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Volumn 123, Issue 2, 2012, Pages 137-139

Sampling of fractional bandlimited signals associated with fractional Fourier transform

Author keywords

Fractional Fourier series; Fractional Fourier transform; Sampling theorem

Indexed keywords

BAND-LIMITED SIGNAL; FRACTIONAL FOURIER SERIES; FRACTIONAL FOURIER TRANSFORMS; RECONSTRUCTION METHOD; SAMPLING EXPANSION; SAMPLING THEOREM; SHANNON THEOREM;

EID: 80054885681     PISSN: 00304026     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijleo.2011.02.024     Document Type: Article
Times cited : (13)

References (21)
  • 1
    • 77958407025 scopus 로고
    • The fractional order Fourier transform and its application to quantum mechanics
    • V. Namias 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
  • 2
    • 0028546458 scopus 로고
    • The fractional Fourier transform and time-frequency representations
    • L.B. Almeida The fractional Fourier transform and time-frequency representations IEEE Trans. Signal Process. 42 1994 3084 3091
    • (1994) IEEE Trans. Signal Process. , vol.42 , pp. 3084-3091
    • Almeida, L.B.1
  • 4
    • 0028382656 scopus 로고
    • Convolution, filtering, and multiplexing in fractional Fourier domain 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 domain and their relation to chirp and wavelet transforms J. Opt. Soc. Am. A 11 1994 547 559
    • (1994) J. Opt. Soc. Am. A , vol.11 , pp. 547-559
    • Ozaktas, H.M.1    Barshan, B.2    Mendlovic, D.3    Onural, L.4
  • 6
    • 0032047886 scopus 로고    scopus 로고
    • A convolution and product theorem for the fractional Fourier transform
    • A.I. Zayed A product and convolution theorems for the fractional Fourier transform IEEE Signal Process. Lett. 4 1998 101 103 (Pubitemid 128556806)
    • (1998) IEEE Signal Processing Letters , vol.5 , Issue.4 , pp. 101-103
    • Zayed, A.I.1
  • 7
    • 0141973669 scopus 로고    scopus 로고
    • Image eneryption and the fractional Foureir transform
    • B.M. Hennelly, and J.T. Sheridan Image eneryption and the fractional Foureir transform Optik 114 2003 251 265
    • (2003) Optik , vol.114 , pp. 251-265
    • Hennelly, B.M.1    Sheridan, J.T.2
  • 8
    • 32044452690 scopus 로고    scopus 로고
    • Application of fractional Fourier transform on spatial filtering
    • DOI 10.1016/j.ijleo.2005.08.003, PII S0030402605002196
    • L. Chen, and D. Zhao Application of fractional Fourier transform on spatial filtering Optik 117 2006 107 110 (Pubitemid 43199963)
    • (2006) Optik , vol.117 , Issue.3 , pp. 107-110
    • Chen, L.1    Zhao, D.2
  • 9
    • 77952129659 scopus 로고    scopus 로고
    • A convolution and product theorem for the linear canonical transform
    • D.Y. Wei, Q.W. Ran, Y.M. Li, J. Ma, and L.Y. Tan A convolution and product theorem for the linear canonical transform IEEE Signal Process. Lett. 16 2009 853 856
    • (2009) IEEE Signal Process. Lett. , vol.16 , pp. 853-856
    • Wei, D.Y.1    Ran, Q.W.2    Li, Y.M.3    Ma, J.4    Tan, L.Y.5
  • 10
    • 67649322238 scopus 로고    scopus 로고
    • Deficiencies of the cryptography based on multiple-parameter fractional Fourier transform
    • Q.W. Ran, H.Y. Zhang, J. Zhang, L.Y. Tan, and J. Ma Deficiencies of the cryptography based on multiple-parameter fractional Fourier transform Optics Lett. 34 2009 1729 1731
    • (2009) Optics Lett. , vol.34 , pp. 1729-1731
    • Ran, Q.W.1    Zhang, H.Y.2    Zhang, J.3    Tan, L.Y.4    Ma, J.5
  • 11
    • 77957908690 scopus 로고    scopus 로고
    • Single phase encoding method based on the fractional Fourier transform
    • Z. Liu, J. Dai, X. Sun, and S. Liu Single phase encoding method based on the fractional Fourier transform Optik 121 2010 1748 1751
    • (2010) Optik , vol.121 , pp. 1748-1751
    • Liu, Z.1    Dai, J.2    Sun, X.3    Liu, S.4
  • 12
    • 0030107597 scopus 로고    scopus 로고
    • On bandlimited signals with fractional Fourier transform
    • X.G. Xia On bandlimited signals with fractional Fourier transform IEEE Signal Process. Lett. 3 1996 72 74
    • (1996) IEEE Signal Process. Lett. , vol.3 , pp. 72-74
    • Xia, X.G.1
  • 13
    • 0030413251 scopus 로고    scopus 로고
    • 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 Process. Lett. 3 1996 310 311 (Pubitemid 126527116)
    • (1996) IEEE Signal Processing Letters , vol.3 , Issue.12 , pp. 310-311
    • Zayed, A.I.1
  • 14
    • 0033345657 scopus 로고    scopus 로고
    • Unified fractional Fourier transform and sampling theorem
    • DOI 10.1109/78.806089
    • T. Erseghe, P. Kraniauskas, and G. Cariolaro Unified fractional Fourier transform and sampling theorem IEEE Trans. Signal Process. 47 1999 3419 3423 (Pubitemid 30531537)
    • (1999) IEEE Transactions on Signal Processing , vol.47 , Issue.12 , pp. 3419-3423
    • Erseghe, T.1
  • 15
    • 0141892675 scopus 로고    scopus 로고
    • 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 Process. 83 2003 2455 2457
    • (2003) Signal Process. , vol.83 , pp. 2455-2457
    • Candan, C.1    Ozaktas, H.M.2
  • 16
    • 33750119845 scopus 로고    scopus 로고
    • Sampling theorem for fractional bandlimited signals: A self-contained proof. application to digital holography
    • DOI 10.1109/LSP.2006.879470
    • R. Torres, P. Pellat-Finet, and Y. Torres Sampling theorem for fractional bandlimited signals a self-contained proof. application to digital holography IEEE Signal Process. Lett. 13 2006 676 679 (Pubitemid 44593661)
    • (2006) IEEE Signal Processing Letters , vol.13 , Issue.11 , pp. 676-679
    • Torres, R.1    Pellat-Finet, P.2    Torres, Y.3
  • 17
    • 77954564062 scopus 로고    scopus 로고
    • Sampling of bandlimited signals in fractional Fourier transform domain
    • Q.W. Ran, H. Zhao, L.Y. Tan, and J. Ma Sampling of bandlimited signals in fractional Fourier transform domain Circuits syst. Signal Proces. 29 2010 459 467
    • (2010) Circuits Syst. Signal Proces. , vol.29 , pp. 459-467
    • Ran, Q.W.1    Zhao, H.2    Tan, L.Y.3    Ma, J.4
  • 18
    • 77952173338 scopus 로고    scopus 로고
    • Generalized sampling expansion for band-limited signals associated with the fractional Fourier transform
    • D.Y. Wei, Q.W. Ran, and Y.M. Li Generalized sampling expansion for band-limited signals associated with the fractional Fourier transform IEEE Signal Process. Lett. 17 2010 595 598
    • (2010) IEEE Signal Process. Lett. , vol.17 , pp. 595-598
    • Wei, D.Y.1    Ran, Q.W.2    Li, Y.M.3
  • 19
    • 84911837213 scopus 로고
    • Communication in the presence of noise
    • C.E. Shannon Communication in the presence of noise Proc. IRE 37 1949 10 21
    • (1949) Proc. IRE , vol.37 , pp. 10-21
    • Shannon, C.E.1
  • 20
    • 0009624216 scopus 로고
    • A note on the sampling principle for continuous signals
    • A.V. Balakrishnan A note on the sampling principle for continuous signals IRE Trans. Inform. Theory IT-3 1957 143 146
    • (1957) IRE Trans. Inform. Theory , vol.3 IT- , pp. 143-146
    • Balakrishnan, A.V.1
  • 21
    • 0033339817 scopus 로고    scopus 로고
    • Fractional Fourier series expansion for finite signals and dual extension to discrete time fractional Fourier transform
    • S.C. Pei, M.H. Yeh, and T.L. Luo Fractional Fourier series expansion for finite signals and dual extension to discrete time fractional Fourier transform IEEE Trans. Signal Process. 47 1999 2883 2888
    • (1999) IEEE Trans. Signal Process. , vol.47 , pp. 2883-2888
    • Pei, S.C.1    Yeh, M.H.2    Luo, T.L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.