A new algorithm for the reconstruction of bandlimited functions and their hubert transform

IEEE Transactions on Instrumentation and Measurement

Volumn 46, Issue 2, 1997, Pages 442-444

  Boche, Holger ^a   Protzmann, Marcus ^b  

^a FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

^b DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Band limited functions; Finite energy; Hubert transform; Irregularly spaced samples; Linear equations; Nyquist density; Pointwise and even convergence

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; CORRELATION METHODS; DIELECTRIC PROPERTIES; FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS;

HILBERT TRANSFORMS; KRAMERS KRONIG RELATIONS; LINEAR EQUATIONS;

ELECTRIC VARIABLES MEASUREMENT;

EID: 0031117704     PISSN: 00189456     EISSN: None     Source Type: Journal    
DOI: 10.1109/19.571880     Document Type: Article

References (6)

1. H. Boche and M. Protzmann, "A new algorithm for the approximation of bandlimited signals," Tech. Rep. ET-IEE-1-1995, TU Dresden (in German).
2. _, "A new algorithm for the approximation of bandlimited functions and their Hubert transform," Res. Rep. 358, Research Dept. "Automated System Design," Subproject Al: "Algorithm- Architecture-Codesign," TU Dresden 1995 (in German).
3. A. Papoulis, The Fourier Integral and its Applications. New York: McGraw-Hill, 1962.
4. K. Gröchenig, Efficient Algorithms in Irregular Sampling of Band-Limited Functions. Storrs, CT: Univ. Connecticut Press, 1995.
5. R. J. Marks, "Introduction to Shannon sampling theory," in Springer Texts in Electrical Engineering. New York: Springer Verlag, 1991.
6. P. Butzer and R. Stens, "Sampling theory for not necessarily band-limited functions," SIAM Rev., vol. 34, no. 1, pp. 40-53, Mar. 1992.