Physical Design Space Exploration.

ABSTRACTA polynomial accelerator implemented with a custom high-dynamic-range number representation operates up to 534MHz in the slowest speed grade on a 28nm FPGA, a clock rate that a typical FPGA tool flow cannot achieve. This design tutorial shows how to achieve a physically scalable and high-speed numerical design by partitioning it into a cascade of identical stages, and balancing the LUT-to-DSP ratio within each stage to match the available resources on the FPGA.