메뉴 건너뛰기




Volumn 17, Issue 3, 2010, Pages 221-224

Sampling and reconstruction of sparse signals in fractional fourier domain

Author keywords

Finite rate of innovation; Fractional Fourier transform (FrFT); Nonbandlimited signals; Shannon; Sparse sampling; Stream of diracs

Indexed keywords

FINITE-RATE-OF-INNOVATION; FRACTIONAL FOURIER TRANSFORMS; NONBANDLIMITED SIGNALS; SHANNON; SPARSE SAMPLING; STREAM OF DIRACS;

EID: 77952196845     PISSN: 10709908     EISSN: None     Source Type: Journal    
DOI: 10.1109/LSP.2009.2035242     Document Type: Article
Times cited : (61)

References (20)
  • 1
    • 84911837213 scopus 로고
    • Communications in the presence of noise
    • Jan.
    • C. E. Shannon, "Communications in the presence of noise," Proc. IRE, vol. 37, pp. 10-21, Jan. 1949.
    • (1949) Proc. IRE , vol.37 , pp. 10-21
    • Shannon, C.E.1
  • 2
    • 0017558676 scopus 로고
    • The Shannon sampling theorem-its various extensions and applications: A tutorial review
    • Nov.
    • A. Jerri, "The Shannon sampling theorem-its various extensions and applications: A tutorial review," Proc. IEEE, vol. 65, no. 11, pp. 1565-1596, Nov. 1977.
    • (1977) Proc. IEEE , vol.65 , Issue.11 , pp. 1565-1596
    • Jerri, A.1
  • 3
    • 0034171723 scopus 로고    scopus 로고
    • Sampling-50 years after Shannon
    • M. Unser, "Sampling-50 years after Shannon," Proc. IEEE, vol. 88, no. 4, pp. 569-587, 2000.
    • (2000) Proc. IEEE , vol.88 , Issue.4 , pp. 569-587
    • Unser, M.1
  • 4
    • 0028546458 scopus 로고
    • The fractional Fourier transform and time-frequency representations
    • Nov.
    • L. B. Almeida, "The fractional Fourier transform and time-frequency representations," IEEE Trans. Signal Process., vol. 42, no. 11, pp. 3084-3091, Nov. 1994.
    • (1994) IEEE Trans. Signal Process. , vol.42 , Issue.11 , pp. 3084-3091
    • Almeida, L.B.1
  • 5
    • 0030107597 scopus 로고    scopus 로고
    • On bandlimited signals with fractional Fourier transform
    • Mar.
    • X. G. Xia, "On bandlimited signals with fractional Fourier transform," IEEE Signal Process. Lett., vol. 3, no. 3, pp. 72-74, Mar. 1996.
    • (1996) IEEE Signal Process. Lett. , vol.3 , Issue.3 , pp. 72-74
    • Xia, X.G.1
  • 6
    • 0030413251 scopus 로고    scopus 로고
    • On the relationship between the Fourier and fractional Fourier transforms
    • Dec.
    • A. I. Zayed, "On the relationship between the Fourier and fractional Fourier transforms," IEEE Signal Process. Lett., vol. 3, no. 12, pp. 310-311, Dec. 1996.
    • (1996) IEEE Signal Process. Lett. , vol.3 , Issue.12 , pp. 310-311
    • Zayed, A.I.1
  • 7
    • 0033345657 scopus 로고    scopus 로고
    • Unified fractional Fourier transform and sampling theorem
    • Dec.
    • T. Erseghe, P. Kraniauskas, and G. Carioraro, "Unified fractional Fourier transform and sampling theorem," IEEE Trans. Signal Process., vol. 47, no. 12, pp. 3419-3423, Dec. 1999.
    • (1999) IEEE Trans. Signal Process. , vol.47 , Issue.12 , pp. 3419-3423
    • Erseghe, T.1    Kraniauskas, P.2    Carioraro, G.3
  • 8
    • 0033177623 scopus 로고    scopus 로고
    • New sampling formulae for the fractional Fourier transform
    • A. I. Zayed and A. G. García, "New sampling formulae for the fractional Fourier transform," Signal Process., vol. 77, no. 1, pp. 111-114, 1999.
    • (1999) Signal Process. , vol.77 , Issue.1 , pp. 111-114
    • Zayed, A.I.1    García, A.G.2
  • 9
    • 0034268765 scopus 로고    scopus 로고
    • Orthogonal sampling formulas: A unified approach
    • A. G. Garcia, "Orthogonal sampling formulas: A unified approach," SIAM Rev., vol. 42, no. 3, pp. 499-512, 2000.
    • (2000) SIAM Rev. , vol.42 , Issue.3 , pp. 499-512
    • Garcia, A.G.1
  • 10
    • 0141892675 scopus 로고    scopus 로고
    • Sampling and series expansion theorems for fractional Fourier and other transforms
    • Ç. Candan and H. M. Ozaktas, "Sampling and series expansion theorems for fractional Fourier and other transforms," Signal Process., vol. 83, no. 11, pp. 2455-2457, 2003.
    • (2003) Signal Process. , vol.83 , Issue.11 , pp. 2455-2457
    • Candan, Ç.1    Ozaktas, H.M.2
  • 11
    • 33750119845 scopus 로고    scopus 로고
    • Sampling theorem for fractional bandlimited signals: A self-contained proof. Application to digital holography
    • Nov.
    • R. Torres, P.-F. Pellat, and Y. Torres, "Sampling theorem for fractional bandlimited signals: A self-contained proof. Application to digital holography," IEEE Signal Process. Lett., vol. 13, no. 11, pp. 676-679, Nov. 2006.
    • (2006) IEEE Signal Process. Lett. , vol.13 , Issue.11 , pp. 676-679
    • Torres, R.1    Pellat, P.-F.2    Torres, Y.3
  • 12
    • 37748999882 scopus 로고    scopus 로고
    • Sampling and sampling rate conversion of band-limited signals in the fractional Fourier transform domain
    • Jan.
    • R. Tao, B. Deng, Z.-Q. Wei, and Y. Wang, "Sampling and sampling rate conversion of band-limited signals in the fractional Fourier transform domain," IEEE Trans. Signal Process., vol. 56, no. 1, pp. 158-171, Jan. 2008.
    • (2008) IEEE Trans. Signal Process. , vol.56 , Issue.1 , pp. 158-171
    • Tao, R.1    Deng, B.2    Wei, Z.-Q.3    Wang, Y.4
  • 14
    • 0032187564 scopus 로고    scopus 로고
    • Method for defining a class of fractional operations
    • Oct.
    • P. Kraniauskas, G. Cariolaro, and T. Erseghe, "Method for defining a class of fractional operations," IEEE Trans. Signal Process., vol. 46, no. 10, pp. 2804-2807, Oct. 1998.
    • (1998) IEEE Trans. Signal Process. , vol.46 , Issue.10 , pp. 2804-2807
    • Kraniauskas, P.1    Cariolaro, G.2    Erseghe, T.3
  • 15
    • 0036612082 scopus 로고    scopus 로고
    • Sampling signals with finite rate of innovation
    • Jun.
    • M. Vetterli, P. Marziliano, and T. Blu, "Sampling signals with finite rate of innovation," IEEE Trans. Signal Process., vol. 50, no. 6, pp. 1417-1428, Jun. 2002.
    • (2002) IEEE Trans. Signal Process. , vol.50 , Issue.6 , pp. 1417-1428
    • Vetterli, M.1    Marziliano, P.2    Blu, T.3
  • 17
    • 67650143885 scopus 로고    scopus 로고
    • Measurement and reconstruction of impulse train by parallel exponential filters
    • H. Olkkonen and J. Olkkonen, "Measurement and reconstruction of impulse train by parallel exponential filters," IEEE Signal Process. Lett., vol. 15, pp. 241-244, 2008.
    • (2008) IEEE Signal Process. Lett. , vol.15 , pp. 241-244
    • Olkkonen, H.1    Olkkonen, J.2
  • 18
    • 67650139110 scopus 로고    scopus 로고
    • A generalized sampling method for finite-rate-of-innovation-signal reconstruction
    • C. Seelamantula and M. Unser, "A generalized sampling method for finite-rate-of-innovation-signal reconstruction," IEEE Signal Process. Lett., vol. 15, pp. 813-816, 2008.
    • (2008) IEEE Signal Process. Lett. , vol.15 , pp. 813-816
    • Seelamantula, C.1    Unser, M.2
  • 19
    • 0035503193 scopus 로고    scopus 로고
    • An uncertainty principle for real signals in the fractional Fourier transform domain
    • Nov.
    • S. Shinde and V. M. Gadre, "An uncertainty principle for real signals in the fractional Fourier transform domain," IEEE Trans. Signal Process., vol. 49, no. 11, pp. 2545-2548, Nov. 2001.
    • (2001) IEEE Trans. Signal Process , vol.49 , Issue.11 , pp. 2545-2548
    • Shinde, S.1    Gadre, V.M.2
  • 20
    • 0033339817 scopus 로고    scopus 로고
    • Fractional Fourier series expansion for finite signals and dual extension to discrete-time fractional Fourier transform
    • Oct.
    • 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., vol. 47, no. 10, pp. 2883-2888, Oct. 1999.
    • (1999) IEEE Trans. Signal Process. , vol.47 , Issue.10 , pp. 2883-2888
    • Pei, S.-C.1    Yeh, M.-H.2    Luo, T.-L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.