Impulse Response Determination in the Time Domain-Theory

Tapan Kumar Sarkar, Donald D. Weiner, Vijay K. Jain, Soheil A. Dianat

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

Two methods are presented for determining the impulse response of an object in the time domain when both the input and output time domain waveforms are specified. Pole extraction features can then be applied to the nonimpulsive portion of the impulse response to determine the singularity expansion method (SEM) parameters of the object. The first method involves synthetic division and is comparatively straightforward. The second technique is a least squares method which is computationally more stable. The effect of measurement errors in the input and output waveforms is evaluated for each method. An investigation is made as to what form of the input minimizes the noise variances in the computation. Finally a generalized least squares technique is presented, which yields a minimum variance unbiased estimate for the impulse response when the noise covariance matrix is known.

Original languageEnglish (US)
Pages (from-to)657-663
Number of pages7
JournalIEEE Transactions on Antennas and Propagation
Volume30
Issue number4
DOIs
StatePublished - 1982
Externally publishedYes

Fingerprint

Impulse response
impulses
waveforms
output
least squares method
Covariance matrix
Measurement errors
pattern recognition
division
Feature extraction
Poles
poles
expansion
estimates

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics
  • Computer Networks and Communications

Cite this

Impulse Response Determination in the Time Domain-Theory. / Sarkar, Tapan Kumar; Weiner, Donald D.; Jain, Vijay K.; Dianat, Soheil A.

In: IEEE Transactions on Antennas and Propagation, Vol. 30, No. 4, 1982, p. 657-663.

Research output: Contribution to journalArticle

Sarkar, Tapan Kumar ; Weiner, Donald D. ; Jain, Vijay K. ; Dianat, Soheil A. / Impulse Response Determination in the Time Domain-Theory. In: IEEE Transactions on Antennas and Propagation. 1982 ; Vol. 30, No. 4. pp. 657-663.
@article{3f7c3eb76ade49f7898349fc832bfab1,
title = "Impulse Response Determination in the Time Domain-Theory",
abstract = "Two methods are presented for determining the impulse response of an object in the time domain when both the input and output time domain waveforms are specified. Pole extraction features can then be applied to the nonimpulsive portion of the impulse response to determine the singularity expansion method (SEM) parameters of the object. The first method involves synthetic division and is comparatively straightforward. The second technique is a least squares method which is computationally more stable. The effect of measurement errors in the input and output waveforms is evaluated for each method. An investigation is made as to what form of the input minimizes the noise variances in the computation. Finally a generalized least squares technique is presented, which yields a minimum variance unbiased estimate for the impulse response when the noise covariance matrix is known.",
author = "Sarkar, {Tapan Kumar} and Weiner, {Donald D.} and Jain, {Vijay K.} and Dianat, {Soheil A.}",
year = "1982",
doi = "10.1109/TAP.1982.1142871",
language = "English (US)",
volume = "30",
pages = "657--663",
journal = "IEEE Transactions on Antennas and Propagation",
issn = "0018-926X",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "4",

}

TY - JOUR

T1 - Impulse Response Determination in the Time Domain-Theory

AU - Sarkar, Tapan Kumar

AU - Weiner, Donald D.

AU - Jain, Vijay K.

AU - Dianat, Soheil A.

PY - 1982

Y1 - 1982

N2 - Two methods are presented for determining the impulse response of an object in the time domain when both the input and output time domain waveforms are specified. Pole extraction features can then be applied to the nonimpulsive portion of the impulse response to determine the singularity expansion method (SEM) parameters of the object. The first method involves synthetic division and is comparatively straightforward. The second technique is a least squares method which is computationally more stable. The effect of measurement errors in the input and output waveforms is evaluated for each method. An investigation is made as to what form of the input minimizes the noise variances in the computation. Finally a generalized least squares technique is presented, which yields a minimum variance unbiased estimate for the impulse response when the noise covariance matrix is known.

AB - Two methods are presented for determining the impulse response of an object in the time domain when both the input and output time domain waveforms are specified. Pole extraction features can then be applied to the nonimpulsive portion of the impulse response to determine the singularity expansion method (SEM) parameters of the object. The first method involves synthetic division and is comparatively straightforward. The second technique is a least squares method which is computationally more stable. The effect of measurement errors in the input and output waveforms is evaluated for each method. An investigation is made as to what form of the input minimizes the noise variances in the computation. Finally a generalized least squares technique is presented, which yields a minimum variance unbiased estimate for the impulse response when the noise covariance matrix is known.

UR - http://www.scopus.com/inward/record.url?scp=0020152944&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0020152944&partnerID=8YFLogxK

U2 - 10.1109/TAP.1982.1142871

DO - 10.1109/TAP.1982.1142871

M3 - Article

AN - SCOPUS:0020152944

VL - 30

SP - 657

EP - 663

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

SN - 0018-926X

IS - 4

ER -