Structured Tensor Reconstruction for Coherent DOA Estimation

Hang Zheng, Chengwei Zhou, Zhiguo Shi, Yujie Gu

Research output: Contribution to journalArticlepeer-review

28 Scopus citations

Abstract

Existing tensor-based coherent direction-of-arrival (DOA) estimation methods adopting spatial smoothing to decorrelate the coherent tensor statistics usually lead to a poor decorrelation performance. In this letter, we propose a structured tensor reconstruction method for two-dimensional coherent DOA estimation, which then avoids the inefficient spatial smoothing. In particular, after investigating the structural property of the four-dimensional incoherent covariance tensor, we propose a tensorial Hermitian Toeplitz mapping rule to reconstruct a structured covariance tensor from the rank-deficient coherent covariance tensor statistics. It is theoretically proved that, the reconstructed covariance tensor admits a decorrelated canonical polyadic model with a tensorial Hermitian Toeplitz structure, whose decomposition ensures a closed-form coherent DOA estimation. The effectiveness of the proposed method is verified by simulations.

Original languageEnglish
Pages (from-to)1634-1638
Number of pages5
JournalIEEE Signal Processing Letters
Volume29
DOIs
StatePublished - 2022
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 1994-2012 IEEE.

Funding

The work of Hang Zheng, Chengwei Zhou, and Zhiguo Shi was supported in part by the National Natural Science Foundation of China under Grants 61901413 and U21A20456, in part by the Research Project of the State Key Laboratory of Industrial Control Technology under Grant ICT2022A02, and in part by the Zhejiang University Education Foundation Qizhen Scholar Foundation, and the 5G Open Laboratory of Hangzhou Future Sci-Tech City.

FundersFunder number
Hangzhou Future Sci-Tech City
Zhejiang University Education Foundation Qizhen Scholar Foundation
National Natural Science Foundation of China61901413, U21A20456
State Key Laboratory of Industrial Control TechnologyICT2022A02

    Keywords

    • Coherent DOA estimation
    • tensor decorrelation
    • tensor reconstruction
    • tensorial Hermitian Toeplitz mapping

    Fingerprint

    Dive into the research topics of 'Structured Tensor Reconstruction for Coherent DOA Estimation'. Together they form a unique fingerprint.

    Cite this