Direct extrapolation of a causal signal using low-frequency and early-time data based on integral equations

Mengtao Yuan, P. M. Van Den Berg, Tapan K. Sarkar

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper we provide two direct procedures to extrapolate the early-time and the low-frequency response of a causal signal simultaneously in the time-and frequency domain. We show that the extrapolation introduced by Adve and Sarkar is equivalent to a Neumann-series solution of an integral equation of the second kind. It is further shown that this iterative Neumann expansion is an error-reducing method. We propose to solve this integral equation efficiently by employing a conjugate gradient iterative scheme. The convergence of this scheme is also demonstrated. Finally, a numerical example is presented and the performances of the two direct methods are compared.

Original languageEnglish (US)
Title of host publication2005 IEEE Antennas and Propagation Society International Symposium and USNC/URSI Meeting, Digest
Pages688-691
Number of pages4
DOIs
StatePublished - Dec 1 2005
Event2005 IEEE Antennas and Propagation Society International Symposium and USNC/URSI Meeting - Washington, DC, United States
Duration: Jul 3 2005Jul 8 2005

Publication series

NameIEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
Volume2 B
ISSN (Print)1522-3965

Other

Other2005 IEEE Antennas and Propagation Society International Symposium and USNC/URSI Meeting
CountryUnited States
CityWashington, DC
Period7/3/057/8/05

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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