A General Framework for the Design of Compressive Sensing using Density Evolution

This paper proposes a general framework to design a sparse sensing matrix ${\mathbf {A}} \in \mathbb{R}^{m\times n}$, in a linear measurement system ${\mathbf {y = Ax}}^{\sharp } + {\mathbf {w}}$, where ${\mathbf {y}} \in \mathbb{R}^{n}, {\mathbf {x}}^{\sharp } \in \mathbb{R}^{n}$, and w denote the measurements, the signal with certain structures, and the measurement noise, respectively. By viewin...