Digital fractional delay implementation based on fractional order system

Optimal design of fractional delay FIR filter using cuckoo search algorithm

“…[12][13][14][15] For the past few decades, extensive research has been done in the field of designing of FD filters; see Laakso et al 16 and references therein. 28 Lee applied parallel and cascade connections of differentiator to make a trade-off between delay and memory required. [17][18][19][20][21][22] Farrow presents an FIR filter that implements the adjustable delay.…”

“…In addition, the proposed method has also been used for comb filter design. 28 Lee applied parallel and cascade connections of differentiator to make a trade-off between delay and memory required. 29 Blok and Sac presented an efficient method based on symmetric window for the design of variable FD filter.…”

Fractional Euler analog-to-digital transform

“…Many design techniques have been proposed for digital finite impulse response (FIR) and IIR filter type to approximate the ideal digital fractional delay transfer function of (1) [15][16][17][18][19][20][21][22]. Besides, fractional order system theory is a very growing subject by its applications in different areas of physics and engineering [23][24][25][26][27].…”

Riemann–Liouville operator‐based fractional normalised least mean square algorithm with application to decision feedback equalisation of multipath channels

“…Estimation of parameters and orders have been investigated in [10,11] provide in brief the suitability of fractional order control for embedded applications and robustness of fractional order proportional-integral (PI)-derivative has been studied in [12]. Estimation and tracking of Hurst parameters [13][14][15], robustness, fractional order control for actuators faults identification, thermal systems control, electrocardiogram signals and tuning of PI controllers have been comprehensively studied in [16][17][18][19]. Reconstruction of multidimensional images using fractional Fourier domain techniques and of bandlimited signals from multiple channels using canonical transform domain have recently been studied in [20,21].…”