An RIP-based approach to $\Sigma\Delta$ quantization for compressed sensing
Information Theory
2015-06-19 v1 math.IT
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.
Keywords
Cite
@article{arxiv.1405.0237,
title = {An RIP-based approach to $\Sigma\Delta$ quantization for compressed sensing},
author = {Joe-Mei Feng and Felix Krahmer},
journal= {arXiv preprint arXiv:1405.0237},
year = {2015}
}
Comments
11 pages