Simultaneous time- and frequency-domain extrapolation

Raviraj S. Adve, Tapan K. Sarkar

Research output: Contribution to journalArticle

18 Scopus citations

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 approach 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 Hubert 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.

Original languageEnglish (US)
Pages (from-to)484-493
Number of pages10
JournalIEEE Transactions on Antennas and Propagation
Volume46
Issue number4
DOIs
StatePublished - Dec 1 1998

Keywords

  • Extrapolation
  • Frequency-domain analysis
  • Timedomain analysis

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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