The restricted isometry property for random convolutions
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چکیده
We present significantly improved estimates for the restricted isometry constants of partial random circulant matrices as they arise in the matrix formulation of subsampled convolution with a random pulse. We show that the required condition on the number m of rows in terms of the sparsity s and the vector length n is m & s log s log n.
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تاریخ انتشار 2013