A Ring Oscillator and Memristor Hybrid Architecture for High-Speed Analog Solution of a System of Linear Equations

Matrix computations have become increasingly significant in many data-driven applications. However, Moore's law for digital computers has been gradually approaching its limit in recent years. Moreover, digital computers encounter substantial complexity when performing matrix computations, requiring extensive computation time. Existing analog matrix computation schemes, on the other hand, require a large chip area and high power consumption. This paper proposes a linear algebra system of equations based on integrators, which features low power consumption, compact area, and fast computation time. The demonstrated scheme is capable of performing first-order ordinary differential equation (ODE) computations to realize a 8 × 8 computation matrix and can be expanded further depending on the available chip area. Due to its simple structure, the ring oscillator-based integrator exhibits a compact area and low power consumption. Therefore, ring oscillator-based integrators are introduced into the linear algebra system of equations. This system can be used to compute the linear algebra equations of the matrix with either positive or negative values. This paper provides a detailed analysis and verification of the proposed circuit structure. Compared to similar circuits, this work has significant advantages in terms of area, power consumption, and computation speed.