Ultra-wideband direction-of-arrival considerations for antenna arrays in the presence of mutual coupling

David B. Alexander, Ram Mohan Narayanan, Braham Himed

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper discusses the theoretical considerations for direction-of-arrival (DOA) estimation using antenna arrays in the presence of mutual coupling. In arrays, the relative proximity of antenna elements results in some manner of near-field mutual coupling that can negatively impact the array performance. In particular, mutual coupling can degrade the quality of DOA estimations and reduce the ability of the array to perform high-quality correlation processing and direction finding. The expected variance of an array performing DOA estimation is inversely related to the Fisher information matrix of the system. Theoretical radiated fields of a linear antenna array were compared to more realistic behavior of the equivalent architectures produced in electromagnetics simulation software. The mutual coupling between all the elements in an array can be a difficult phenomenon to precisely define, as it is an iterative process with many higher-order effects. To circumvent this, a mutual coupling matrix is defined as the relation between the theoretical radiation characteristic of an array and its simulated counterpart. An inverse solution method was used to solve for the mutual coupling interactions. The expected impact of mutual coupling in a DOA estimation context was then mathematically established by propagating the mutual coupling matrix through calculation of the Fisher information matrix and compared to the case of no mutual coupling. It was found that taking mutual coupling into consideration yields a higher Cramer-Rao Lower Bound and as a result a greater RMS angle error in a DOA estimation context. Mutual coupling was also found to have a somewhat greater impact on the Cramer-Rao Bound at S-band than at X-band.

Original languageEnglish (US)
Title of host publicationRadar Sensor Technology XXII
EditorsArmin Doerry, Kenneth I. Ranney
PublisherSPIE
ISBN (Electronic)9781510617773
DOIs
StatePublished - Jan 1 2018
EventRadar Sensor Technology XXII 2018 - Orlando, United States
Duration: Apr 16 2018Apr 18 2018

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume10633
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Other

OtherRadar Sensor Technology XXII 2018
CountryUnited States
CityOrlando
Period4/16/184/18/18

Fingerprint

Direction of Arrival
Antenna Arrays
Direction of arrival
antenna arrays
Antenna arrays
Ultra-wideband (UWB)
arrivals
broadband
Fisher information matrix
Cramer-Rao bounds
Fisher information
Fisher Information Matrix
matrices
Antennas
Radiation
direction finding
Cramér-Rao Bound
Cramer-Rao Lower Bound
S band
Linear Array

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

Cite this

Alexander, D. B., Narayanan, R. M., & Himed, B. (2018). Ultra-wideband direction-of-arrival considerations for antenna arrays in the presence of mutual coupling. In A. Doerry, & K. I. Ranney (Eds.), Radar Sensor Technology XXII [1063315] (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 10633). SPIE. https://doi.org/10.1117/12.2305855
Alexander, David B. ; Narayanan, Ram Mohan ; Himed, Braham. / Ultra-wideband direction-of-arrival considerations for antenna arrays in the presence of mutual coupling. Radar Sensor Technology XXII. editor / Armin Doerry ; Kenneth I. Ranney. SPIE, 2018. (Proceedings of SPIE - The International Society for Optical Engineering).
@inproceedings{706c504dcad645669e2ada772c944dca,
title = "Ultra-wideband direction-of-arrival considerations for antenna arrays in the presence of mutual coupling",
abstract = "This paper discusses the theoretical considerations for direction-of-arrival (DOA) estimation using antenna arrays in the presence of mutual coupling. In arrays, the relative proximity of antenna elements results in some manner of near-field mutual coupling that can negatively impact the array performance. In particular, mutual coupling can degrade the quality of DOA estimations and reduce the ability of the array to perform high-quality correlation processing and direction finding. The expected variance of an array performing DOA estimation is inversely related to the Fisher information matrix of the system. Theoretical radiated fields of a linear antenna array were compared to more realistic behavior of the equivalent architectures produced in electromagnetics simulation software. The mutual coupling between all the elements in an array can be a difficult phenomenon to precisely define, as it is an iterative process with many higher-order effects. To circumvent this, a mutual coupling matrix is defined as the relation between the theoretical radiation characteristic of an array and its simulated counterpart. An inverse solution method was used to solve for the mutual coupling interactions. The expected impact of mutual coupling in a DOA estimation context was then mathematically established by propagating the mutual coupling matrix through calculation of the Fisher information matrix and compared to the case of no mutual coupling. It was found that taking mutual coupling into consideration yields a higher Cramer-Rao Lower Bound and as a result a greater RMS angle error in a DOA estimation context. Mutual coupling was also found to have a somewhat greater impact on the Cramer-Rao Bound at S-band than at X-band.",
author = "Alexander, {David B.} and Narayanan, {Ram Mohan} and Braham Himed",
year = "2018",
month = "1",
day = "1",
doi = "10.1117/12.2305855",
language = "English (US)",
series = "Proceedings of SPIE - The International Society for Optical Engineering",
publisher = "SPIE",
editor = "Armin Doerry and Ranney, {Kenneth I.}",
booktitle = "Radar Sensor Technology XXII",
address = "United States",

}

Alexander, DB, Narayanan, RM & Himed, B 2018, Ultra-wideband direction-of-arrival considerations for antenna arrays in the presence of mutual coupling. in A Doerry & KI Ranney (eds), Radar Sensor Technology XXII., 1063315, Proceedings of SPIE - The International Society for Optical Engineering, vol. 10633, SPIE, Radar Sensor Technology XXII 2018, Orlando, United States, 4/16/18. https://doi.org/10.1117/12.2305855

Ultra-wideband direction-of-arrival considerations for antenna arrays in the presence of mutual coupling. / Alexander, David B.; Narayanan, Ram Mohan; Himed, Braham.

Radar Sensor Technology XXII. ed. / Armin Doerry; Kenneth I. Ranney. SPIE, 2018. 1063315 (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 10633).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - Ultra-wideband direction-of-arrival considerations for antenna arrays in the presence of mutual coupling

AU - Alexander, David B.

AU - Narayanan, Ram Mohan

AU - Himed, Braham

PY - 2018/1/1

Y1 - 2018/1/1

N2 - This paper discusses the theoretical considerations for direction-of-arrival (DOA) estimation using antenna arrays in the presence of mutual coupling. In arrays, the relative proximity of antenna elements results in some manner of near-field mutual coupling that can negatively impact the array performance. In particular, mutual coupling can degrade the quality of DOA estimations and reduce the ability of the array to perform high-quality correlation processing and direction finding. The expected variance of an array performing DOA estimation is inversely related to the Fisher information matrix of the system. Theoretical radiated fields of a linear antenna array were compared to more realistic behavior of the equivalent architectures produced in electromagnetics simulation software. The mutual coupling between all the elements in an array can be a difficult phenomenon to precisely define, as it is an iterative process with many higher-order effects. To circumvent this, a mutual coupling matrix is defined as the relation between the theoretical radiation characteristic of an array and its simulated counterpart. An inverse solution method was used to solve for the mutual coupling interactions. The expected impact of mutual coupling in a DOA estimation context was then mathematically established by propagating the mutual coupling matrix through calculation of the Fisher information matrix and compared to the case of no mutual coupling. It was found that taking mutual coupling into consideration yields a higher Cramer-Rao Lower Bound and as a result a greater RMS angle error in a DOA estimation context. Mutual coupling was also found to have a somewhat greater impact on the Cramer-Rao Bound at S-band than at X-band.

AB - This paper discusses the theoretical considerations for direction-of-arrival (DOA) estimation using antenna arrays in the presence of mutual coupling. In arrays, the relative proximity of antenna elements results in some manner of near-field mutual coupling that can negatively impact the array performance. In particular, mutual coupling can degrade the quality of DOA estimations and reduce the ability of the array to perform high-quality correlation processing and direction finding. The expected variance of an array performing DOA estimation is inversely related to the Fisher information matrix of the system. Theoretical radiated fields of a linear antenna array were compared to more realistic behavior of the equivalent architectures produced in electromagnetics simulation software. The mutual coupling between all the elements in an array can be a difficult phenomenon to precisely define, as it is an iterative process with many higher-order effects. To circumvent this, a mutual coupling matrix is defined as the relation between the theoretical radiation characteristic of an array and its simulated counterpart. An inverse solution method was used to solve for the mutual coupling interactions. The expected impact of mutual coupling in a DOA estimation context was then mathematically established by propagating the mutual coupling matrix through calculation of the Fisher information matrix and compared to the case of no mutual coupling. It was found that taking mutual coupling into consideration yields a higher Cramer-Rao Lower Bound and as a result a greater RMS angle error in a DOA estimation context. Mutual coupling was also found to have a somewhat greater impact on the Cramer-Rao Bound at S-band than at X-band.

UR - http://www.scopus.com/inward/record.url?scp=85050011684&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85050011684&partnerID=8YFLogxK

U2 - 10.1117/12.2305855

DO - 10.1117/12.2305855

M3 - Conference contribution

AN - SCOPUS:85050011684

T3 - Proceedings of SPIE - The International Society for Optical Engineering

BT - Radar Sensor Technology XXII

A2 - Doerry, Armin

A2 - Ranney, Kenneth I.

PB - SPIE

ER -

Alexander DB, Narayanan RM, Himed B. Ultra-wideband direction-of-arrival considerations for antenna arrays in the presence of mutual coupling. In Doerry A, Ranney KI, editors, Radar Sensor Technology XXII. SPIE. 2018. 1063315. (Proceedings of SPIE - The International Society for Optical Engineering). https://doi.org/10.1117/12.2305855