Cite

[1] A. Aldroubi and K. Gröchenig, Nonuniform sampling and reconstruction in shift-invariant spaces, SIAM Review, vol. 43, no. 4, pp. 585-620, 2001.10.1137/S0036144501386986Search in Google Scholar

[2] W. Chen and S. Itoh, A sampling theorem for shift-invariant subspace, IEEE Trans. Signal Processing, vol. 46, pp. 2822-2824, 1998.Search in Google Scholar

[3] O. Christensen, An Introduction to frames and Riesz Bases, Birkhäuser, 2002.10.1007/978-0-8176-8224-8Search in Google Scholar

[4] J. R. Higgins, Sampling theory in Fourier and signal analysis, Oxford University Press, 1996.Search in Google Scholar

[5] Y. M. Hong, J. M. Kim, K. H. Kwon and E. H. Lee, Channeled sampling in shift invariant spaces, Int. J. Wavelets Multiresolut. Inf. Process., vol. 5, pp. 753-767, 2007.10.1142/S0219691307002038Search in Google Scholar

[6] A. J. E. M. Janssen, The Zak-transform and sampling theorem for wavelet subspaces, IEEE Trans. Signal Processing, vol. 41, pp. 3360-3364, 1993.Search in Google Scholar

[7] A. J. Jerri, The Shannon sampling theorem-Its various extentions and applications: A tutorial review, Proc. IEEE, vol. 65, pp. 1565-1596, 1977.Search in Google Scholar

[8] J. M. Kim and K. H. Kwon, Sampling expansion in shift invariant spaces, Int. J. Wavelets Multiresolut. Inf. Process., vol. 6, no. 2, pp. 223-248, 2008.10.1142/S021969130800232XSearch in Google Scholar

[9] A. Ron and Z. Shen, Frames and stable bases for shift-invariant subspaces of L2(ℝ), Canadian J. Math., vol. 47, pp.1051-1094, 1995.Search in Google Scholar

[10] M. Unser, Sampling-50 years after Shannon, Proc. IEEE, vol. 88, pp. 567-587, 2000.10.1109/5.843002Search in Google Scholar

[11] G. G. Walter, A sampling theorem for wavelet subspaces, IEEE Trans. Inform. Theory, vol. 38, pp. 881-884, 1992.10.1109/18.119745Search in Google Scholar

[12] P. Zhao, G. Liu and S. Itoh, Frames and sampling theorem for trnaslation-invariant subspaces, IEEE Signal Processing Letters, vol. 11, pp. 8-11, 2004.10.1109/LSP.2003.819357Search in Google Scholar

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Mathematics, General Mathematics