Cramér–Rao bounds of angle-of-arrival and polarisation estimation for various triads

Xu, Zixin; Yuan, Xin

doi:10.1049/iet-map.2012.0030

Cited by 7 publications

(6 citation statements)

References 24 publications

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“…Besides, an "incomplete" EMVS such as tripole and crossed dipole comprises only a subset of the above-mentioned six EMVS and is of great interest in some practical applications [28, 29, 31-33, 36, 38]. Nehorai and Paldi have worked out the Cramer-Rao bound (CRB) on DOA estimation of stochastic sources [2], and Yuan has derived the closed-form CRB on DOA and polarization estimation of six-component non-collocating and three-component collocating EMVS [6,30].…”

Section: Electromagnetic Vector Sensormentioning

confidence: 99%

Mutual Coupling Calibration for Electromagnetic Vector Sensor

Wang

Wang²,

Zeng³

2013

PIER B

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Abstract-A subspace self-calibration ESPRIT algorithm for mutual coupling across an electromagnetic vector sensor is proposed in this paper. By introducing an auxiliary array element, the mutual coupling is calibrated. The whole array's mutual coupling matrix can be obtained simultaneously. A mathematic model for mutual coupling across the six collocated antennas of an electromagnetic vector sensor is established. And the solution of mutual coupling matrix was transformed into the solution of several matrix elements. The CramerRao Bound (CRB) is also derived in the end of this paper to verify the efficacy of the proposed algorithm. The simulation results demonstrate that this approach is correct and effective.

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Section: Electromagnetic Vector Sensormentioning

confidence: 99%

Mutual Coupling Calibration for Electromagnetic Vector Sensor

Wang

Wang²,

Zeng³

2013

PIER B

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“…In the meantime, the electromagnetic-vector-sensor (EMVS) [9] has received extensive attention in array signal processing recently as well as other polarization antenna arrays [10][11][12][13][14][15][16]. EMVS can not only provide the DOA estimation of the signal, but can also give the polarization information.…”

Section: Introductionmentioning

confidence: 99%

A single triangular SS-EMVS aided high-accuracy DOA estimation using a multi-scale L-shaped sparse array

Ding¹,

Yang²,

Chen³

et al. 2019

EURASIP J. Adv. Signal Process.

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We propose a new array configuration composed of multi-scale scalar arrays and a single triangular spatially spread electromagnetic-vector-sensor (SS-EMVS) for high-accuracy two-dimensional (2D) direction-of-arrival (DOA) estimation. Two scalar arrays are placed along x-axis and y-axis, respectively, each array consists of two uniform linear arrays (ULAs), and these two ULAs have different inter-element spacings. In this manner, these two scalar arrays form a multi-scale L-shaped array. The two arms of this L-shaped scalar array are connected by a six-component SS-EMVS, which is composed of a spatially spread dipole-triad plus a spatially spread loop-triad. All the inter-element spacings in our proposed array can be larger than a half-wavelength of the incident source, thus to form a sparse array to mitigate the mutual coupling across antennas. In the proposed DOA estimation algorithm, we perform the vector-cross-product algorithm to the SS-EMVS to obtain a set of low-accuracy but unambiguous direction cosine estimation as a reference; we then impose estimation of signal parameters via rotation invariant technique (ESPRIT) algorithm to the two scalar arrays to get two sets of high-accuracy but cyclically ambiguous direction cosine estimations. Finally, the coarse estimation is used to disambiguate the fine but ambiguous estimations progressively and therefore a multiple-order disambiguation algorithm is developed. The proposed array enjoys the superiority of low redundancy and low mutual coupling. Moreover, the thresholds of the inter-sensor spacings utilized in the proposed array are also analyzed. Simulation results validate the performance of the proposed array geometry.

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“…A complete electromagnetic vector sensor (EMVS) is with six components to provide measurements of all electromagnetic dimensions [1]. Besides, there are various incomplete EMVSs such as co‐centred crossed‐dipole [2], tripole [3, 4], and other compositions of dipoles/loops [5, 6]. Unless otherwise specified, we will refer to the complete EMVS, crossed‐dipole, and tripole throughout the paper as EMVS, dual‐dipole, and tri‐dipole, respectively.…”

Section: Introductionmentioning

confidence: 99%

“…In terms of the CRB, the closed‐form expressions for arbitrary PSAs under the stochastic signal assumption and the deterministic signal assumption were given in [1, 19], respectively. For various Co‐PSAs and SS‐PSAs, the CRBs for the pure‐tune signal case were provided in [5, 6, 9], respectively.…”

Section: Introductionmentioning

confidence: 99%