Design of Riesz fractional order differentiator using discrete sine transform

In this paper, designing of fixed Riesz fractional order differentiator (RFOD) using discrete sine transform (DST) method has been presented. First, fractional order differentiator (FOD) has been designed using discrete sine transform. Then, the response of the FOD has been used to design a RFOD whose frequency response is the scaled even part of the conventional FOD. Design example is presented to evaluate performance of the proposed RFOD using DST. The results of the proposed RFOD have been compared with the existing RFOD using DCT. Simulation results yield that the performance of proposed RFOD is superior to that of the existing RFOD over the high frequency region.