R/I-Capon for Low-Complexity Direction of Arrival Estimation with Real-Valued Computation

Xiang Li; Feng Gang Yan; Shuai Liu; Ming Jin

doi:10.1007/978-3-030-19153-5_50

R/I-Capon for Low-Complexity Direction of Arrival Estimation with Real-Valued Computation

Xiang Li
, Feng Gang Yan^*
, Shuai Liu
, Ming Jin

^*Corresponding author for this work

School of Information Science and Engineering, Harbin Institute of Technology Weihai

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The problem of low-complexity direction-of-arrival (DOA) estimation without knowing sources number is addressed. Real/imaginary-part of array covariance matrix (ACM) can be remodeled as a whole ACM of signal received by virtual array aimed at fast DOA estimate. Based on such a virtual signal model, a novel real/imaginary-part Capon (R/I-Capon) involving the inverse of only the real/imaginary-part of the estimated ACM (EACM) is derived. In-depth insights are provided to prove that the rank of real/imaginary-part of EACM is always equal or greater than that of whole EACM, which indicates that R/I-Capon exceeds conventional Capon under the circumstance with small numbers of snapshots. Further discussion indicates that R/I-Capon is also capable of decreasing about $$75\%$$ complexity with any array structures, which shows an enforcement advantage over state-of-the-art prototype methods. Simulations are finally conducted to verify theoretical analysis and to show practicability of proposed algorithm.

Original language	English
Title of host publication	Wireless and Satellite Systems - 10th EAI International Conference, WiSATS 2019, Proceedings
Editors	Min Jia, Qing Guo, Weixiao Meng
Publisher	Springer Verlag
Pages	489-497
Number of pages	9
ISBN (Print)	9783030191528
DOIs	https://doi.org/10.1007/978-3-030-19153-5_50
State	Published - 2019
Externally published	Yes
Event	10th EAI International Conference on Wireless and Satellite Systems, WiSATS 2019 - Harbin, China Duration: 12 Jan 2019 → 13 Jan 2019

Publication series

Name	Lecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering, LNICST
Volume	280
ISSN (Print)	1867-8211

Conference

Conference	10th EAI International Conference on Wireless and Satellite Systems, WiSATS 2019
Country/Territory	China
City	Harbin
Period	12/01/19 → 13/01/19

Keywords

Cumulative multiplication
Cumulative sum
Intersection
Orthogonal projection
Singular value decomposition

Access to Document

10.1007/978-3-030-19153-5_50

Cite this

Li, X., Yan, F. G., Liu, S., & Jin, M. (2019). R/I-Capon for Low-Complexity Direction of Arrival Estimation with Real-Valued Computation. In M. Jia, Q. Guo, & W. Meng (Eds.), Wireless and Satellite Systems - 10th EAI International Conference, WiSATS 2019, Proceedings (pp. 489-497). (Lecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering, LNICST; Vol. 280). Springer Verlag. https://doi.org/10.1007/978-3-030-19153-5_50

Li, Xiang ; Yan, Feng Gang ; Liu, Shuai et al. / R/I-Capon for Low-Complexity Direction of Arrival Estimation with Real-Valued Computation. Wireless and Satellite Systems - 10th EAI International Conference, WiSATS 2019, Proceedings. editor / Min Jia ; Qing Guo ; Weixiao Meng. Springer Verlag, 2019. pp. 489-497 (Lecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering, LNICST).

@inproceedings{1dffdd54ebad46a4887011af480d87de,

title = "R/I-Capon for Low-Complexity Direction of Arrival Estimation with Real-Valued Computation",

abstract = "The problem of low-complexity direction-of-arrival (DOA) estimation without knowing sources number is addressed. Real/imaginary-part of array covariance matrix (ACM) can be remodeled as a whole ACM of signal received by virtual array aimed at fast DOA estimate. Based on such a virtual signal model, a novel real/imaginary-part Capon (R/I-Capon) involving the inverse of only the real/imaginary-part of the estimated ACM (EACM) is derived. In-depth insights are provided to prove that the rank of real/imaginary-part of EACM is always equal or greater than that of whole EACM, which indicates that R/I-Capon exceeds conventional Capon under the circumstance with small numbers of snapshots. Further discussion indicates that R/I-Capon is also capable of decreasing about \$\$75\textbackslash{}\%\$\$ complexity with any array structures, which shows an enforcement advantage over state-of-the-art prototype methods. Simulations are finally conducted to verify theoretical analysis and to show practicability of proposed algorithm.",

keywords = "Cumulative multiplication, Cumulative sum, Intersection, Orthogonal projection, Singular value decomposition",

author = "Xiang Li and Yan, \{Feng Gang\} and Shuai Liu and Ming Jin",

note = "Publisher Copyright: {\textcopyright} 2019, ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering.; 10th EAI International Conference on Wireless and Satellite Systems, WiSATS 2019 ; Conference date: 12-01-2019 Through 13-01-2019",

year = "2019",

doi = "10.1007/978-3-030-19153-5\_50",

language = "英语",

isbn = "9783030191528",

series = "Lecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering, LNICST",

publisher = "Springer Verlag",

pages = "489--497",

editor = "Min Jia and Qing Guo and Weixiao Meng",

booktitle = "Wireless and Satellite Systems - 10th EAI International Conference, WiSATS 2019, Proceedings",

address = "德国",

}

Li, X, Yan, FG , Liu, S & Jin, M 2019, R/I-Capon for Low-Complexity Direction of Arrival Estimation with Real-Valued Computation. in M Jia, Q Guo & W Meng (eds), Wireless and Satellite Systems - 10th EAI International Conference, WiSATS 2019, Proceedings. Lecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering, LNICST, vol. 280, Springer Verlag, pp. 489-497, 10th EAI International Conference on Wireless and Satellite Systems, WiSATS 2019, Harbin, China, 12/01/19. https://doi.org/10.1007/978-3-030-19153-5_50

R/I-Capon for Low-Complexity Direction of Arrival Estimation with Real-Valued Computation. / Li, Xiang; Yan, Feng Gang ; Liu, Shuai et al.
Wireless and Satellite Systems - 10th EAI International Conference, WiSATS 2019, Proceedings. ed. / Min Jia; Qing Guo; Weixiao Meng. Springer Verlag, 2019. p. 489-497 (Lecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering, LNICST; Vol. 280).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - R/I-Capon for Low-Complexity Direction of Arrival Estimation with Real-Valued Computation

AU - Li, Xiang

AU - Yan, Feng Gang

AU - Liu, Shuai

AU - Jin, Ming

PY - 2019

Y1 - 2019

N2 - The problem of low-complexity direction-of-arrival (DOA) estimation without knowing sources number is addressed. Real/imaginary-part of array covariance matrix (ACM) can be remodeled as a whole ACM of signal received by virtual array aimed at fast DOA estimate. Based on such a virtual signal model, a novel real/imaginary-part Capon (R/I-Capon) involving the inverse of only the real/imaginary-part of the estimated ACM (EACM) is derived. In-depth insights are provided to prove that the rank of real/imaginary-part of EACM is always equal or greater than that of whole EACM, which indicates that R/I-Capon exceeds conventional Capon under the circumstance with small numbers of snapshots. Further discussion indicates that R/I-Capon is also capable of decreasing about $$75\%$$ complexity with any array structures, which shows an enforcement advantage over state-of-the-art prototype methods. Simulations are finally conducted to verify theoretical analysis and to show practicability of proposed algorithm.

AB - The problem of low-complexity direction-of-arrival (DOA) estimation without knowing sources number is addressed. Real/imaginary-part of array covariance matrix (ACM) can be remodeled as a whole ACM of signal received by virtual array aimed at fast DOA estimate. Based on such a virtual signal model, a novel real/imaginary-part Capon (R/I-Capon) involving the inverse of only the real/imaginary-part of the estimated ACM (EACM) is derived. In-depth insights are provided to prove that the rank of real/imaginary-part of EACM is always equal or greater than that of whole EACM, which indicates that R/I-Capon exceeds conventional Capon under the circumstance with small numbers of snapshots. Further discussion indicates that R/I-Capon is also capable of decreasing about $$75\%$$ complexity with any array structures, which shows an enforcement advantage over state-of-the-art prototype methods. Simulations are finally conducted to verify theoretical analysis and to show practicability of proposed algorithm.

KW - Cumulative multiplication

KW - Cumulative sum

KW - Intersection

KW - Orthogonal projection

KW - Singular value decomposition

UR - https://www.scopus.com/pages/publications/85065922786

U2 - 10.1007/978-3-030-19153-5_50

DO - 10.1007/978-3-030-19153-5_50

M3 - 会议稿件

AN - SCOPUS:85065922786

SN - 9783030191528

T3 - Lecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering, LNICST

SP - 489

EP - 497

BT - Wireless and Satellite Systems - 10th EAI International Conference, WiSATS 2019, Proceedings

A2 - Jia, Min

A2 - Guo, Qing

A2 - Meng, Weixiao

PB - Springer Verlag

T2 - 10th EAI International Conference on Wireless and Satellite Systems, WiSATS 2019

Y2 - 12 January 2019 through 13 January 2019

ER -

Li X, Yan FG , Liu S , Jin M. R/I-Capon for Low-Complexity Direction of Arrival Estimation with Real-Valued Computation. In Jia M, Guo Q, Meng W, editors, Wireless and Satellite Systems - 10th EAI International Conference, WiSATS 2019, Proceedings. Springer Verlag. 2019. p. 489-497. (Lecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering, LNICST). doi: 10.1007/978-3-030-19153-5_50

R/I-Capon for Low-Complexity Direction of Arrival Estimation with Real-Valued Computation

Abstract

Publication series

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Keywords

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