Digital devices signal processing system based on k-valued differential calculus
The proposed modeling system, based on the K-valued differential calculus provides more qualitative and accurate modeling compared with binary modeling. This is achieved by taking into account the steepness of fronts, amplitude K-valued signal level quantization and considering electromagnetic compatibility during modeling. Modeling in the system is performed by a joint solution of ordinary K-valued differential equations and K-valued delay differential equations. When solving ordinary K-valued differential equations, crosstalk and noise, associated with the electromagnetic compatibility of individual blocks are modeled based on solving ordinary K-valued differential equations. Modeling of the functional blocks of logic elements is carried out based on the K-valued delay differential equations. The joint solution of these two types of equations allows to analyze the performance of high-speed computing devices, designed taking into account the steepness of fronts, as well as races and noise, caused by electromagnetic interaction of individual components