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In this paper, an interpolation method based on discrete cosine transform (DCT) is employed for digital finite impulse response-fractional order differentiator (FIR-FOD) design. Here, a fractional order digital differentiator is modeled as finite impulse response (FIR) system to get an optimized frequency response that approximates the ideal response of a fractional order differentiator. Next, DCT-III...
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...
This paper presents the designs of matrix fractional order differentiator (MFOD) using transform based methods. Here, four transform methods are employed for MFOD design which includes discrete cosine transform (DCT), discrete sine transform (DST), discrete Fourier transform (DFT) and discrete Hartley transform (DHT) methods. The inefficiencies of conventional FIR and IIR MFOD design methods that...
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