Localization of coherent signals without source number knowledge in unknown spatially correlated Gaussian noise

Cheng Qian; Lei Huang; Yuhang Xiao; H. C. So

doi:10.1016/j.sigpro.2014.12.005

Localization of coherent signals without source number knowledge in unknown spatially correlated Gaussian noise

Cheng Qian, Lei Huang, Yuhang Xiao, H. C. So

Electrical and Computer Engineering

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

15 Scopus citations

Abstract

A new direction-of-arrival estimator for coherent signals in spatially correlated noise is devised in this paper. By constructing a set of fourth-order cumulant based Toeplitz matrices, the coherent signals can be decorrelated. Moreover, by utilizing the joint diagonalization structure of these Toeplitz matrices, a new cost function that does not require any a priori information of the source number is developed. Numerical examples are provided to demonstrate the effectiveness of the proposed approach.

Original language	English (US)
Pages (from-to)	170-178
Number of pages	9
Journal	Signal Processing
Volume	111
DOIs	https://doi.org/10.1016/j.sigpro.2014.12.005
State	Published - Jun 2015

Bibliographical note

Funding Information:
The work described in this paper was in part supported by the NSFC/RGC Joint Research Scheme sponsored by the Research Grants Council of Hong Kong and the National Natural Science Foundation of China (Project No.: N-CityU 104/11 , 61110229/61161160564 ), by the National Natural Science under Grant 61222106 and Grant 61171187 and by the Shenzhen Kongqie Talent Program under Grant YFZZ20111013 .

Publisher Copyright:
© 2015 Published by Elsevier B.V.

Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.

Keywords

Coherent signals
Direction-of-arrival (DOA) estimation
Fourth-order cumulant
Joint diagonalization
Toeplitz matrix

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title = "Localization of coherent signals without source number knowledge in unknown spatially correlated Gaussian noise",

abstract = "A new direction-of-arrival estimator for coherent signals in spatially correlated noise is devised in this paper. By constructing a set of fourth-order cumulant based Toeplitz matrices, the coherent signals can be decorrelated. Moreover, by utilizing the joint diagonalization structure of these Toeplitz matrices, a new cost function that does not require any a priori information of the source number is developed. Numerical examples are provided to demonstrate the effectiveness of the proposed approach.",

keywords = "Coherent signals, Direction-of-arrival (DOA) estimation, Fourth-order cumulant, Joint diagonalization, Toeplitz matrix",

author = "Cheng Qian and Lei Huang and Yuhang Xiao and So, {H. C.}",

note = "Funding Information: The work described in this paper was in part supported by the NSFC/RGC Joint Research Scheme sponsored by the Research Grants Council of Hong Kong and the National Natural Science Foundation of China (Project No.: N-CityU 104/11 , 61110229/61161160564 ), by the National Natural Science under Grant 61222106 and Grant 61171187 and by the Shenzhen Kongqie Talent Program under Grant YFZZ20111013 . Publisher Copyright: {\textcopyright} 2015 Published by Elsevier B.V. Copyright: Copyright 2015 Elsevier B.V., All rights reserved.",

year = "2015",

month = jun,

doi = "10.1016/j.sigpro.2014.12.005",

language = "English (US)",

volume = "111",

pages = "170--178",

journal = "Signal Processing",

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publisher = "Elsevier",

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T1 - Localization of coherent signals without source number knowledge in unknown spatially correlated Gaussian noise

AU - Qian, Cheng

AU - Huang, Lei

AU - Xiao, Yuhang

AU - So, H. C.

N1 - Funding Information: The work described in this paper was in part supported by the NSFC/RGC Joint Research Scheme sponsored by the Research Grants Council of Hong Kong and the National Natural Science Foundation of China (Project No.: N-CityU 104/11 , 61110229/61161160564 ), by the National Natural Science under Grant 61222106 and Grant 61171187 and by the Shenzhen Kongqie Talent Program under Grant YFZZ20111013 . Publisher Copyright: © 2015 Published by Elsevier B.V. Copyright: Copyright 2015 Elsevier B.V., All rights reserved.

PY - 2015/6

Y1 - 2015/6

N2 - A new direction-of-arrival estimator for coherent signals in spatially correlated noise is devised in this paper. By constructing a set of fourth-order cumulant based Toeplitz matrices, the coherent signals can be decorrelated. Moreover, by utilizing the joint diagonalization structure of these Toeplitz matrices, a new cost function that does not require any a priori information of the source number is developed. Numerical examples are provided to demonstrate the effectiveness of the proposed approach.

AB - A new direction-of-arrival estimator for coherent signals in spatially correlated noise is devised in this paper. By constructing a set of fourth-order cumulant based Toeplitz matrices, the coherent signals can be decorrelated. Moreover, by utilizing the joint diagonalization structure of these Toeplitz matrices, a new cost function that does not require any a priori information of the source number is developed. Numerical examples are provided to demonstrate the effectiveness of the proposed approach.

KW - Coherent signals

KW - Direction-of-arrival (DOA) estimation

KW - Fourth-order cumulant

KW - Joint diagonalization

KW - Toeplitz matrix

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VL - 111

SP - 170

EP - 178

JO - Signal Processing

JF - Signal Processing

SN - 0165-1684

ER -

Localization of coherent signals without source number knowledge in unknown spatially correlated Gaussian noise

Abstract

Bibliographical note

Keywords

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