On Evolutionary Synthesis of Linear Transforms in FPGA

Abstract. In this paper, an evolutionary approach is used to design multiple constant multipliers (MCMs). As these circuits can be composed of adders, subtractors and shifters, they perform a linear transform. An important consequence is that only a single input value is sufficient to completely evaluate a candidate circuit independently of its size and the bit width of the datapath. Proposed method is able to compete with well-optimized heuristics in particular problem instances. This paper also deals with a hardware acceleration of the method in FPGA which provides the speedup of two orders of magnitude in comparison with a conventional PC.