Sparse Spatial Spectral Estimation: A Covariance Fitting Algorithm, Performance and Regularization

Performance improvement for wideband DOA estimation with white noise reduction based on uniform linear arrays

“…In addition, methods such as incoherent signal subspace method (ISSM) [9], coherent signal subspace method (CSSM) [10] and test of orthogonality of projected subspaces method (TOPS) [11] have also been proposed. Recently, with the development of compressive sensing theory [12,13], many sparsity based DOA estimation methods were developed [14,15,16,17], including various extensions to the wideband case [18,19,20].…”

Sparse covariance fitting method for direction of arrival estimation of uncorrelated wideband signals

“…In array processing a narrowband signal is usually defined as a signal that meets the condition about the bandwidth to center frequency being less than 1% [16], [17]. Here we extend the narrowband model from [10], [11] to a wideband model and derive a new wideband direction of arrival estimation method which is the novelty of this paper. The received wideband signal is first decomposed into a set of independent narrowband signals using Discrete Fourier Transform (DFT) ( [2], [3]) or narrowband filters ( [6]).…”

“…An efficient estimator for this model according to [10] is the estimator based on the constrained Lasso formulation:…”

“…Namely the random variable and do not make any connection to problem formulation (6) from [10] which is shown to be an efficient estimator for the narrowband ( The major component in the complexity of the method is the complexity of the optimization task (16). The time required to solve (16) depends on the number of elements in q .…”

Improved DOA estimation based on real-valued array covariance using sparse Bayesian learning

“…To increase the degree of freedom (DOF) and improve angular resolution, a series of sparse reconstruction algorithms for DOA estimation based on the covariance matrix are developed [10][11][12]. The computational cost of SBL based methods mainly depends on the SNR, and the array covariance matrix has a higher SNR compared to the pure array output [13].…”