On the Trade-Off Between Bit Depth and Number of Samples for a Basic Approach to Structured Signal Recovery From $b$ -Bit Quantized Linear Measurements

@article{Slawski2018OnTT,
  title={On the Trade-Off Between Bit Depth and Number of Samples for a Basic Approach to Structured Signal Recovery From  \$b\$ -Bit Quantized Linear Measurements},
  author={Martin Slawski and Ping Li},
  journal={IEEE Transactions on Information Theory},
  year={2018},
  volume={64},
  pages={4159-4178}
}
We consider the problem of recovering a high-dimensional structured signal from independent Gaussian linear measurements each of which is quantized to <inline-formula> <tex-math notation="LaTeX">$b$ </tex-math></inline-formula> bits. The focus is on a specific method of signal recovery that extends a procedure originally proposed by Plan and Vershynin for… CONTINUE READING