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

doi:10.1109/LSP.2021.3106150

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

2021-01-01

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DOI：10.1109/LSP.2021.3106150

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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.

Keyword:

Quaternions

Computational modeling

Direction-of-arrival estimation

Signal processing algorithms

Estimation

Covariance matrices

Additive noise

Quaternion

direction-of-arrival estimation

acoustic vector sensor

orthogonal propagator method

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

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