This paper presents a design and realization of cubic Hermite variable fractional delay (VFD) filter. Cubic Hermite interpolation will be formulated to cubic Hermite VFD filter which the amplitude response and delay response of proposed cubic Hermite VFD filter depend on the used approximation of first derivative. The structure realization of cubic Hermite VFD filter is shown based on Farrow structure as well. Finally, the amplitude response and delay response of the proposed cubicHermite VFD filter will be compared with the cubic B-spline and Lagrange-type VFD filter.
This paper proposes a new method for designing the polynomial-interpolation-type noninteger-delay filter with a new structure formulation. Since the design formulation and the new realization structure are based on the discrete Pascal transform (DPT) and Pascal interpolation, we call the resulting filter Pascal noninteger-delay filter. The kth-order Pascal polynomial is used to pass through the given (k + 1) data points in achieving the kth-order Pascal filter. The Pascal noninteger-delay filter is a realtime filter that consists of two sections, which can be realized into the front-section and the back-section. The frontsection contains multiplication-free digital filters, and the number of multiplications in the back-section just linearly increases as order becomes high. Since the new Pascal filter has low complexity and structure can adjust noninteger delay online, it is more suited for fast delay tuning. Consequently, the polynomial-interpolation-type delay filter can be achieved by using the Pascal approach with high efficiency and low-complexity structure.
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