Using symbolic algebra in algorithmic level DSP synthesis

Current multimedia applications require the design of data-path intensive circuits. Unfortunately, current design tools and methods support design abstraction at a level that is inferior to the expectation of designers. Namely, most arithmetic-level optimizations are not supported and they are left to the designers' ingenuity. In this paper, we show how symbolic algebra can be used to construct an arithmetic-level decomposition algorithm. We also introduce our tool, SymSyn, that performs arithmetic library mapping and optimization of data-flow descriptions into data paths using arithmetic components.