Computationally Efficient Two-Dimensional DOA Estimation Algorithm Based on Quaternion Theory

• Published in: IEEE signal processing letters Vol. 28; pp. 1764 - 1768
• Main Authors: Lou, Yi, Gang, Qiao, Qu, Xinghao, Zhou, Feng
• Format: Journal Article
• Language: English
• Published: New York IEEE 2021; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: acoustic vector sensor; Additive noise; Algorithms; Angular resolution; Computational efficiency; Computational modeling; Covariance matrices; Cross correlation; Direction of arrival; Direction-of-arrival estimation; Estimation; orthogonal propagator method; Quaternion; Quaternions; Signal processing algorithms
• ISSN: 1070-9908; 1558-2361
• DOI: 10.1109/LSP.2021.3106150

In this letter, we present a novel computationally efficient DOA estimation algorithm based on quaternion theory for two-dimensional (2-D) direction-of-arrival (DOA) estimation. An orthogonal propagator method based on the cross-correlation of the quaternion models (OPM-CQM) is developed to alleviate the computation burden. To eliminate the effect of additive noise, we construct two quaternion-based signal models judiciously. Then, we obtain the statistics of the observed signals by performing the cross-correlation between the quaternion models. Meanwhile, the additive noise is eliminated without introducing other denoising methods. Moreover, the compact modeling approach based on quaternions provides a significant advantage to OPM-CQM in terms of computational effort. Simulations demonstrate that the proposed algorithm offers performance superiority in angular resolution compared with the non-quaternion schemes.