메뉴 건너뛰기




Volumn 48, Issue 11, 2002, Pages 2955-2963

Reconstruction of band-limited signals from local averages

Author keywords

Aliasing error; Average sampling; Band limited signals; Sampling theorems

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; ERROR ANALYSIS; INFORMATION THEORY; MATHEMATICAL MODELS; RANDOM PROCESSES; SAMPLING; THEOREM PROVING;

EID: 0036846208     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2002.804047     Document Type: Article
Times cited : (71)

References (22)
  • 1
    • 0035570177 scopus 로고    scopus 로고
    • Non-uniform sampling and reconstruction in shift-invariant spaces
    • A. Aldroubi and K. Gröchenig, "Non-uniform sampling and reconstruction in shift-invariant spaces," SIAM Rev., vol. 43, pp. 585-620, 2001.
    • (2001) SIAM Rev. , vol.43 , pp. 585-620
    • Aldroubi, A.1    Gröchenig, K.2
  • 2
    • 84941053642 scopus 로고
    • Sampling procedures in function spaces and asymptotic equivalence with Shannon's sampling theory
    • A. Aldroubi and M. Unser, "Sampling procedures in function spaces and asymptotic equivalence with Shannon's sampling theory," Numer. Funct. Anal. Optimiz., vol. 15, pp. 1-21, 1994.
    • (1994) Numer. Funct. Anal. Optimiz. , vol.15 , pp. 1-21
    • Aldroubi, A.1    Unser, M.2
  • 3
    • 0002237285 scopus 로고
    • Irregular sampling and frames
    • C. K. Chui, Ed. Boston, MA: Academic
    • J. J. Benedetto, "Irregular sampling and frames," in Wavelets: A Tutorial in Theory and Applications, C. K. Chui, Ed. Boston, MA: Academic, 1992, pp. 445-507.
    • (1992) Wavelets: A Tutorial in Theory and Applications , pp. 445-507
    • Benedetto, J.J.1
  • 4
    • 0002900223 scopus 로고
    • On the error in reconstructing a nonband-limited function by means of the band pass sampling theorem
    • J. L. Brown, Jr., "On the error in reconstructing a nonband-limited function by means of the band pass sampling theorem," J. Math. Anal. Appl., vol. 18, pp. 75-84, 1967.
    • (1967) J. Math. Anal. Appl. , vol.18 , pp. 75-84
    • Brown J.L., Jr.1
  • 5
    • 0002038798 scopus 로고
    • The sampling theorem and linear prediction in signal analysis
    • P. L. Butzer, W. Splettstöber, and R. L. Stens, "The sampling theorem and linear prediction in signal analysis," Jber. d. Dt. Math.-Verein, vol. 90, pp. 1-70, 1988.
    • (1988) Jber. d. Dt. Math.-Verein , vol.90 , pp. 1-70
    • Butzer, P.L.1    Splettstöber, W.2    Stens, R.L.3
  • 6
    • 0011366831 scopus 로고    scopus 로고
    • Errors in truncated sampling series with measured sampled values for nonnecessarily band-limited functions
    • P. L. Butzer and J. Lei, "Errors in truncated sampling series with measured sampled values for nonnecessarily band-limited functions," Functiones et Approximation, vol. XXVI, pp. 25-39, 1998.
    • (1998) Functiones et Approximation , vol.26 , pp. 25-39
    • Butzer, P.L.1    Lei, J.2
  • 7
    • 0000147391 scopus 로고    scopus 로고
    • Approximation of signals using measured sampled values and error analysis
    • ____, "Approximation of signals using measured sampled values and error analysis," Commun. Appl. Anal., vol. 4, pp. 245-255, 2000.
    • (2000) Commun. Appl. Anal. , vol.4 , pp. 245-255
    • Butzer, P.L.1    Lei, J.2
  • 8
    • 0001503825 scopus 로고
    • A Paley-Wiener theorem for frames
    • O. Christensen, "A Paley-Wiener theorem for frames," Proc. Amer. Math. Soc., vol. 123, pp. 2199-2202, 1995.
    • (1995) Proc. Amer. Math. Soc. , vol.123 , pp. 2199-2202
    • Christensen, O.1
  • 9
    • 0000979681 scopus 로고
    • Iterative reconstruction of multivariate band-limited functions from irregular sampling values
    • H. Feichtinger and K. Gröchenig, "Iterative reconstruction of multivariate band-limited functions from irregular sampling values," SIAM J. Math. Anal., vol. 23, pp. 244-261, 1992.
    • (1992) SIAM J. Math. Anal. , vol.23 , pp. 244-261
    • Feichtinger, H.1    Gröchenig, K.2
  • 10
    • 0000338940 scopus 로고
    • Irregular sampling theorems and series expansions of band-limited functions
    • ____, "Irregular sampling theorems and series expansions of band-limited functions," J. Math. Anal. Appl., vol. 167, pp. 530-556, 1992.
    • (1992) J. Math. Anal. Appl. , vol.167 , pp. 530-556
    • Feichtinger, H.1    Gröchenig, K.2
  • 11
    • 0011367688 scopus 로고
    • Error analysis in regular and irregular sampling theory
    • ____, "Error analysis in regular and irregular sampling theory," Appl. Anal., vol. 50, pp. 167-189, 1992.
    • (1992) Appl. Anal. , vol.50 , pp. 167-189
    • Feichtinger, H.1    Gröchenig, K.2
  • 12
    • 0000548718 scopus 로고
    • Theory and practice of irregular sampling
    • J. Benedetto and M. Frazier, Eds. Boca Raton, FL: CRC
    • ____, "Theory and practice of irregular sampling," in Wavelets: Mathematics and Applications, J. Benedetto and M. Frazier, Eds. Boca Raton, FL: CRC, 1994, pp. 305-363.
    • (1994) Wavelets: Mathematics and Applications , pp. 305-363
    • Feichtinger, H.1    Gröchenig, K.2
  • 13
    • 84966222310 scopus 로고
    • Reconstruction algorithms in irregular sampling
    • K. Gröchenig, "Reconstruction algorithms in irregular sampling," Math. Comput., vol. 59, pp. 181-194, 1992.
    • (1992) Math. Comput. , vol.59 , pp. 181-194
    • Gröchenig, K.1
  • 16
    • 0011367689 scopus 로고    scopus 로고
    • Average sampling theorems for shift invariant subspaces
    • W. Sun, and X. Zhou, "Average sampling theorems for shift invariant subspaces," Sci. in China, ser. E, vol. 43, pp. 524-530, 2000.
    • (2000) Sci. in China, Ser. E , vol.43 , pp. 524-530
    • Sun, W.1    Zhou, X.2
  • 17
    • 31244434358 scopus 로고    scopus 로고
    • Average sampling in spline subspaces
    • ____, "Average sampling in spline subspaces," Appl. Math. Lett., vol. 15, pp. 233-237, 2002.
    • (2002) Appl. Math. Lett. , vol.15 , pp. 233-237
    • Sun, W.1    Zhou, X.2
  • 18
    • 0036011650 scopus 로고    scopus 로고
    • Reconstruction of band-limited functions from local averages
    • ____, "Reconstruction of band-limited functions from local averages," Construct. Approx., vol. 18, pp. 185-202, 2002.
    • (2002) Construct. Approx. , vol.18 , pp. 185-202
    • Sun, W.1    Zhou, X.2
  • 19
    • 0028546247 scopus 로고
    • A general sampling theory for nonideal acquisition devices
    • Nov.
    • M. Unser and A. Aldroubi, "A general sampling theory for nonideal acquisition devices," IEEE Trans. Signal Processing, vol. 42, pp. 2915-2925, Nov. 1994.
    • (1994) IEEE Trans. Signal Processing , vol.42 , pp. 2915-2925
    • Unser, M.1    Aldroubi, A.2
  • 20
    • 0017919820 scopus 로고
    • Recovery of band-limited signals from unequally spaced samples
    • Jan.
    • R. G. Wiley, "Recovery of band-limited signals from unequally spaced samples," IEEE Trans. Commun., vol. COM-26, pp. 135-137, Jan. 1978.
    • (1978) IEEE Trans. Commun. , vol.COM-26 , pp. 135-137
    • Wiley, R.G.1
  • 21
    • 0027853485 scopus 로고
    • On sampling theorem, wavelets, and wavelet transforms
    • Dec.
    • X. G. Xia and Z. Zhang, "On sampling theorem, wavelets, and wavelet transforms," IEEE Trans. Signal Processing, vol. 41, pp. 3524-3535, Dec. 1993.
    • (1993) IEEE Trans. Signal Processing , vol.41 , pp. 3524-3535
    • Xia, X.G.1    Zhang, Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.