An RIP-based approach to $\Sigma\Delta$ quantization for compressed   sensing
  In this paper, we provide a new approach to estimating the error of reconstruction from $\Sigma\Delta$ 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. 
Joe-Mei Feng and Felix Krahmer
cs.IT math.IT