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484 IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, VOL. 46, NO. 4, APRIL 1998 Simultaneous Time-and
 

Summary: 484 IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, VOL. 46, NO. 4, APRIL 1998
Simultaneous Time- and
Frequency-Domain Extrapolation
Raviraj S. Adve, Member, IEEE, and Tapan K. Sarkar, Fellow, IEEE
Abstract--In this paper, given the early-time response and the
low-frequency response of a causal system, we simultaneously
extrapolate them in the time and frequency domains. The ap-
proach is iterative and is based on a simple discrete Fourier
transform. Simultaneous extrapolation in time and frequency
domains is further enhanced by using the matrix pencil technique
in the time domain and the Cauchy method in the frequency
domain. The results are further enhanced through the Hilbert
transform, hence enforcing the physical constraints of the system
and thereby guaranteeing a causal extrapolation in time. It is,
therefore, possible to generate information over a larger domain
from limited data. It is important to note that through this
extrapolation, no new information is created. The early-time
and low-frequency data are complementary and contain all the
desired information. The key is to extract this information in an
efficient and accurate manner.

  

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