A fast selector-based subtract-multiplication unit and its application to Radix-2 butterfly unit

Large-scale network and multimedia application LSIs include application specific arithmetic units. A multiply-accumulator unit (MAC unit) which is one of these optimized units arranges partial products and decreases carry propagations. However, there is no method similar to MAC to execute “subtract-multiplication”. In this paper, we propose a high-speed subtract-multiplication unit that decreases latency of a subtract operation by bit-level transformation using selector logics. By using bit-level transformation, its partial products are calculated directly. The proposed subtract-multiplication units can be applied to even any types of systems using subtract-multiplications and a butterfly operation in FFT is one of their suitable applications. Experimental results show that our proposed arithmetic units using selector logics improves the performance by 13.92%, compared to a conventional approach.