Title :
A new algorithm for the reconstruction of bandlimited functions and their Hilbert-transformed
Author :
Boche, H. ; Protzmann, M.
Author_Institution :
Fakultat fur Inf. und Math., Friedrich-Schiller-Univ., Jena, Germany
Abstract :
This paper presents a new algorithm which allows reconstruction of a bandlimited function from its sampling instants which do not have to be regularly spaced and the recovery of the Hilbert-transform of the function. The method described enables reconstruction of the real or the imaginary part of the dielectric permeability by means of the Kramers-Kronig-relations. The new algorithm also applies to two-dimensional functions.
Keywords :
Hilbert transforms; data handling; dielectric measurement; digital-analogue conversion; permeability; signal reconstruction; 2D; Hilbert-transform; Kramers-Kronig-relations; bandlimited functions; dielectric permeability; imaginary part; real part; reconstruction; recovery; spaced sampling; two-dimensional functions; Approximation algorithms; Convergence of numerical methods; Dielectrics; Electrical engineering; Frequency dependence; Hilbert space; Image reconstruction; Permeability; Polarization; Sampling methods;
Conference_Titel :
Precision Electromagnetic Measurements Digest, 1996 Conference on
Conference_Location :
Braunschweig, Germany
Print_ISBN :
0-7803-3376-4
DOI :
10.1109/CPEM.1996.546556
