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

doi:10.1109/APS.2005.1552107

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

Department of Electrical Engineering & Computer Science

Research output: Chapter in Book/Entry/Poem › Conference contribution

1 Scopus citations

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 language	English (US)
Title of host publication	2005 IEEE Antennas and Propagation Society International Symposium and USNC/URSI Meeting, Digest
Pages	688-691
Number of pages	4
DOIs	https://doi.org/10.1109/APS.2005.1552107
State	Published - 2005
Event	2005 IEEE Antennas and Propagation Society International Symposium and USNC/URSI Meeting - Washington, DC, United States Duration: Jul 3 2005 → Jul 8 2005

Publication series

Name	IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
Volume	2 B
ISSN (Print)	1522-3965

Other

Other	2005 IEEE Antennas and Propagation Society International Symposium and USNC/URSI Meeting
Country/Territory	United States
City	Washington, DC
Period	7/3/05 → 7/8/05

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/APS.2005.1552107

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Yuan, M., Van Den Berg, P. M., & Sarkar, T. K. (2005). Direct extrapolation of a causal signal using low-frequency and early-time data based on integral equations. In 2005 IEEE Antennas and Propagation Society International Symposium and USNC/URSI Meeting, Digest (pp. 688-691). Article 1552107 (IEEE Antennas and Propagation Society, AP-S International Symposium (Digest); Vol. 2 B). https://doi.org/10.1109/APS.2005.1552107

Direct extrapolation of a causal signal using low-frequency and early-time data based on integral equations. / Yuan, Mengtao; Van Den Berg, P. M.; Sarkar, Tapan K.
2005 IEEE Antennas and Propagation Society International Symposium and USNC/URSI Meeting, Digest. 2005. p. 688-691 1552107 (IEEE Antennas and Propagation Society, AP-S International Symposium (Digest); Vol. 2 B).

Research output: Chapter in Book/Entry/Poem › Conference contribution

Yuan, M, Van Den Berg, PM & Sarkar, TK 2005, Direct extrapolation of a causal signal using low-frequency and early-time data based on integral equations. in 2005 IEEE Antennas and Propagation Society International Symposium and USNC/URSI Meeting, Digest., 1552107, IEEE Antennas and Propagation Society, AP-S International Symposium (Digest), vol. 2 B, pp. 688-691, 2005 IEEE Antennas and Propagation Society International Symposium and USNC/URSI Meeting, Washington, DC, United States, 7/3/05. https://doi.org/10.1109/APS.2005.1552107

Yuan M, Van Den Berg PM, Sarkar TK. Direct extrapolation of a causal signal using low-frequency and early-time data based on integral equations. In 2005 IEEE Antennas and Propagation Society International Symposium and USNC/URSI Meeting, Digest. 2005. p. 688-691. 1552107. (IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)). doi: 10.1109/APS.2005.1552107

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

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