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Employing low-resolution analog-to-digital converters (ADCs) coupled withlarge antenna arrays at the receivers has drawn considerable interests in themillimeter wave (mm-wave) system. Since mm-wave channels are sparse in angulardimensions, exploiting the structure could reduce the number of measurementswhile achieve acceptable performance at the same time. Motivated by thevariational Bayesian line spectral estimation (VALSE) algorithm which treatsthe angles as random parameters, in contrast with previous works which confinethe estimate to the set of grid angle points and induce grid mismatch, thispaper proposes the grid-less quantized variational Bayesian channel estimation(GL-QVBCE) algorithm for antenna array systems with low resolution ADCs.Compared to the traditional least squares (LS) approach, numerical results showthat GL-QVBCE performs significantly better and asymptotically approaches theCram\`{e}r Rao bound (CRB).

Gridless Variational Bayesian Channel Estimation for Antenna Array Systems with Low Resolution ADCs