Hardware-efficient filterbank design for fast recursive MDST and IMDST algorithms

This paper proposes a recursive-structure and hardware-efficient filterbank design for modified discrete sine transform (MDST) and inverse MDST (IMDST) computations. The proposed algorithm can be derived to obtain a common computation, the type-IV of Discrete Sine Transform (DST-IV), and then can be converted into a recursive structure of the modified type-II of inverse discrete sine transform (Modified IDST-II). The implementation results show that the proposed method not only can directly employ the same hardware accelerator to calculate the forward and inverse MDST but also greatly reduce the hardware costs. Compared with previous approaches from the simulation results, the Peak signal-to-noise ratio (PSNR) value can achieve 79.76 dB at best, and the time cost per transform of the proposed hardware only takes 343 μs.