Wideband DOA estimation from the sparse recovery perspective for the spatial-only modeling of array data

This communication utilizes a sparse recovery technique named “least absolute shrinkage and selection operator” (LASSO) to formulate and solve the problem of direction-of-arrival (DOA) estimation for far-field wideband sources. The spatial-only modeling for wideband array output is employed when the sources have flat spectra, and the DOA estimation problem in this model can be transformed into a sparse recovery problem. Via the LASSO technique, an optimization problem is constructed and solved by second-order cone (SOC) programming to obtain the DOA estimates. Numerical simulations are also provided in contrast with those existing algorithms using the spatial-only model.