NDLI: Real-valued off-grid DOA estimation based on fourth-order cumulants using sparse Bayesian learning in spatial coloured noise

Content Provider	IET Digital Library
Author	Pan, Meihong Zhang, Gong Hu, Zhentao Zheng, Qin
Abstract	In this study, the authors address the problem of off-grid sparsity-inducing direction-of-arrival (DOA) estimation in the context of real-valued fourth-order cumulants (FOC) in the presence of spatially coloured noise. Firstly, a selection matrix is constructed to eliminate the redundant data of FOC and rearrange the data in the de-redundant FOC matrix to facilitate real processing. Then a new virtual overcomplete dictionary is constructed with coupling symmetric property by linear transform with the selection matrix. Next, the FOC matrix is transformed into a real-valued matrix via a unitary transformation which can be sparsely represented by a real-valued virtual overcomplete dictionary. The real-valued sparse model is vectorised for transforming to a single measurement vector (SMV) model, and the redundant data in the vector model is further removed by another selection matrix. Finally, an off-grid sparse model based on the real-valued SMV is established and solved by utilising the SBL strategy. The proposed method not only reduces the computational complexity but also obtains an extended-aperture array with increased degrees of freedom which yields high resolution, and provides superiority in performance and robustness against coloured noise. The simulation results demonstrate the effectiveness of the proposed method.
Starting Page	3344
Ending Page	3349
Page Count	6
ISSN	17518628
Volume Number	13
e-ISSN	17518636
Issue Number	Issue 19, Dec (2019)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-com/13/19
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-com.2018.6244
Journal	IET Communications
Publisher Date	2019-09-13
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Algebra Bayes Method Coupling Symmetric Property Deredundant FOC Matrix Digital Signal Processing Direction of Arrival Estimation Higher Order Statistics Integral Transforms Knowledge Engineering Technique Learning in AI Matrix Algebra Off-grid DOA Estimation Off-grid Sparse Model Off-grid Sparsity-inducing Direction-of-arrival Estimation Real-valued Fourth-order Cumulants Real-valued Matrix Real-valued SMV Real-valued Sparse Model Real-valued Virtual Overcomplete Dictionary Redundant Data SBL Strategy Signal Processing And Detection Single Measurement Vector Model Sparse Bayesian Learning Spatial Coloured Noise Spatially Coloured Noise Statistics Transform Unitary Transformation
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering Computer Science Applications

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