The invention relates to a device (1) for magnetic resonance imaging of a body (7) placed in a stationary and substantially homogeneous main magnetic field. In order to provide an MR device (1) which is able to reconstruct a final complex image of high quality, the invention proposes that the device is arranged to simultaneously acquire MR signals via the receiving antennas (10a, 10b, 10c) with subsampling of k-space, compute intermediate MR signal data at a complete set of k-space positions from the acquired MR signals, wherein the intermediate MR signal data values are calculated as linear combinations of the acquired MR signal samples using weighting factors, which weighting factors are derived from the covariances of the acquired MR signal samples, and to reconstruct an MR image from the intermediate MR signal data.