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An efficient sparse antenna array architecture is developed for coherent imaging of sparse but otherwise unknown scenes. In this architecture, the array elements form a periodic nonuniform pattern. Using analysis that explicitly takes into account the presence of noise, we develop an efficient pattern design procedure based on co-arrays, describe an efficient scene support recovery algorithm as part of image reconstruction in the form of a modification to the MUSIC algorithm, and discuss a failure detection technique based on evaluating “back-projection” error. Since our development exploits a close connection to multi-coset sampling of bandlimited waveforms, our results may in turn may also be useful in the design of those systems.
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Krieger et al. (2013) studied this question.