Referenced Items are not available for this document.
This paper presents a new algorithm which permits the reconstruction of a hand-limited function from samples taken at not necessarily regularly spaced intervals, and also the recovery of the Hilbert transform of the function. For example, this enables the reconstruction of the real or the imaginary part of the dielectric permeability by means of the Kramers-Kronig relations. Regardless of the given sampling values, the algorithm converges in L2 as well as pointwise and even. In contrast to known solutions, the algorithm requires no computation of Fourier integrals. Only a system of linear equations has to be solved in each iteration step. The approximating functions are distinguished by minimal energy. The new algorithm also applies to two-dimensional functions
Published in:
Instrumentation and Measurement, IEEE Transactions on
(Volume:46
,
Issue:
2
)
Date of Publication: Apr 1997
- Page(s):
- 442 - 444
- ISSN :
- 0018-9456
- INSPEC Accession Number:
- 5587845
- Digital Object Identifier :
- 10.1109/19.571880
- Product Type:
- Journals & Magazines
- Date of Current Version :
- 06 August 2002
- Issue Date :
- Apr 1997
- Sponsored by :
- IEEE Instrumentation and Measurement Society
About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies
A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2013 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.
