메뉴 건너뛰기




Volumn 53, Issue 11, 2010, Pages 2287-2299

The discrete multiple-parameter fractional Fourier transform

Author keywords

Fractional Fourier transform; Image encryption; Information security; Multiple parameter fractional Fourier transform

Indexed keywords


EID: 84855582363     PISSN: 1674733X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11432-010-4095-5     Document Type: Article
Times cited : (28)

References (18)
  • 1
    • 77958407025 scopus 로고
    • The fractional Fourier transform and its application to quantum mechanics
    • Namias V. The fractional Fourier transform and its application to quantum mechanics. J Inst Math Appl, 1980, 25: 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
    • Almeida L B. The fractional Fourier transform and time-frequency representations. IEEE Trans Signal Process, 1994, 42: 3084-3091
    • (1994) IEEE Trans Signal Process , vol.42 , pp. 3084-3091
    • Almeida, L.B.1
  • 3
    • 0029358647 scopus 로고
    • Fractionalization of Fourier transform
    • Shih C. Fractionalization of Fourier transform. Opt Comm, 1995, 48: 495-498
    • (1995) Opt Comm , vol.48 , pp. 495-498
    • Shih, C.1
  • 4
    • 49249083190 scopus 로고    scopus 로고
    • MIMO-OFDM system based on fractional Fourier transform and selecting algorithm for optimal order
    • Yang Q, Tao R, Wang Y. MIMO-OFDM system based on fractional Fourier transform and selecting algorithm for optimal order. Sci China Ser F-Inf Sci, 2008, 51: 1360-1371
    • (2008) Sci China Ser F-Inf Sci , vol.51 , pp. 1360-1371
    • Yang, Q.1    Tao, R.2    Wang, Y.3
  • 6
    • 0001182141 scopus 로고    scopus 로고
    • Optical encryption by double-random phase encoding in the fractional Fourier domain
    • Unnikrishnan G, Joseph J, Singh K. Optical encryption by double-random phase encoding in the fractional Fourier domain. Opt Lett, 2000, 25: 887-889
    • (2000) Opt Lett , vol.25 , pp. 887-889
    • Unnikrishnan, G.1    Joseph, J.2    Singh, K.3
  • 7
    • 0001248217 scopus 로고    scopus 로고
    • Optical image encryption based on multifractional Fourier transforms
    • Zhu B, Liu S, Ran Q. Optical image encryption based on multifractional Fourier transforms. Opt Lett, 2000, 25: 1159-1161
    • (2000) Opt Lett , vol.25 , pp. 1159-1161
    • Zhu, B.1    Liu, S.2    Ran, Q.3
  • 8
    • 0037443119 scopus 로고    scopus 로고
    • Optical image encryption by random shifting in fractional Fourier domains
    • Hennelly B, Sheridan J. Optical image encryption by random shifting in fractional Fourier domains. Opt Lett, 2003, 28: 269-271
    • (2003) Opt Lett , vol.28 , pp. 269-271
    • Hennelly, B.1    Sheridan, J.2
  • 9
    • 60749099337 scopus 로고    scopus 로고
    • The multiple-parameter discrete fractional Hadamard transform
    • Tao R, Lang J, Wang Y. The multiple-parameter discrete fractional Hadamard transform. Opt Comm, 2009, 282: 1531-1535
    • (2009) Opt Comm , vol.282 , pp. 1531-1535
    • Tao, R.1    Lang, J.2    Wang, Y.3
  • 10
    • 41549106256 scopus 로고    scopus 로고
    • Optical image encryption based on the multiple-parameter fractional Fourier transform
    • Tao R, Lang J, Wang Y. Optical image encryption based on the multiple-parameter fractional Fourier transform. Opt Lett, 2008, 33: 581-583
    • (2008) Opt Lett , vol.33 , pp. 581-583
    • Tao, R.1    Lang, J.2    Wang, Y.3
  • 11
    • 77749251956 scopus 로고    scopus 로고
    • Image encryption based on the multiple-parameter discrete fractional Fourier transform and chaos function
    • Lang J, Tao R, Wang Y. Image encryption based on the multiple-parameter discrete fractional Fourier transform and chaos function. Opt Comm, 2010, 283: 2092-2096
    • (2010) Opt Comm , vol.283 , pp. 2092-2096
    • Lang, J.1    Tao, R.2    Wang, Y.3
  • 12
    • 44949262218 scopus 로고    scopus 로고
    • Research progress on discretization of fractional Fourier transform
    • Tao R, Zhang F, Wang Y. Research progress on discretization of fractional Fourier transform. Sci China Ser F-Inf Sci, 2008, 51: 859-880
    • (2008) Sci China Ser F-Inf Sci , vol.51 , pp. 859-880
    • Tao, R.1    Zhang, F.2    Wang, Y.3
  • 14
    • 0033881889 scopus 로고    scopus 로고
    • Multiplicity of fractional Fourier transforms and their relationships
    • Cariolaro G, Erseghe T, Kraniauskas P, et al. Multiplicity of fractional Fourier transforms and their relationships. IEEE Trans Signal Process, 2000, 48: 227-241
    • (2000) IEEE Trans Signal Process , vol.48 , pp. 227-241
    • Cariolaro, G.1    Erseghe, T.2    Kraniauskas, P.3
  • 15
    • 46749124600 scopus 로고    scopus 로고
    • The multiple-parameter fractional Fourier transform
    • Lang J, Tao R, Wang Y, et al. The multiple-parameter fractional Fourier transform. Sci China Ser F-Inf Sci, 2008, 51: 1010-1024
    • (2008) Sci China Ser F-Inf Sci , vol.51 , pp. 1010-1024
    • Lang, J.1    Tao, R.2    Wang, Y.3
  • 16
    • 39049169223 scopus 로고    scopus 로고
    • Orthogonal projections and discrete fractional Fourier transforms
    • In:, Teton National Park, Wyoming
    • Ozaydin M, Nemati S, Yeary M, et al. Orthogonal projections and discrete fractional Fourier transforms. In: IEEE 12th-Signal Processing Education Workshop, Teton National Park, Wyoming, 2006. 429-433
    • (2006) IEEE 12th-Signal Processing Education Workshop , pp. 429-433
    • Ozaydin, M.1    Nemati, S.2    Yeary, M.3
  • 18
    • 0030243105 scopus 로고    scopus 로고
    • Digital computation of the fractional Fourier transform
    • Ozaktas H M, Arikan O, Kutay M A, et al. Digital computation of the fractional Fourier transform. IEEE Trans Signal Process, 1996, 44: 2141-2150
    • (1996) IEEE Trans Signal Process , vol.44 , pp. 2141-2150
    • Ozaktas, H.M.1    Arikan, O.2    Kutay, M.A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.