Signal-oriented processing in a speed independent environment

This article is devoted to the research of a simulation system that uses signal-oriented integrators. The simulation environment is based on SIC (Speed Independent Circuits). The article first examines the implementation of arithmetical operations, which have been inspired by the natural world, in environments lacking global synchronization of computational processes. The article then describes the process used to calculate the Riemann integral using the signal oriented integrator and develops integration algorithms (rectangles and trapezoids) for use in such environments. It includes pseudo-code that implements these algorithms. A method is then discussed for fixing the duration of transients in combinational logic circuits and for a signal-oriented implementation of the integration process. It also considers the mapping of the signal oriented integration process as a fuzzy integration process. Finally, the article presents the results of a computer simulation of a system with signal-oriented integrators for solving differential equations of partial derivatives.