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Volumn 45, Issue 5, 1999, Pages 1555-1564

Minimum rate sampling and reconstruction of signals with arbitrary frequency support

Author keywords

[No Author keywords available]

Indexed keywords

BANDWIDTH; DIGITAL COMMUNICATION SYSTEMS; FREQUENCIES; SIGNAL FILTERING AND PREDICTION; SIGNAL THEORY;

EID: 0032636501     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.771158     Document Type: Article
Times cited : (117)

References (40)
  • 1
    • 84911837213 scopus 로고
    • Communications in the presence of noise
    • C. E. Shannon, "Communications in the presence of noise," Proc. IRE, vol. 37, pp. 10-21, 1949.
    • (1949) Proc. IRE , vol.37 , pp. 10-21
    • Shannon, C.E.1
  • 2
    • 0001693842 scopus 로고
    • On the functions which are represented by the expansion of interpolating theory
    • E. T. Whittaker, "On the functions which are represented by the expansion of interpolating theory," Proc. Roy. Soc. Edinburgh, vol. 35, pp. 181-194, 1915.
    • (1915) Proc. Roy. Soc. Edinburgh , vol.35 , pp. 181-194
    • Whittaker, E.T.1
  • 4
    • 0344201096 scopus 로고
    • On the transmission capacity of 'ether' and wire in electrocommunications
    • V. A. Kotel'nikov, "On the transmission capacity of 'ether' and wire in electrocommunications," Izd. Red. Upr. Svyazi RKKA, 1933.
    • (1933) Izd. Red. Upr. Svyazi RKKA
    • Kotel'nikov, V.A.1
  • 5
    • 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, pp. 1565-1596, Nov. 1977.
    • (1977) Proc. IEEE , vol.65 , pp. 1565-1596
    • Jerri, A.J.1
  • 7
    • 0024018237 scopus 로고
    • Digital spectra of nonuniformly sampled signals: Fundamentals and high-speed waveform digitizers
    • Y.-C. Jenq, "Digital spectra of nonuniformly sampled signals: Fundamentals and high-speed waveform digitizers," IEEE Trans. Instrum. Meas., vol. 37, no. 2, pp. 245-251, 1988.
    • (1988) IEEE Trans. Instrum. Meas. , vol.37 , Issue.2 , pp. 245-251
    • Jenq, Y.-C.1
  • 8
    • 33749710941 scopus 로고
    • On the synthesis of line sources and infinite strip sources
    • J. L. Yen, "On the synthesis of line sources and infinite strip sources," IRE Trans. Antennas Propagat., vol. AP-5, 1957.
    • (1957) IRE Trans. Antennas Propagat. , vol.AP-5
    • Yen, J.L.1
  • 9
    • 0022052153 scopus 로고
    • The sampling and reconstrucion of time-varying imagery with application in video systems
    • Apr.
    • E. Dubois, "The sampling and reconstrucion of time-varying imagery with application in video systems," Proc. IEEE, vol. 73, pp. 502-522, Apr. 1985.
    • (1985) Proc. IEEE , vol.73 , pp. 502-522
    • Dubois, E.1
  • 10
    • 0023327097 scopus 로고
    • Some gap sampling series for multiband signals
    • Dec.
    • J. R. Higgins, "Some gap sampling series for multiband signals," Signal Processing, vol. 12, pp. 313-319, Dec. 1987.
    • (1987) Signal Processing , vol.12 , pp. 313-319
    • Higgins, J.R.1
  • 11
    • 36849136620 scopus 로고
    • Exact interpolation of band-limited functions
    • Dec
    • A. Kohlenberg, "Exact interpolation of band-limited functions," J. Appl. Phys., vol. 24, pp. 1432-1435, Dec 1953.
    • (1953) J. Appl. Phys. , vol.24 , pp. 1432-1435
    • Kohlenberg, A.1
  • 12
    • 0003234333 scopus 로고
    • Sampling representations and the optimum reconstruction of signals
    • R. E. Kahn and B. Liu, "Sampling representations and the optimum reconstruction of signals," IEEE Trans. Inform. Theory, vol. IT-11, pp. 339-347, 1965.
    • (1965) IEEE Trans. Inform. Theory , vol.IT-11 , pp. 339-347
    • Kahn, R.E.1    Liu, B.2
  • 13
    • 84928114166 scopus 로고
    • On nonuniform sampling of bandwidth-limited signals
    • J. L. Yen, "On nonuniform sampling of bandwidth-limited signals," IRE Trans. Circuit Theory, vol. CT-3, pp. 251-257, 1956.
    • (1956) IRE Trans. Circuit Theory , vol.CT-3 , pp. 251-257
    • Yen, J.L.1
  • 14
    • 0026909989 scopus 로고
    • Periodic nonuniform sampling of multiband signals
    • Aug.
    • S. C. Scoular and W. J. Fitzgerald, "Periodic nonuniform sampling of multiband signals," Signal Processing, vol. 28, pp. 195-200, Aug. 1992.
    • (1992) Signal Processing , vol.28 , pp. 195-200
    • Scoular, S.C.1    Fitzgerald, W.J.2
  • 15
    • 0028553201 scopus 로고
    • Nonuniform sampling of signals and applications
    • London, U.K., May
    • R. G. Shenoy, "Nonuniform sampling of signals and applications," in Proc. IEEE Int. Symp. Circuits and Systems (London, U.K., May 1994), vol. 2, pp. 181-184.
    • (1994) Proc. IEEE Int. Symp. Circuits and Systems , vol.2 , pp. 181-184
    • Shenoy, R.G.1
  • 16
    • 0003544238 scopus 로고
    • A generalization of the sampling theorem
    • D. A. Linden and N. M. Abramson, "A generalization of the sampling theorem," Inform. Contr., vol. 3, pp. 26-31, 1960.
    • (1960) Inform. Contr. , vol.3 , pp. 26-31
    • Linden, D.A.1    Abramson, N.M.2
  • 18
    • 0017554734 scopus 로고
    • Generalized sampling expansion
    • Nov.
    • _, "Generalized sampling expansion," IEEE Trans. Circuits Syst., vol. CAS-24, pp. 652-654, Nov. 1977.
    • (1977) IEEE Trans. Circuits Syst. , vol.CAS-24 , pp. 652-654
  • 19
    • 0019530054 scopus 로고
    • Multi-channel sampling of low-pass signals
    • Feb.
    • J. L. Brown, Jr., "Multi-channel sampling of low-pass signals," IEEE Trans. Circuits Syst., vol. CAS-28, pp. 101-106, Feb. 1981.
    • (1981) IEEE Trans. Circuits Syst. , vol.CAS-28 , pp. 101-106
    • Brown Jr., J.L.1
  • 23
    • 0000545512 scopus 로고
    • Error-free recovery of signals from irregularly spaced samples
    • F. J. Beutler, "Error-free recovery of signals from irregularly spaced samples," SIAM Rev., vol. 8, no. 3, pp. 328-335, 1966.
    • (1966) SIAM Rev. , vol.8 , Issue.3 , pp. 328-335
    • Beutler, F.J.1
  • 25
    • 84968509862 scopus 로고
    • Image sampling below the Nyquist density without aliasing
    • Jan.
    • K. F. Cheung and R. J. Marks II, "Image sampling below the Nyquist density without aliasing," J. Opt. Soc. Amer., vol. 7, pp. 92-105, Jan. 1990.
    • (1990) J. Opt. Soc. Amer. , vol.7 , pp. 92-105
    • Cheung, K.F.1    Marks II, R.J.2
  • 26
    • 0003952552 scopus 로고
    • A multidimensional extension of Papoulis' generalized sampling expansion with the application in minimum density sampling
    • R. J. Marks II, Berlin, Germany: Springer-Verlag
    • K. F. Cheung, "A multidimensional extension of Papoulis' generalized sampling expansion with the application in minimum density sampling," in R. J. Marks II, Advanced Topics in Shannon Sampling and Interpolation Theory. Berlin, Germany: Springer-Verlag, 1992.
    • (1992) Advanced Topics in Shannon Sampling and Interpolation Theory
    • Cheung, K.F.1
  • 27
    • 0030415923 scopus 로고    scopus 로고
    • Minimum rate sampling of signals with arbitrary frequency support
    • Lausanne, Switzerland, Sept.
    • C. Herley and P. W. Wong, "Minimum rate sampling of signals with arbitrary frequency support," in Proc. IEEE Int. Conf. Image Processing (Lausanne, Switzerland, Sept. 1996).
    • (1996) Proc. IEEE Int. Conf. Image Processing
    • Herley, C.1    Wong, P.W.2
  • 28
    • 0002884848 scopus 로고
    • Necessary density conditions for sampling and interpolation of certain entire functions
    • H. J. Landau, "Necessary density conditions for sampling and interpolation of certain entire functions," Acta. Math., vol. 117, pp. 37-52, 1967.
    • (1967) Acta. Math. , vol.117 , pp. 37-52
    • Landau, H.J.1
  • 29
    • 0030084486 scopus 로고    scopus 로고
    • Interpolation of lowpass signals at half the Nyquist rate
    • Feb.
    • F. Marvasti, "Interpolation of lowpass signals at half the Nyquist rate," IEEE Signal Processing Lett., vol. 3, pp. 42-43, Feb. 1996.
    • (1996) IEEE Signal Processing Lett. , vol.3 , pp. 42-43
    • Marvasti, F.1
  • 30
    • 0024681689 scopus 로고
    • An algorithm for optimal regular sampling
    • M. M. Dodson and A. M. Silva, "An algorithm for optimal regular sampling," Signal Processing, vol. 17, pp. 169-174, 1989.
    • (1989) Signal Processing , vol.17 , pp. 169-174
    • Dodson, M.M.1    Silva, A.M.2
  • 31
    • 0028996294 scopus 로고
    • Exact reconstruction from periodic nonuniform samples using multirate filter banks
    • Detroit, MI, May
    • B. Foster and C. Herley, "Exact reconstruction from periodic nonuniform samples using multirate filter banks," in Proc. IEEE Int. Conf. Acoustics Speech, and Signal Processing (Detroit, MI, May 1995), pp. 1452-1455.
    • (1995) Proc. IEEE Int. Conf. Acoustics Speech, and Signal Processing , pp. 1452-1455
    • Foster, B.1    Herley, C.2
  • 32
    • 0029327078 scopus 로고
    • Exact interpolation and iterative subdivision schemes
    • June
    • C. Herley, "Exact interpolation and iterative subdivision schemes," IEEE Trans. Signal Processing, vol. 43, pp. 1348-1359, June 1995.
    • (1995) IEEE Trans. Signal Processing , vol.43 , pp. 1348-1359
    • Herley, C.1
  • 33
    • 0026922952 scopus 로고
    • Wavelets and filter banks: Theory and design
    • Sept.
    • M. Vetterli and C. Herley, "Wavelets and filter banks: theory and design," IEEE Trans. Signal Processing, vol. 40, pp. 2207-2232, Sept. 1992.
    • (1992) IEEE Trans. Signal Processing , vol.40 , pp. 2207-2232
    • Vetterli, M.1    Herley, C.2
  • 34
    • 0031996573 scopus 로고    scopus 로고
    • Nonexpansive pyramid for image coding using a nonlinear filterbank
    • R. L. de Queiroz, D. A. F. Florencio, and R. W. Schafer, "Nonexpansive pyramid for image coding using a nonlinear filterbank," IEEE Trans. Image Processing, vol. 7, no. 2, pp. 246-252, 1998.
    • (1998) IEEE Trans. Image Processing , vol.7 , Issue.2 , pp. 246-252
    • De Queiroz, R.L.1    Florencio, D.A.F.2    Schafer, R.W.3
  • 35
    • 0001263852 scopus 로고
    • Finding the common point of convex sets by the method of convex projections
    • L. M. Bregman, "Finding the common point of convex sets by the method of convex projections," Dokl. Akad. Nauk. USSR, vol. 162, no. 3, pp. 487-490, 1965.
    • (1965) Dokl. Akad. Nauk. USSR , vol.162 , Issue.3 , pp. 487-490
    • Bregman, L.M.1
  • 37
    • 0025521840 scopus 로고
    • Efficient reconstruction of bandlimited sequences from nonuniformly decimated versions by use of polyphase filter banks
    • Nov.
    • P. P. Vaidyanathan and V. C. Liu, "Efficient reconstruction of bandlimited sequences from nonuniformly decimated versions by use of polyphase filter banks," IEEE Trans. Acoust., Speech, Signal Processing, vol. 38, pp. 1927-1936, Nov. 1990.
    • (1990) IEEE Trans. Acoust., Speech, Signal Processing , vol.38 , pp. 1927-1936
    • Vaidyanathan, P.P.1    Liu, V.C.2
  • 38
    • 0344201095 scopus 로고
    • The sampling theorem for functions with limited multi-band spectrum
    • L. Bezuglaya and V. Katsnelson, "The sampling theorem for functions with limited multi-band spectrum," Z. Anal. Anwendungen, vol. 12, pp. 511-534, 1993.
    • (1993) Z. Anal. Anwendungen , vol.12 , pp. 511-534
    • Bezuglaya, L.1    Katsnelson, V.2
  • 39
    • 21844512653 scopus 로고
    • 2 of the union of several intervals
    • 2 of the union of several intervals," Proc. Edinburgh Math. Soc., vol. 38, 1995.
    • (1995) Proc. Edinburgh Math. Soc. , vol.38
    • Seip, K.1
  • 40
    • 33749708199 scopus 로고
    • An efficient sampling technique for sums of bandpass functions
    • JPL
    • W. Lawton, "An efficient sampling technique for sums of bandpass functions," TDA Progress Rep. 42, JPL, 1982.
    • (1982) TDA Progress Rep. , vol.42
    • Lawton, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.