Digital Circuit Realization of Piecewise-Affine Functions With Nonuniform Resolution: Theory and FPGA Implementation

This brief proposes a digital circuit architecture implementing a class of continuous piecewise-affine (PWA) functions. The work rests on a previous architecture realizing PWA functions with uniform resolution. By using PWA mapping that can be implemented through a few simple functional blocks, it is possible to extend the representation capabilities of the architecture to PWA functions with nonuniform resolution. After defining the mapping and the corresponding functional blocks, the proposed architecture is implemented in a field-programmable gate array, and a simple example is shown.