Direction of arrival by non-coherent arrays

Wei Jiang; Alexander M. Haimovich; Yonina C. Eldar

doi:10.1109/RADAR.2016.7485274

Direction of arrival by non-coherent arrays

Wei Jiang, Alexander M. Haimovich, Yonina C. Eldar

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

3 Scopus citations

Abstract

In previous work we have shown that non-coherent direction of arrival (DOA) estimation by an array of sensors may be implemented from magnitude-only measurements. Here we show that magnitude-only measurements collected by a sensor array may be modeled by a non-central chi-square distribution with mean and variance independent of the phase errors. We also develop a closed-form expression for the Cramer-Rao bound (CRB) of non-coherent DOA estimation for the difference in spatial frequency between two sources. Finally, we obtain closed-form expressions for the maximum likelihood estimates (MLEs) of various unknown parameters. These theoretical expressions are used to analyze the performance of non-coherent DOA estimation.

Original language	English (US)
Title of host publication	2016 IEEE Radar Conference, RadarConf 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781509008636
DOIs	https://doi.org/10.1109/RADAR.2016.7485274
State	Published - Jun 3 2016
Event	2016 IEEE Radar Conference, RadarConf 2016 - Philadelphia, United States Duration: May 2 2016 → May 6 2016

Publication series

Name	2016 IEEE Radar Conference, RadarConf 2016

Other

Other	2016 IEEE Radar Conference, RadarConf 2016
Country/Territory	United States
City	Philadelphia
Period	5/2/16 → 5/6/16

All Science Journal Classification (ASJC) codes

Signal Processing
Computer Networks and Communications
Instrumentation

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10.1109/RADAR.2016.7485274

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@inproceedings{f73e715f955940b5a7f7d644181cff5b,

title = "Direction of arrival by non-coherent arrays",

abstract = "In previous work we have shown that non-coherent direction of arrival (DOA) estimation by an array of sensors may be implemented from magnitude-only measurements. Here we show that magnitude-only measurements collected by a sensor array may be modeled by a non-central chi-square distribution with mean and variance independent of the phase errors. We also develop a closed-form expression for the Cramer-Rao bound (CRB) of non-coherent DOA estimation for the difference in spatial frequency between two sources. Finally, we obtain closed-form expressions for the maximum likelihood estimates (MLEs) of various unknown parameters. These theoretical expressions are used to analyze the performance of non-coherent DOA estimation.",

author = "Wei Jiang and Haimovich, {Alexander M.} and Eldar, {Yonina C.}",

note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 2016 IEEE Radar Conference, RadarConf 2016 ; Conference date: 02-05-2016 Through 06-05-2016",

year = "2016",

month = jun,

day = "3",

doi = "10.1109/RADAR.2016.7485274",

language = "English (US)",

series = "2016 IEEE Radar Conference, RadarConf 2016",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

booktitle = "2016 IEEE Radar Conference, RadarConf 2016",

address = "United States",

}

TY - GEN

T1 - Direction of arrival by non-coherent arrays

AU - Jiang, Wei

AU - Haimovich, Alexander M.

AU - Eldar, Yonina C.

PY - 2016/6/3

Y1 - 2016/6/3

N2 - In previous work we have shown that non-coherent direction of arrival (DOA) estimation by an array of sensors may be implemented from magnitude-only measurements. Here we show that magnitude-only measurements collected by a sensor array may be modeled by a non-central chi-square distribution with mean and variance independent of the phase errors. We also develop a closed-form expression for the Cramer-Rao bound (CRB) of non-coherent DOA estimation for the difference in spatial frequency between two sources. Finally, we obtain closed-form expressions for the maximum likelihood estimates (MLEs) of various unknown parameters. These theoretical expressions are used to analyze the performance of non-coherent DOA estimation.

AB - In previous work we have shown that non-coherent direction of arrival (DOA) estimation by an array of sensors may be implemented from magnitude-only measurements. Here we show that magnitude-only measurements collected by a sensor array may be modeled by a non-central chi-square distribution with mean and variance independent of the phase errors. We also develop a closed-form expression for the Cramer-Rao bound (CRB) of non-coherent DOA estimation for the difference in spatial frequency between two sources. Finally, we obtain closed-form expressions for the maximum likelihood estimates (MLEs) of various unknown parameters. These theoretical expressions are used to analyze the performance of non-coherent DOA estimation.

UR - http://www.scopus.com/inward/record.url?scp=84978229490&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84978229490&partnerID=8YFLogxK

U2 - 10.1109/RADAR.2016.7485274

DO - 10.1109/RADAR.2016.7485274

M3 - Conference contribution

AN - SCOPUS:84978229490

T3 - 2016 IEEE Radar Conference, RadarConf 2016

BT - 2016 IEEE Radar Conference, RadarConf 2016

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2016 IEEE Radar Conference, RadarConf 2016

Y2 - 2 May 2016 through 6 May 2016

ER -

Direction of arrival by non-coherent arrays

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