-
1
-
-
0035503193
-
An uncertainty principle for real signals in the fractional Fourier transform domain
-
Shinde S., and Vikram M.G. An uncertainty principle for real signals in the fractional Fourier transform domain. IEEE Trans. Signal Process. 49 11 (2001) 2545-2548
-
(2001)
IEEE Trans. Signal Process.
, vol.49
, Issue.11
, pp. 2545-2548
-
-
Shinde, S.1
Vikram, M.G.2
-
2
-
-
0006486256
-
Uncertainty principle invariant under fractional Fourier transform
-
Mustard D. Uncertainty principle invariant under fractional Fourier transform. J. Aust. Math. Soc. Ser. B 33 (1991) 180-191
-
(1991)
J. Aust. Math. Soc. Ser. B
, vol.33
, pp. 180-191
-
-
Mustard, D.1
-
4
-
-
56049125364
-
-
K.K. Selig, Uncertainty principles revisited, Technische Universitat Munchen, Technical Report, 2001. [Online]. Available: 〈http://www-lit.ma.tum.de/veroeff/quel/010.47001.pdf〉.
-
K.K. Selig, Uncertainty principles revisited, Technische Universitat Munchen, Technical Report, 2001. [Online]. Available: 〈http://www-lit.ma.tum.de/veroeff/quel/010.47001.pdf〉.
-
-
-
-
5
-
-
0029369313
-
Fractional Fourier domains
-
Ozaktas H.M., and Aytur O. Fractional Fourier domains. Signal Process. 46 (Sept. 1995) 119-124
-
(1995)
Signal Process.
, vol.46
, pp. 119-124
-
-
Ozaktas, H.M.1
Aytur, O.2
-
6
-
-
0039768601
-
The uncertainty principle: a mathematical survey
-
Folland G.B., and Sitaram A. The uncertainty principle: a mathematical survey. J. Fourier Anal. Appl. 3 3 (1997) 207-238
-
(1997)
J. Fourier Anal. Appl.
, vol.3
, Issue.3
, pp. 207-238
-
-
Folland, G.B.1
Sitaram, A.2
-
7
-
-
0029389835
-
Non-orthogonal domains in phase space of quantum optics and their relation to fractional Fourier transform
-
Aytur O., and Ozaktas H.M. Non-orthogonal domains in phase space of quantum optics and their relation to fractional Fourier transform. Opt. Commun. 120 (1995) 166-170
-
(1995)
Opt. Commun.
, vol.120
, pp. 166-170
-
-
Aytur, O.1
Ozaktas, H.M.2
-
10
-
-
2442623404
-
The uncertainty principle: global, local, or both?
-
Loughlin P.J., and Cohen L. The uncertainty principle: global, local, or both?. IEEE Trans. Signal Process. 52 5 (2004) 1218-1227
-
(2004)
IEEE Trans. Signal Process.
, vol.52
, Issue.5
, pp. 1218-1227
-
-
Loughlin, P.J.1
Cohen, L.2
-
11
-
-
0001542262
-
A note on entropy
-
Hirschman Jr. I.I. A note on entropy. Am. J. Math. 79 1 (January 1957) 152-156
-
(1957)
Am. J. Math.
, vol.79
, Issue.1
, pp. 152-156
-
-
Hirschman Jr., I.I.1
-
13
-
-
1842817380
-
Entropic uncertainty relations in quantum mechanics
-
Accardi L., and von Waldenfels W. (Eds), Springer, Berlin
-
Birula I.B. Entropic uncertainty relations in quantum mechanics. In: Accardi L., and von Waldenfels W. (Eds). Quantum Probability and Applications II, Lecture Notes in Mathematics vol. 1136 (1985), Springer, Berlin 90
-
(1985)
Quantum Probability and Applications II, Lecture Notes in Mathematics
, vol.1136
, pp. 90
-
-
Birula, I.B.1
-
14
-
-
0001491241
-
Pitt's inequality and the uncertainty principle
-
Beckner W. Pitt's inequality and the uncertainty principle. Proc. Am. Math. Soc. 123 6 (June 1995) 1897-1905
-
(1995)
Proc. Am. Math. Soc.
, vol.123
, Issue.6
, pp. 1897-1905
-
-
Beckner, W.1
-
15
-
-
56049126054
-
-
W. Beckner, Pitt's inequality with sharp error estimates, Analysis of PDEs (math. AP), [Online]. Available: 〈http://arxiv.org/abs/math/0701939〉, accepted for publication.
-
W. Beckner, Pitt's inequality with sharp error estimates, Analysis of PDEs (math. AP), [Online]. Available: 〈http://arxiv.org/abs/math/0701939〉, accepted for publication.
-
-
-
-
16
-
-
56049120897
-
-
W. Beckner, Pitt's inequality with sharp convolution estimates, eprint arXiv:math/0701939, [Online]. Available: 〈http://adsabs.harvard.edu/abs/2007math......1939B〉.
-
W. Beckner, Pitt's inequality with sharp convolution estimates, eprint arXiv:math/0701939, [Online]. Available: 〈http://adsabs.harvard.edu/abs/2007math......1939B〉.
-
-
-
-
17
-
-
0027652515
-
Fractional Fourier transforms and their optical implementation (I)
-
Mendlovic D., and Ozaktas H.M. Fractional Fourier transforms and their optical implementation (I). J. Opt. Soc. Am. Assoc. 10 10 (1993) 1875-1881
-
(1993)
J. Opt. Soc. Am. Assoc.
, vol.10
, Issue.10
, pp. 1875-1881
-
-
Mendlovic, D.1
Ozaktas, H.M.2
-
18
-
-
0027740848
-
Fractional Fourier transforms and their optical implementation (II)
-
Ozaktas H.M., and Mendlovic D. Fractional Fourier transforms and their optical implementation (II). J. Opt. Soc. Am. A 10 10 (1993) 2522-2531
-
(1993)
J. Opt. Soc. Am. A
, vol.10
, Issue.10
, pp. 2522-2531
-
-
Ozaktas, H.M.1
Mendlovic, D.2
-
19
-
-
77958407025
-
The fractional order Fourier transform and its application to quantum mechanics
-
Namias V. The fractional order Fourier transform and its application to quantum mechanics. J. Inst. Math. Appl. 25 (1980) 241-265
-
(1980)
J. Inst. Math. Appl.
, vol.25
, pp. 241-265
-
-
Namias, V.1
-
20
-
-
0035424885
-
Relations between Fractional operations and time-frequency distributions, and their applications
-
Pei S.C., and Ding J.J. Relations between Fractional operations and time-frequency distributions, and their applications. IEEE Trans. Signal Proc. 49 8 (2001) 1638-1655
-
(2001)
IEEE Trans. Signal Proc.
, vol.49
, Issue.8
, pp. 1638-1655
-
-
Pei, S.C.1
Ding, J.J.2
-
21
-
-
0035309420
-
Two-dimensional affine generalized fractional Fourier transform
-
Pei S.C., and Ding J.J. Two-dimensional affine generalized fractional Fourier transform. IEEE Trans. Signal Process. 49 4 (2001) 878-897
-
(2001)
IEEE Trans. Signal Process.
, vol.49
, Issue.4
, pp. 878-897
-
-
Pei, S.C.1
Ding, J.J.2
-
22
-
-
0033702254
-
The uncertainty principles of windowed wave functions
-
Cohen L. The uncertainty principles of windowed wave functions. Opt. Commun. 179 (2000) 221-229
-
(2000)
Opt. Commun.
, vol.179
, pp. 221-229
-
-
Cohen, L.1
-
23
-
-
4243455901
-
Operational approach to phase-space measurements in quantum mechanics
-
Wódkiewicz K. Operational approach to phase-space measurements in quantum mechanics. Phys. Rev. Lett. 52 13 (1984) 1064-1067
-
(1984)
Phys. Rev. Lett.
, vol.52
, Issue.13
, pp. 1064-1067
-
-
Wódkiewicz, K.1
-
24
-
-
0141996361
-
Time-frequency signal analysis based on the windowed fractional Fourier transform
-
Stankovic L., Alieva T., and Bastiaans M.J. Time-frequency signal analysis based on the windowed fractional Fourier transform. Signal Process. 83 (2003) 2459-2468
-
(2003)
Signal Process.
, vol.83
, pp. 2459-2468
-
-
Stankovic, L.1
Alieva, T.2
Bastiaans, M.J.3
-
25
-
-
0038320362
-
Fractional Fourier transform of the Gaussian and fractional domain signal support
-
Capus C., and Brown K. Fractional Fourier transform of the Gaussian and fractional domain signal support. IEE Proc. Vision Image Signal Process. 150 2 (2003) 99-106
-
(2003)
IEE Proc. Vision Image Signal Process.
, vol.150
, Issue.2
, pp. 99-106
-
-
Capus, C.1
Brown, K.2
|