Low-Complexity DOA Estimation Algorithm based on Real-Valued Sparse Bayesian Learning

• Published in: Circuits, systems, and signal processing Vol. 43; no. 7; pp. 4319 - 4338
• Main Authors: Wang, Guan, Kang, Yong, Wang, Hui
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.07.2024; Springer Nature B.V
• Subjects: Accuracy; Algorithms; Bayesian analysis; Circuits and Systems; Complexity; Distribution functions; Electrical Engineering; Electronics and Microelectronics; Engineering; Instrumentation; Iterative methods; Machine learning; Matrices (mathematics); Probability distribution functions; Signal processing; Signal,Image and Speech Processing; Steering; DOA estimation; Immobile points; Dynamic grid; Real-valued conversion
• ISSN: 0278-081X; 1531-5878
• DOI: 10.1007/s00034-024-02649-7

The present DOA estimation approach based on sparse Bayesian learning has two major shortcomings: high algorithm complexity and large estimate errors. These two flaws are mostly the result of an excessive number of complex-valued matrix inversion operations and incorrect grid partitioning in the EM stage of sparse Bayesian learning (SBL). To overcome the aforementioned issues, we propose a three-procedure, low-complexity DOA estimate technique based on SBL. First, the roots of the estimated covariance are used to complete the real-valued conversion and generate the received signal matrix, which includes the virtual array steering vector. Second, a novel iterative method for immobile spots is devised using the probability distribution function of the noise variance. Finally, iterations are completed utilizing dynamic grid approaches to improve DOA estimation accuracy. The simulation findings reveal that the proposed technique significantly speeds up DOA estimation and, to a lesser extent, improves estimation accuracy.