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Fig. 8


Mutual coherence of measurement matrices by aperture size (top) and rate of successful OMP reconstructions of random point sources (bottom) in the under-resolved case. Both experiments are with arrays of 27 antennas. In the top panel, the x-axis gives the ratio of the aperture size in the under-resolved case to the aperture size in the well-resolved case. In the bottom panel, this relative aperture size is 0.5. For the randomized arrays (URA, NRA, and YOPP), the MC plotted is the mean of 50 independent instances of the array. The reconstruction rate plotted is the mean of 5 independent instances of the array, on 500 independent trials for each level of sparsity. A reconstruction is deemed successful if the relative error RE ≤ 0.01. Original versions of these figures appeared in Fannjiang (2011).

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