References
- M. A. Al-Gwaiz, Theory of Distributions, Marcel Dekker Inc., 1992.
- L. L. Campbell, Sampling theorem for the Fourier transform of a distribution with bounded support, SIAM J. Appl. Math. 16 (1968), 626-636. https://doi.org/10.1137/0116051
- J. R. Higgins, A sampling theorem for irregularly spaced sample points, IEEE Trans. Inform. Theory IT-22 (1976), no. 5, 621-622.
- J. R. Higgins, Sampling Theory in Fourier and Function Analysis: Foundations, Oxford Science, 1996.
-
G. Hinsen, Irregular sampling of bandlimited
$L^p$ -functions, J. Approx. Theory 72 (1993), no. 3, 346-364. https://doi.org/10.1006/jath.1993.1027 - M. I. Kadec, The exact value of the Paley-Wiener constant, Soviet Math. Dokl. 5 (1964) 559-561.
- A. J. Lee, Characterization of bandlimited functions and processes, Inform. Control 31 (1976), no. 3, 258-271. https://doi.org/10.1016/S0019-9958(76)90409-5
- N. Levinson, Gap and Density Theorems, American Mathematical Society Colloquium Publications, v. 26. American Mathematical Society, New York, 1940.
- R. Paley and N. Wiener, Fourier Transforms in the Complex Domain, (Amer. Math. Soc. Colloq. Pub. Ser.), Vol. 19, Privindence, RI: Amer. Math. Soc. 1934.
- E. Pfaffelhuber, Sampling series for band-limited generalized functions, IEEE Trans. Inform. Theory IT-17 (1971), 650-654.
- C. E. Shin, M. B. Lee, and K. S. Rim, Nonuniform sampling of bandlimited functions, IEEE Trans. Inform. Theory 54 (2008), no. 8, 3814-3819. https://doi.org/10.1109/TIT.2008.926458
- C. E. Shin, K. S. Rim, and Y. Kim, A weighted OFDM signal scheme for peak-to-average ratio reduction of OFDM signals, IEEE Trans. Veh. Technol. 62 (2013), 1406-1409. https://doi.org/10.1109/TVT.2012.2232949
- G. G. Walter, Sampling bandlimited functions of polynomial growth, SIAM J. Math. Anal. 19 (1988), no. 5, 1198-1201. https://doi.org/10.1137/0519084
- G. G. Walter, Nonuniform sampling of bandlimited functions of polynomial growth, SIAM J. Math. Anal. 23 (1992), no. 4, 995-1003. https://doi.org/10.1137/0523056
- M. Zakai, Band-limited functions and the sampling theorem, Inform. Control 8 (1965), 143-158. https://doi.org/10.1016/S0019-9958(65)90038-0
- A. I. Zayed, Advances in Shannon's Sampling Theory, CRC Press, Boca Raton, FL, 1993.
- A. I. Zayed and A. G. Garcia, Nonuniform sampling of bandlimited signals with polynomial growth on the real axis, IEEE Trans. Inform. Theory 43 (1997), no. 5, 1717-1721. https://doi.org/10.1109/18.623180