General sampling theorem using contour integral

Journal of Mathematical Analysis and Applications

Volumn 291, Issue 1, 2004, Pages 50-65

  Shin, Chang Eon ^a   Chung, Soon Yeong ^a   Kim, Dohan ^b  

^a Sogang University   (South Korea)

^b Seoul National University   (South Korea)

Author keywords

Contour integral; Sampling theorem

Indexed keywords

EID: 1442307683     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2003.10.042     Document Type: Article

References (12)

1. R.P. Boas, Entire Functions, Academic Press, New York, 1954.
2. H.R. Higgins, Sampling Theory in Fourier and Signal Analysis: Foundations, Oxford Science, 1996.
3. V.A. Kotel'nikov, On the transmission capacity of ether and wire in electrocommunications, in: Material for the First All-Union Conference on Questions of Communication, Izd. Red. Upr. Svyazi RKKA, Moscow, 1933 (in Russian).
4. A.J. Lee, Characterization of band-limited functions and processes, Inform. Control 31 (1976) 258-271.
5. N. Levinson, Gap and Density Theorems, in: Amer. Math. Soc. Colloq. Publ., vol. 26, American Mathematical Society, New York, 1940.
6. K. Seip, An irregular sampling theorem for functions bandlimited in a generalized sense, SIAM J. Appl. Math. 47 (1987) 1112-1116.
7. C.E. Shannon, Communication in the presence of noise, Proc. IRE 37 (1949) 10-21.
8. G.G. Walter, Sampling bandlimited functions of polynomial growth, SIAM J. Math. Anal. 19 (1988) 1198-1203.
9. E.T. Whittaker, On the functions which are represented by the expansions of the interpolation theory, Proc. Roy. Soc. Edinburgh 35 (1915) 181-194.
10. R.M. Young, An Introduction to Nonharmonic Analysis, Academic Press, New York, 1980.
11. M. Zakai, Band-limited functions and the sampling theorem, Inform. Control 8 (1965) 143-158.
12. A.I. Zayed, Advances in Shannon's Sampling Theory, CRC Press, Boca Raton, FL, 1993.