An array signal recovery algorithm based on sparse signal reconstruction theory is proposed for a single-RF-channel\ndigital beamforming (DBF) array. A single-RF-channel antenna array is a low-cost antenna array in which signals are\nobtained from all antenna elements by only one microwave digital receiver. The spatially parallel array signals are\nconverted into time-sequence signals, which are then sampled by the system. The proposed algorithm uses these\ntime-sequence samples to recover the original parallel array signals by exploiting the second-order sparse structure of\nthe array signals. Additionally, an optimization method based on the artificial bee colony (ABC) algorithm is proposed\nto improve the reconstruction performance. Using the proposed algorithm, the motion compensation problem for\nthe single-RF-channel DBF array can be solved effectively, and the angle and Doppler information for the target can\nbe simultaneously estimated. The effectiveness of the proposed algorithms is demonstrated by the results of\nnumerical simulations.
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