Discrete Cosine Transform with Matrix Technique for a Fractional-order Riesz Differentiator

In this paper, DCT (discrete cosine transform) with matrix technique for a fractional-order Riesz differentiator is presented. First, review the fractional-order Riesz differentiator definition. Next, transfer matrix of fractional-order Riesz differentiator is obtained by DCT interpolation method. Finally, some computative problems show the importance of DCT interpolation method are discussed.