An RIP-based approach to quantization for compressed sensing
arXiv:1405.0237 · doi:10.1109/LSP.2014.2336700
Abstract
In this paper, we provide a new approach to estimating the error of reconstruction from 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.
11 pages