Vector-Sensor Array Processing for Electromagnetic Source Localization

Arye Nehorai; Eytan Paldi

doi:10.1109/78.275610

Vector-Sensor Array Processing for Electromagnetic Source Localization

Arye Nehorai, Eytan Paldi

Research output: Contribution to journal › Article › peer-review

634 Scopus citations

Abstract

We present a new approach for localizing electro-magnetic sources using sensors where the output of each is a vector consisting of the complete six electric and magnetic field components. Two types of source transmissions are considered: 1) single signal transmission (SST), and 2) dual signal transmission (DST). The model is given in terms of several parameters, including the wave direction of arrival (DOA) and state of polarization. A compact expression is derived for the Cramér-Rao bound (CRB) on the estimation errors of these parameters for the multisource multi-vector-sensor model. Quality measures including mean-square angular error (MSAE) and covariance of vector angular error (CVAE) are introduced, and their lower bounds are derived. The advantage of using vector sensors is highlighted by explicit evaluation of the MSAE and CVAE bounds for source localization with a single vector sensor. A simple algorithm for estimating the source DOA with this sensor is presented along with its statistical performance analysis.

Original language	English
Pages (from-to)	376-398
Number of pages	23
Journal	IEEE Transactions on Signal Processing
Volume	42
Issue number	2
DOIs	https://doi.org/10.1109/78.275610
State	Published - Feb 1994

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title = "Vector-Sensor Array Processing for Electromagnetic Source Localization",

abstract = "We present a new approach for localizing electro-magnetic sources using sensors where the output of each is a vector consisting of the complete six electric and magnetic field components. Two types of source transmissions are considered: 1) single signal transmission (SST), and 2) dual signal transmission (DST). The model is given in terms of several parameters, including the wave direction of arrival (DOA) and state of polarization. A compact expression is derived for the Cram{\'e}r-Rao bound (CRB) on the estimation errors of these parameters for the multisource multi-vector-sensor model. Quality measures including mean-square angular error (MSAE) and covariance of vector angular error (CVAE) are introduced, and their lower bounds are derived. The advantage of using vector sensors is highlighted by explicit evaluation of the MSAE and CVAE bounds for source localization with a single vector sensor. A simple algorithm for estimating the source DOA with this sensor is presented along with its statistical performance analysis.",

author = "Arye Nehorai and Eytan Paldi",

note = "Funding Information: Manuscript received June 13, 1992; revised January 15, 1993. The associate editor coordinating the review of this paper and approving it for publication was Prof. Daniel Fuhrmann. This work was supported by the Air Force Office of Scientific Research under Grant AFOSR-90-10164, the Office of Naval Research under Grant “14-91-J-1298, the National Science Foundation under Grant MIP-9122753, and the HTI Fellowship.",

year = "1994",

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AU - Paldi, Eytan

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PY - 1994/2

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N2 - We present a new approach for localizing electro-magnetic sources using sensors where the output of each is a vector consisting of the complete six electric and magnetic field components. Two types of source transmissions are considered: 1) single signal transmission (SST), and 2) dual signal transmission (DST). The model is given in terms of several parameters, including the wave direction of arrival (DOA) and state of polarization. A compact expression is derived for the Cramér-Rao bound (CRB) on the estimation errors of these parameters for the multisource multi-vector-sensor model. Quality measures including mean-square angular error (MSAE) and covariance of vector angular error (CVAE) are introduced, and their lower bounds are derived. The advantage of using vector sensors is highlighted by explicit evaluation of the MSAE and CVAE bounds for source localization with a single vector sensor. A simple algorithm for estimating the source DOA with this sensor is presented along with its statistical performance analysis.

AB - We present a new approach for localizing electro-magnetic sources using sensors where the output of each is a vector consisting of the complete six electric and magnetic field components. Two types of source transmissions are considered: 1) single signal transmission (SST), and 2) dual signal transmission (DST). The model is given in terms of several parameters, including the wave direction of arrival (DOA) and state of polarization. A compact expression is derived for the Cramér-Rao bound (CRB) on the estimation errors of these parameters for the multisource multi-vector-sensor model. Quality measures including mean-square angular error (MSAE) and covariance of vector angular error (CVAE) are introduced, and their lower bounds are derived. The advantage of using vector sensors is highlighted by explicit evaluation of the MSAE and CVAE bounds for source localization with a single vector sensor. A simple algorithm for estimating the source DOA with this sensor is presented along with its statistical performance analysis.

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Vector-Sensor Array Processing for Electromagnetic Source Localization

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