Analog Abstraction, Computation, and Numerical Analysis

This paper discusses the first step in analog (and mixed signal) abstraction utilized in large-scale Field Programmable Analog Arrays (FPAA), encoded in open-source SciLab/Xcos based toolset. Analog computation becomes relevant with the advent of FPAA devices, particularly the SoC FPAA devices and resulting design tools. Analog and digital systems have tools to model resolution and computational noise and computation energy; analog and digital approaches have their own optimal computing regions. Abstraction of Blocks in the FPAA block library makes the SoC FPAA ecosystem accessible to system-level designers while still enabling circuit designers the freedom to build at a low level. The FPAA block library provides a starting point for discussing the fundamental block concepts of analog computational approaches. These discussions begin the framework for a theory of analog algorithm complexity theory, and careful methods for comparison of techniques.