier transform
-
I. Djurović, T. Thayaparan, and LJ. Stanković SAR imaging of moving targets using polynomial Fourier transform IET Signal Processing 2 3 2008 237 246
-
(2008)
IET Signal Processing
, vol.2
, Issue.3
, pp. 237-246
-
-
Djurović, I.1
Thayaparan, T.2
Stanković, L.J.3
-
105
-
-
75549089879
-
Autofocusing of SAR images based on parameters estimated from the PHAF
-
V. Popović, I. Djurović, LJ. Stanković, T. Thayaparan, and M. Daković Autofocusing of SAR images based on parameters estimated from the PHAF Signal Processing 90 5 2010 1382 1391
-
(2010)
Signal Processing
, vol.90
, Issue.5
, pp. 1382-1391
-
-
Popović, V.1
Djurović, I.2
Stanković, L.J.3
Thayaparan, T.4
Daković, M.5
-
106
-
-
75549088755
-
Time-frequency analysis for SAR and ISAR imaging
-
Trento, Italy, October 13-17
-
I. Djurović, LJ. Stanković, V. Popović, M. Daković, T. Thayaparan, Timefrequency analysis for SAR and ISAR imaging, in: Proceedings of the NATO Advanced Research Workshop on Geographical Information Processing and Visual Analytics for Environmental Security, Trento, Italy, October 1317, 2008, pp. 113127.
-
(2008)
Proceedings of the NATO Advanced Research Workshop on Geographical Information Processing and Visual Analytics for Environmental Security
, pp. 113-127
-
-
I. Djurović1
-
108
-
-
0035363383
-
A multicarrier system based on the fractional Fourier transform for time-frequency-selective channels
-
DOI 10.1109/26.930631, PII S0090677801048735
-
M. Martone A multicarrier system based on the fractional Fourier transform for timefrequency-selective channels IEEE Transactions on Communications 49 6 2001 1011 1020 (Pubitemid 32651026)
-
(2001)
IEEE Transactions on Communications
, vol.49
, Issue.6
, pp. 1011-1020
-
-
Martone, M.1
-
109
-
-
20144383756
-
A multicarrier architecture based upon the affine fourier transform
-
DOI 10.1109/TCOMM.2005.847162
-
T. Erseghe, N. Laurenti, and V. Cellini A multicarrier architecture based upon the affine Fourier transform IEEE Transactions on Communications 53 5 2005 853 862 (Pubitemid 40773658)
-
(2005)
IEEE Transactions on Communications
, vol.53
, Issue.5
, pp. 853-862
-
-
Erseghe, T.1
Laurenti, N.2
Cellini, V.3
-
111
-
-
68949125659
-
Improved fractional fourier transform based receiver for spatial multiplexed mimo antenna systems
-
R. Khanna, and R. Saxena Improved fractional fourier transform based receiver for spatial multiplexed mimo antenna systems Wireless Personal Communications 50 4 2009 563 574
-
(2009)
Wireless Personal Communications
, vol.50
, Issue.4
, pp. 563-574
-
-
Khanna, R.1
Saxena, R.2
-
112
-
-
70449652721
-
Improved chirp modulation spread spectrum receiver based on Fractional fourier transform for multiple access
-
Singapore, May 15-17
-
H.K. Lakshminarayana, J.S. Bhat, B.N. Jagadale, H.M. Mahesh, Improved chirp modulation spread spectrum receiver based on Fractional fourier transform for multiple access, in: Proceedings of the 2009 International Conference on Signal Processing Systems, Singapore, May 1517, 2009, pp. 282286.
-
(2009)
Proceedings of the 2009 International Conference on Signal Processing Systems
, pp. 282-286
-
-
Lakshminarayana, H.K.1
Bhat, J.S.2
Jagadale, B.N.3
Mahesh, H.M.4
-
113
-
-
0035477995
-
Image representation and compression with the fractional Fourier transform
-
DOI 10.1016/S0030-4018(01)01462-6, PII S0030401801014626
-
I.S. Yetik, M. Kutay, and H.M. Ozaktas Image representation and compression with the fractional Fourier transform Optics Communications 197 46 2001 275 278 (Pubitemid 32908841)
-
(2001)
Optics Communications
, vol.197
, Issue.4-6
, pp. 275-278
-
-
Samil Yetik, I.1
Alper Kutay, M.2
Ozaktas, H.M.3
-
114
-
-
33646918413
-
Signal compression using discrete fractional Fourier transform and set partitioning in hierarchical tree
-
DOI 10.1016/j.sigpro.2005.09.025, PII S016516840500349X
-
C. Vijaya, and J.S. Bhat Signal compression using discrete fractional Fourier transform and set partitioning in hierarchical tree Signal Processing 86 8 2006 1976 1983 (Pubitemid 43795453)
-
(2006)
Signal Processing
, vol.86
, Issue.8
, pp. 1976-1983
-
-
Vijaya, C.1
Bhat, J.S.2
-
115
-
-
0036128617
-
Fractional Fourier transform pre-processing for neural networks and its application to object recognition
-
PII S0893608001001204
-
B. Barshan, and B. Ayrulu Fractional Fourier transform pre-processing for neural networks and its application to object recognition Neural Networks 15 1 2002 131 140 (Pubitemid 34234793)
-
(2002)
Neural Networks
, vol.15
, Issue.1
, pp. 131-140
-
-
Barshan, B.1
Ayrulu, B.2
-
116
-
-
0030189141
-
Synthesis of pattern recognition filters for fractional Fourier processing
-
PII S0030401895000806
-
A.W. Lohmann, Z. Zalevsky, and D. Mendlovic Synthesis of pattern recognition filters for fractional Fourier processing Optics Communications 128 46 1996 199 204 (Pubitemid 126394331)
-
(1996)
Optics Communications
, vol.128
, Issue.4-6
, pp. 199-204
-
-
Lohmann, A.W.1
Zalevsky, Z.2
Mendlovic, D.3
-
118
-
-
33646881267
-
The multiple-parameter discrete fractional Fourier transform
-
DOI 10.1109/LSP.2006.871721
-
S.C. Pei, and W.-L. Hsue The multiple-parameter discrete fractional Fourier transform IEEE Signal Processing Letters 13 6 2006 329 332 (Pubitemid 43786517)
-
(2006)
IEEE Signal Processing Letters
, vol.13
, Issue.6
, pp. 329-332
-
-
Pei, S.-C.1
Hsue, W.-L.2
-
119
-
-
60749105631
-
On the security of a cryptosystem based on multiple-parameters discrete fractional Fourier transform
-
A.M. Youssef On the security of a cryptosystem based on multiple-parameters discrete fractional Fourier transform IEEE Signal Processing Letters 15 2008 77 79
-
(2008)
IEEE Signal Processing Letters
, vol.15
, pp. 77-79
-
-
Youssef, A.M.1
-
120
-
-
41549106256
-
Optical image encryption based on the multiple-parameter fractional Fourier transform
-
R. Tao, J. Lang, and Y. Wang Optical image encryption based on the multiple-parameter fractional Fourier transform Optics Letters 33 6 2008 581 583
-
(2008)
Optics Letters
, vol.33
, Issue.6
, pp. 581-583
-
-
Tao, R.1
Lang, J.2
Wang, Y.3
-
121
-
-
67649322238
-
Deficiencies of the cryptography based on multiple-parameter fractional Fourier transform
-
Q. Ran, H. Zhang, J. Zhang, L. Tang, and J. Ma Deficiencies of the cryptography based on multiple-parameter fractional Fourier transform Optics Letters 34 11 2009 1729 1731
-
(2009)
Optics Letters
, vol.34
, Issue.11
, pp. 1729-1731
-
-
Ran, Q.1
Zhang, H.2
Zhang, J.3
Tang, L.4
Ma, J.5
-
122
-
-
79952005414
-
-
National Institute of Standards and Technology, Advanced encryption standard (AES), Federal Information Processing Standards Publication (FIPS 197), November 2001
-
National Institute of Standards and Technology, Advanced encryption standard (AES), Federal Information Processing Standards Publication (FIPS 197), November 2001.
-
-
-
-
123
-
-
70349588470
-
Random discrete fractional Fourier transform
-
S.C. Pei, and W.-L. Hsue Random discrete fractional Fourier transform IEEE Signal Processing Letters 16 12 2009 1015 1018
-
(2009)
IEEE Signal Processing Letters
, vol.16
, Issue.12
, pp. 1015-1018
-
-
Pei, S.C.1
Hsue, W.-L.2
-
125
-
-
44849092546
-
An improved Hurst parameter estimator based on fractional Fourier transform
-
Las Vegas, Nevada, USA, September 4-7
-
Y.-Q. Chen, R. Sun, A. Zhou, An improved Hurst parameter estimator based on fractional Fourier transform, in: Proceedings of the ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference (IDETC/CIE 2007), Las Vegas, Nevada, USA, September 47, 2007, pp. 111.
-
(2007)
Proceedings of the ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference (IDETC/CIE 2007)
, pp. 1-11
-
-
Chen, Y.-Q.1
Sun, R.2
Zhou, A.3
-
130
-
-
77954624669
-
Diagnosis of induction motor faults in the fractional Fourier domain
-
M. Pineda-Sanchez, M. Riera-Guasp, J.A. Antonino-Daviu, J. Roger-Folch, J. Perez-Cruz, and R. Puche-Panadero Diagnosis of induction motor faults in the fractional Fourier domain IEEE Transactions on Instrumentation and Measurement 59 8 2010 2065 2075
-
(2010)
IEEE Transactions on Instrumentation and Measurement
, vol.59
, Issue.8
, pp. 2065-2075
-
-
Pineda-Sanchez, M.1
Riera-Guasp, M.2
Antonino-Daviu, J.A.3
Roger-Folch, J.4
Perez-Cruz, J.5
Puche-Panadero, R.6
|