메뉴 건너뛰기




Volumn 56, Issue 7 I, 2008, Pages 2728-2745

Nonuniform sampling of periodic bandlimited signals

Author keywords

Interpolation; Nonuniform sampling; Periodic signals; Reconstruction; Recurrent nonuniform sampling; Stability; Uniform sampling

Indexed keywords

CONTINUOUS TIME SYSTEMS; DIMENSIONAL STABILITY; FUNCTION EVALUATION; OPTICAL BISTABILITY; REPAIR; SYSTEM STABILITY;

EID: 46749136514     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2008.917416     Document Type: Article
Times cited : (74)

References (39)
  • 1
    • 0347432129 scopus 로고
    • Mémoire sur diverses formules d'analyse
    • A. Cauchy, "Mémoire sur diverses formules d'analyse," C. R. Acad. Sci., Vol. 12, pp. 283-298, 1841.
    • (1841) C. R. Acad. Sci , vol.12 , pp. 283-298
    • Cauchy, A.1
  • 2
    • 84911837213 scopus 로고
    • Communication in the presence of noise
    • Jan
    • C. E. Shannon, "Communication 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
  • 3
    • 0020765932 scopus 로고
    • Restoring lost samples from an oversampled bandlimited signal
    • Jun
    • R. J. Marks, II, "Restoring lost samples from an oversampled bandlimited signal," IEEE Trans. Acoust., Speech, Signal Process. Vol. ASSP-31, no. 3, pp. 752-755, Jun. 1983.
    • (1983) IEEE Trans. Acoust., Speech, Signal Process , vol.ASSP-31 , Issue.3 , pp. 752-755
    • Marks II, R.J.1
  • 4
    • 0028547856 scopus 로고
    • The stability of a procedure for the recovery of lost samples in band-limited signals
    • Dec
    • P. J. S. G. Ferreira, "The stability of a procedure for the recovery of lost samples in band-limited signals," Signal Process., Vol. 40, no. 3, pp. 195-205, Dec. 1994.
    • (1994) Signal Process , vol.40 , Issue.3 , pp. 195-205
    • Ferreira, P.J.S.G.1
  • 5
    • 13544266127 scopus 로고
    • Polar, spiral and generalized sampling and interpolation
    • R. J. Marks, II, Ed. New York: Springer-Verlag
    • H. Stark, "Polar, spiral and generalized sampling and interpolation," in Advanced Topics in Shannon Sampling and Interpolation Theory, R. J. Marks, II, Ed. New York: Springer-Verlag, 1993, pp. 185-218.
    • (1993) Advanced Topics in Shannon Sampling and Interpolation Theory , pp. 185-218
    • Stark, H.1
  • 6
  • 7
    • 0000258601 scopus 로고
    • On some stability and interpolatory properties of nonuniform sampling expansions
    • Dec
    • K. Yao and J. B. Thomas, "On some stability and interpolatory properties of nonuniform sampling expansions," IEEE Trans. Circuit Theory, Vol. CT-14, no. 4, pp. 404-408, Dec. 1967.
    • (1967) IEEE Trans. Circuit Theory , vol.CT-14 , Issue.4 , pp. 404-408
    • Yao, K.1    Thomas, J.B.2
  • 8
    • 84928114166 scopus 로고
    • On nonuniform sampling of bandwidth-limited signals
    • Dec
    • J. L. Yen, "On nonuniform sampling of bandwidth-limited signals," IEEE Trans. Circuit Theory, Vol. CT-3, no. 4, pp. 251-257, Dec. 1956.
    • (1956) IEEE Trans. Circuit Theory , vol.CT-3 , Issue.4 , pp. 251-257
    • Yen, J.L.1
  • 9
    • 0017558676 scopus 로고
    • The Shannon sampling theorem-Its various extensions and applications: A tutorial review
    • Nov
    • A. J. 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.J.1
  • 10
    • 0034298489 scopus 로고    scopus 로고
    • Filterbank reconstruction of bandlimited signals from nonuniform and generalized samples
    • Oct
    • Y. C. Eldar and A. V. Oppenheim, "Filterbank reconstruction of bandlimited signals from nonuniform and generalized samples," IEEE Trans. Signal Process., Vol. 48, no. 10, pp. 2864-2875, Oct. 2000.
    • (2000) IEEE Trans. Signal Process , vol.48 , Issue.10 , pp. 2864-2875
    • Eldar, Y.C.1    Oppenheim, A.V.2
  • 11
    • 4344611717 scopus 로고    scopus 로고
    • Reconstruction of band-limited periodic nonuniformly sampled signals through multirate filter banks
    • Aug
    • R. S. Prendergast, B. C. Levy, and P. J. Hurst, "Reconstruction of band-limited periodic nonuniformly sampled signals through multirate filter banks," IEEE Trans. Circuits Syst. I, Vol. 51, no. 8, pp. 1612-1622, Aug. 2004.
    • (2004) IEEE Trans. Circuits Syst. I , vol.51 , Issue.8 , pp. 1612-1622
    • Prendergast, R.S.1    Levy, B.C.2    Hurst, P.J.3
  • 12
    • 34247257156 scopus 로고    scopus 로고
    • Least-squares and minimax design of polynomial impulse response FIR filters for reconstruction of two-periodic nonuniformly sampled signals
    • Apr
    • H. Johansson, P. Löwenborg, and K. Vengattaramane, "Least-squares and minimax design of polynomial impulse response FIR filters for reconstruction of two-periodic nonuniformly sampled signals," IEEE Trans. Circuits Syst. I, Vol. 54, no. 4, pp. 877-888, Apr. 2007.
    • (2007) IEEE Trans. Circuits Syst. I , vol.54 , Issue.4 , pp. 877-888
    • Johansson, H.1    Löwenborg, P.2    Vengattaramane, K.3
  • 13
    • 0031123616 scopus 로고    scopus 로고
    • Computationally attractive reconstruction of bandlimited images from irregular samples
    • Apr
    • T. Strohmer, "Computationally attractive reconstruction of bandlimited images from irregular samples," IEEE Trans. Image Process., Vol. 6, no. 4, pp. 540-548, Apr. 1997.
    • (1997) IEEE Trans. Image Process , vol.6 , Issue.4 , pp. 540-548
    • Strohmer, T.1
  • 14
    • 17444367235 scopus 로고    scopus 로고
    • Filterbank reconstruction of periodic signals and sampling in polar coordinates
    • presented at the, Austria, May
    • E. Margolis and Y. C. Eldar, "Filterbank reconstruction of periodic signals and sampling in polar coordinates," presented at the Workshop on Sampling Theory and Applications, Strob1, Austria, May 2003.
    • (2003) Workshop on Sampling Theory and Applications, Strob1
    • Margolis, E.1    Eldar, Y.C.2
  • 15
    • 0026137714 scopus 로고
    • Revovery of signals from nonuniform samples using iterative methods
    • Apr
    • F. Marvasti, M. Analoui, and M. Gamshadzahi, "Revovery of signals from nonuniform samples using iterative methods," IEEE Trans. Signal Process., Vol. 39, no. 4, pp. 872-878, Apr. 1991.
    • (1991) IEEE Trans. Signal Process , vol.39 , Issue.4 , pp. 872-878
    • Marvasti, F.1    Analoui, M.2    Gamshadzahi, M.3
  • 16
    • 21844510105 scopus 로고
    • Efficient numerical methods in nonuniform sampling theory
    • G. H. Feichtinger, K. Gröchenig, and T. Strohmer, "Efficient numerical methods in nonuniform sampling theory," Numer. Math., Vol. 69, pp. 423-440, 1995.
    • (1995) Numer. Math , vol.69 , pp. 423-440
    • Feichtinger, G.H.1    Gröchenig, K.2    Strohmer, T.3
  • 17
    • 33847608773 scopus 로고    scopus 로고
    • Block-based methods for the reconstruction of finite-length signals from nonuniform samples
    • Jan
    • T. E. Tuncer, "Block-based methods for the reconstruction of finite-length signals from nonuniform samples," IEEE Trans. Signal Process., Vol. 55, no. 1, pp. 530-541, Jan. 2007.
    • (2007) IEEE Trans. Signal Process , vol.55 , Issue.1 , pp. 530-541
    • Tuncer, T.E.1
  • 18
    • 84953751498 scopus 로고
    • 2nd ed. Cambridge, U.K, Cambridge Univ. Press
    • A. Zygmund, Trigonometric Series, 2nd ed. Cambridge, U.K.: Cambridge Univ. Press, 1959.
    • (1959) Trigonometric Series
    • Zygmund, A.1
  • 19
    • 0021515785 scopus 로고
    • Cauchy and polar-sampling theorems
    • Oct
    • J. L. Brown Jr., "Cauchy and polar-sampling theorems," J. Opt. Soc. Am. A, Vol. 1, pp. 1054-1056, Oct. 1984.
    • (1984) J. Opt. Soc. Am. A , vol.1 , pp. 1054-1056
    • Brown Jr., J.L.1
  • 21
    • 0028516230 scopus 로고
    • Interpolation and the discrete Papoulis-Gerchberg algorithm
    • Oct
    • P. J. S. G. Ferreira, "Interpolation and the discrete Papoulis-Gerchberg algorithm," IEEE Trans. Signal Process., Vol. 42, no. 10, pp. 2596-2606, Oct. 1994.
    • (1994) IEEE Trans. Signal Process , vol.42 , Issue.10 , pp. 2596-2606
    • Ferreira, P.J.S.G.1
  • 22
    • 0025521840 scopus 로고
    • Efficient reconstruction of band-limited sequences from nonuniformly decimated versions by use of polyphase filter banks
    • Nov
    • P. P. Vaidyanathan and V. C. Liu, "Efficient reconstruction of band-limited sequences from nonuniformly decimated versions by use of polyphase filter banks," IEEE Trans. Acoust., Speech, Signal Process., Vol. 38, no. 11, pp. 1927-1936, Nov. 1990.
    • (1990) IEEE Trans. Acoust., Speech, Signal Process , vol.38 , Issue.11 , pp. 1927-1936
    • Vaidyanathan, P.P.1    Liu, V.C.2
  • 23
    • 84968468760 scopus 로고
    • A class of nonharmonic Fourier series
    • R. J. Duffin and A. C. Schaeffer, "A class of nonharmonic Fourier series," Trans. Amer. Math. Soc., vol. 72, pp. 341-366, 1952.
    • (1952) Trans. Amer. Math. Soc , vol.72 , pp. 341-366
    • Duffin, R.J.1    Schaeffer, A.C.2
  • 25
    • 33646788242 scopus 로고    scopus 로고
    • Sampling without input constraints: Consistent reconstruction in arbitrary spaces
    • A. Zayed and J. J. Benedetto, Eds. Cambridge, MA: Birkhäuser
    • Y. C. Eldar, "Sampling without input constraints: Consistent reconstruction in arbitrary spaces," in Sampling, Wavelets and Tomography, A. Zayed and J. J. Benedetto, Eds. Cambridge, MA: Birkhäuser, 2003.
    • (2003) Sampling, Wavelets and Tomography
    • Eldar, Y.C.1
  • 26
    • 33747638063 scopus 로고    scopus 로고
    • Generalized sampling: Stability and performance analysis
    • Dec
    • M. Unser and J. Zerubia, "Generalized sampling: Stability and performance analysis," IEEE Trans. Signal Process., vol. 45, no. 12, pp. 2941-2950, Dec. 1997.
    • (1997) IEEE Trans. Signal Process , vol.45 , Issue.12 , pp. 2941-2950
    • Unser, M.1    Zerubia, J.2
  • 27
    • 0018545218 scopus 로고
    • Sampling theorems in polar coordinates
    • Nov
    • H. Stark, "Sampling theorems in polar coordinates," J. Opt. Soc. Amer., vol. 69, pp. 1519-1525, Nov. 1979.
    • (1979) J. Opt. Soc. Amer , vol.69 , pp. 1519-1525
    • Stark, H.1
  • 28
    • 0020831047 scopus 로고
    • Comments and corrections on the use of sampling theorems in CT
    • Oct
    • H. Stark and M. Wengrovitz, "Comments and corrections on the use of sampling theorems in CT," IEEE Trans. Acoust., Speech, Signal Process., vol. ASSP-31, no. 5, pp. 1329-1331, Oct. 1983.
    • (1983) IEEE Trans. Acoust., Speech, Signal Process , vol.ASSP-31 , Issue.5 , pp. 1329-1331
    • Stark, H.1    Wengrovitz, M.2
  • 29
    • 0029323412 scopus 로고
    • Sinc interpolation of discret periodic signals
    • Jun
    • T. Schanze, "Sinc interpolation of discret periodic signals," IEEE Trans. Signal Process., vol. 43, no. 6, pp. 1502-1503, Jun. 1995.
    • (1995) IEEE Trans. Signal Process , vol.43 , Issue.6 , pp. 1502-1503
    • Schanze, T.1
  • 30
    • 0021892208 scopus 로고
    • An RKHS analysis of sampling theorems for barmonic-limited signals
    • Apr
    • J. L. Brown Jr., "An RKHS analysis of sampling theorems for barmonic-limited signals," IEEE Trans. Acoust., Speech, Signal Process., vol. ASSP-33, no. 2, pp. 437-440, Apr. 1985.
    • (1985) IEEE Trans. Acoust., Speech, Signal Process , vol.ASSP-33 , Issue.2 , pp. 437-440
    • Brown Jr., J.L.1
  • 31
    • 46749149104 scopus 로고    scopus 로고
    • E. Margolis, Reconstruction of periodic bandlimited signals from nonuniform samples, M.S. degree, Technion-Israel Inst. Technol., Haifa, Israel, 2004.
    • E. Margolis, "Reconstruction of periodic bandlimited signals from nonuniform samples," M.S. degree, Technion-Israel Inst. Technol., Haifa, Israel, 2004.
  • 33
    • 0025519836 scopus 로고
    • Quantization noise spectra
    • Jan
    • R. M. Gray, "Quantization noise spectra," IEEE Trans. Inf. Theory vol. 36, no. 1, pp. 1220-1240, Jan. 1990.
    • (1990) IEEE Trans. Inf. Theory , vol.36 , Issue.1 , pp. 1220-1240
    • Gray, R.M.1
  • 35
    • 0037230392 scopus 로고    scopus 로고
    • Sampling with arbitrary sampling and reconstruction spaces and oblique dual frame vectors
    • Jan
    • Y. C. Eldar, "Sampling with arbitrary sampling and reconstruction spaces and oblique dual frame vectors," J. Fourier Anal. Appl., vol. 9, no. 1, pp. 77-96, Jan. 2003.
    • (2003) J. Fourier Anal. Appl , vol.9 , Issue.1 , pp. 77-96
    • Eldar, Y.C.1
  • 36
    • 0004117648 scopus 로고    scopus 로고
    • Tech. Rep. Standford, CA, Dept. Elect. Eng, Inf. Syst. Lab, Stanford Univ
    • R. M. Gray, "Toeplitz and circulant matrices: A review," Tech. Rep. Standford, CA, 2002, Dept. Elect. Eng., Inf. Syst. Lab., Stanford Univ.
    • (2002) Toeplitz and circulant matrices: A review
    • Gray, R.M.1
  • 37
    • 46749097066 scopus 로고    scopus 로고
    • Mean-squared error estimation for linear systems with block circulant uncertainty
    • Jun
    • A. Beck, Y. C. Eldar, and A. Ben-Tal, "Mean-squared error estimation for linear systems with block circulant uncertainty," SIAM J. Matrix Anal. Appl., vol. 29, no. 3, pp. 712-730, Jun. 2007.
    • (2007) SIAM J. Matrix Anal. Appl , vol.29 , Issue.3 , pp. 712-730
    • Beck, A.1    Eldar, Y.C.2    Ben-Tal, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.