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In this letter, we provide a new approach to estimating the error of reconstruction from &#x03A3;&#x0394; quantized compressed sensing measurements. Our method is based on the restricted isometry property (RIP) of a certain projection of the measurement matrix. Our result yields simple proofs and a slight generalization of the best-known reconstruction error bounds for Gaussian and subGaussian measurement matrices.

An RIP-Based Approach to $\Sigma \Delta $ Quantization for Compressed Sensing