EM-Esprit Algorithm for Direction Finding with Nonuniform Arrays

Kassis, Carine El; Picheral, José; Mokbel, Chafic

doi:10.1109/ssp.2007.4301299

Cited by 3 publications

(2 citation statements)

References 8 publications

(12 reference statements)

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“…In [11], the performance of different direction finding algorithms for the circular arrays is investigated. In general, using a non-uniform array may improve the performance of direction finding [12]. There have been several promising attempts to extend the concept of various direction finding algorithms to arbitrary non-uniform array geometries [13][14][15].…”

Section: Introductionmentioning

confidence: 99%

COMPREHENSIVE STUDY OF NON-UNIFORM CIRCULAR ARRAY INTERFEROMETER IN A REAL TIME BROADBAND 3-DIMENSIONAL DIRECTION FINDER (2-12 GHz)

Ebrahimi-Ganjeh¹,

Soltanian²,

Salarpour³

et al. 2011

PIER C

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A comprehensive study is performed to investigate the performance of a non-uniform circular array interferometer in a real time 3-dimensional direction finder. The angular range of view is supposed to be 65 degrees vertically and 120 degrees horizontally, which is suitable for airborne applications. Interferometer is designed to work in the S, C and X bands. Regarding optimization process, the interferometer employs an eight element non-uniform circular array along with a phase reference antenna at the center of the array. Several quantities and parameters are studied, e.g., frequency behavior, origins of phase measurement errors, Signal to Noise Ratio (SNR) effect on phase measurement, and the effect of the phase measurement error on direction finding performance. The proposed interferometer is able to tolerate at least 35 degrees of phase measurement error. Radius of the array is determined to be 22 cm in order to have good frequency response in the desired frequency band. Both Generalized Regression Neural Network (GRNN) and Maximum Likelihood (ML) estimation are applied for mapping the phase relationships between antennas to the Direction of Arrival (DoA). The results of two methods are well matched, and therefore validation is performed.

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Section: Introductionmentioning

confidence: 99%

COMPREHENSIVE STUDY OF NON-UNIFORM CIRCULAR ARRAY INTERFEROMETER IN A REAL TIME BROADBAND 3-DIMENSIONAL DIRECTION FINDER (2-12 GHz)

Ebrahimi-Ganjeh¹,

Soltanian²,

Salarpour³

et al. 2011

PIER C

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“…Friedlander [3] proposes a sector-dependent interpolation followed by the conventional root-MUSIC. In [4], the authors propose the Expectation-Maximization (EM) algorithm in order to interpolate the observed data on a Author's personal copy VULA using the noise-free model, followed by ESPRIT. Another method is proposed in [5], where the authors exploit the Toeplitz properties of the covariance matrix.…”

Section: Introductionmentioning

confidence: 99%

Advantages of nonuniform arrays using root-MUSIC

2010

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This article appeared in a journal published by Elsevier. The attached copy is furnished to the author for internal non-commercial research and education use, including for instruction at the authors institution and sharing with colleagues.Other uses, including reproduction and distribution, or selling or licensing copies, or posting to personal, institutional or third party websites are prohibited.In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: http://www.elsevier.com/copyright

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DOA Estimation With Non-Uniform Linear Arrays: A Phase-Difference Projection Approach

Chen

Ballal

Al-Naffouri

2021

IEEE Wireless Commun. Lett.

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Phase wrapping is a major problem in directionof-arrival (DOA) estimation using phase-difference observations. For a sensor pair with an inter-sensor spacing greater than half of the wavelength (λ/2) of the signal, phase wrapping occurs at certain DOA angles leading to phase-difference ambiguities. Existing phase unwrapping methods exploit either frequency or spatial diversity. These techniques work by imposing restrictions on the utilized frequencies or the receiver array geometry. In addition to sensitivity to noise and calibration errors, these methods may also have high computational complexity. We propose a grid-less phase-difference projection (PDP) DOA algorithm to overcome these issues. The concept of wrapped phased-difference pattern (WPDP) is introduced, which allows the proposed algorithm to compute most of the parameters required for DOA estimation in an offline manner, hence resulting in a superior computational speed in realtime. Simulation results demonstrate the excellent performance of the proposed algorithm, both in terms of accuracy and speed.

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EM-Esprit Algorithm for Direction Finding with Nonuniform Arrays

Cited by 3 publications

References 8 publications

COMPREHENSIVE STUDY OF NON-UNIFORM CIRCULAR ARRAY INTERFEROMETER IN A REAL TIME BROADBAND 3-DIMENSIONAL DIRECTION FINDER (2-12 GHz)

COMPREHENSIVE STUDY OF NON-UNIFORM CIRCULAR ARRAY INTERFEROMETER IN A REAL TIME BROADBAND 3-DIMENSIONAL DIRECTION FINDER (2-12 GHz)

Advantages of nonuniform arrays using root-MUSIC

DOA Estimation With Non-Uniform Linear Arrays: A Phase-Difference Projection Approach

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