Low computation cycle and high speed recursive DFT/IDFT: VLSI algorithm and architecture

In this paper, we propose two low-computation cycle and high-speed recursive discrete Fourier transform (DFT)/inverse DFT (IDFT) architectures adopting the hybrid of Chebyshev polynomial and register-splitting scheme. The proposed core-type recursive architecture achieves half computation-cycle reduction as well as less critical period compared with the conventional second-order DFT/IDFT architecture. So as to further reduce the number of computation cycles, based on the new core-type design, we develop the folded-type recursive DFT/IDFT architecture with the same operating frequency. Moreover, from the derivation results, the operation of DFT and IDFT can be performed with the same structure under different configurations.