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Joint angle estimation and signal reconstruction for coherently distributed sources in massive MIMO systems based on 2D unitary ESPRIT

Joint angle estimation and signal reconstruction for coherently distributed sources in massive MIMO systems based on 2D unitary ESPRIT
Joint angle estimation and signal reconstruction for coherently distributed sources in massive MIMO systems based on 2D unitary ESPRIT
We consider the challenging problem of joint angle estimation and signal reconstruction for coherently distributed (CD) sources in massive multiple-input-multiple-output (MIMO) systems employing uniform rectangular arrays. A simplified method inspired by the two-dimensional (2-D) unitary estimating signal parameters via rotational invariance technique (ESPRIT) is proposed to estimate both the central angle and the angular spread without the need for a spectrum peak search and covariance matrix matching process. We first approximate the 2-D generalized steering vector expressed as a Schur-Hadamard product by a pair of one-dimensional generalized steering vectors. Then, we obtain two approximate rotational invariance relationships with respect to the central angles of the CD sources using a linear approximation of the individual generalized steering vectors of the azimuth and elevation subarrays. With the aid of this approximate decomposition, a new unitary ESPRIT-inspired algorithm is conceived to automatically pair the 2-D central angle estimations and a novel method capable of bypassing the high-complexity search process is proposed for angular spread estimation. Furthermore, the closed-form approximate Cramer-Rao lower bounds are derived for the estimators of both the central angles and the angular spreads. The complexity of the proposed estimator is also analyzed. Additionally, the orthogonality of the generalized steering vectors is proved, which enables us to propose a low-complexity method to reconstruct the CD signal matrix by replacing the inversion operator with the conjugate transpose operator. The simulation results demonstrate the efficiency of our proposed approach.
9632-9646
Zhou, Yuan
3959680e-286d-4f91-a6fa-13872d2eb186
Fei, Zesong
1523e506-ebec-420d-b491-da48dff3fb2c
Yang, Shaoshi
2d6e3926-97e9-410b-90d2-28d02e5183a3
Kuang, Jingming
4987cb40-119f-4bbe-a9be-25aadc9cb8c4
Chen, Sheng
9310a111-f79a-48b8-98c7-383ca93cbb80
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1
Zhou, Yuan
3959680e-286d-4f91-a6fa-13872d2eb186
Fei, Zesong
1523e506-ebec-420d-b491-da48dff3fb2c
Yang, Shaoshi
2d6e3926-97e9-410b-90d2-28d02e5183a3
Kuang, Jingming
4987cb40-119f-4bbe-a9be-25aadc9cb8c4
Chen, Sheng
9310a111-f79a-48b8-98c7-383ca93cbb80
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1

Zhou, Yuan, Fei, Zesong, Yang, Shaoshi, Kuang, Jingming, Chen, Sheng and Hanzo, Lajos (2017) Joint angle estimation and signal reconstruction for coherently distributed sources in massive MIMO systems based on 2D unitary ESPRIT. IEEE Access, 5, 9632-9646. (doi:10.1109/ACCESS.2017.2707557).

Record type: Article

Abstract

We consider the challenging problem of joint angle estimation and signal reconstruction for coherently distributed (CD) sources in massive multiple-input-multiple-output (MIMO) systems employing uniform rectangular arrays. A simplified method inspired by the two-dimensional (2-D) unitary estimating signal parameters via rotational invariance technique (ESPRIT) is proposed to estimate both the central angle and the angular spread without the need for a spectrum peak search and covariance matrix matching process. We first approximate the 2-D generalized steering vector expressed as a Schur-Hadamard product by a pair of one-dimensional generalized steering vectors. Then, we obtain two approximate rotational invariance relationships with respect to the central angles of the CD sources using a linear approximation of the individual generalized steering vectors of the azimuth and elevation subarrays. With the aid of this approximate decomposition, a new unitary ESPRIT-inspired algorithm is conceived to automatically pair the 2-D central angle estimations and a novel method capable of bypassing the high-complexity search process is proposed for angular spread estimation. Furthermore, the closed-form approximate Cramer-Rao lower bounds are derived for the estimators of both the central angles and the angular spreads. The complexity of the proposed estimator is also analyzed. Additionally, the orthogonality of the generalized steering vectors is proved, which enables us to propose a low-complexity method to reconstruct the CD signal matrix by replacing the inversion operator with the conjugate transpose operator. The simulation results demonstrate the efficiency of our proposed approach.

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YuanZhou_2D_c - Accepted Manuscript
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More information

Accepted/In Press date: 23 April 2017
Published date: 28 June 2017
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 411714
URI: http://eprints.soton.ac.uk/id/eprint/411714
PURE UUID: 93a65d60-30e0-41e5-954f-1f98d97e13b0
ORCID for Lajos Hanzo: ORCID iD orcid.org/0000-0002-2636-5214

Catalogue record

Date deposited: 22 Jun 2017 16:31
Last modified: 07 Oct 2020 01:33

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