Sparse recovery aims to reconstruct an unknown spare or approximately sparse signal from significantly few noisy incoherent linear measurements. As a kind of computable incoherence measure of the measurement matrix, q-ratio constrained minimal singular values (CMSV) was proposed in Zhou and Yu  to derive the performance bounds for sparse recovery. In this paper, we study the geometrical property of the q-ratio CMSV, based on which we establish new sufficient conditions for signal recovery involving both sp…
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