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1108 IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, VOL. 47, NO. 6, JUNE 1999 Simultaneous Extrapolation in Time and
 

Summary: 1108 IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, VOL. 47, NO. 6, JUNE 1999
Simultaneous Extrapolation in Time and
Frequency Domains Using Hermite Expansions
Murli Mohan Rao, Tapan K. Sarkar, Fellow, IEEE, Tricha Anjali, and Raviraj S. Adve
Abstract-- The time-domain response of a three-dimensional
(3-D) conducting object is modeled as an associate hermite (AH)
series expansion. Using the isomorphism of the AH function and
its Fourier transform, the frequency-domain response can be
expressed as a scaled version of the time-domain expansion. Using
early-time and low-frequency data, we demonstrate simultaneous
expansion in both domains. This approach is attractive because
expansions with only 1020 terms give good extrapolation in
both time and frequency domains. The computation involved is
minimal with this method.
Index Terms--Frequency-domain analysis, time-domain anal-
ysis.
I. INTRODUCTION
IN electromagnetic analysis, field quantities are usually as-
sumed to be time harmonic. This suggests that the solution
lies in the frequency domain. The method of moments (MoM),

  

Source: Adve, Raviraj - Department of Electrical and Computer Engineering, University of Toronto
Sarkar, Tapan K. - Department of Electrical Engineering and Computer Science, Syracuse University

 

Collections: Engineering