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The authors' previous work has derived an explicit formula for computing the coefficients of arbitrary-order Lagrange-type variable fractional-delay (VFD) digital filter in a closed-form. This paper develops new coefficient symmetry for efficiently implementing odd-order Lagrange-type VFD filters such that an odd-order Lagrange-type VFD filter can be implemented as the Farrow structure and more efficient...
Lagrange-type variable fractional-delay (VFD) filters are simple and fundamental tools for high-resolution image interpolation. In this paper, we first reveal and theoretically prove the coefficient-symmetry of odd-order Lagrange-type VFD filters, and then exploit the coefficient-symmetry in implementing the VFD filters. We show that the odd-order Lagrange-type VFD filters can be efficiently implemented...
Lagrange-type variable fractional-delay (VFD) filters are simple and fundamental tools for high-resolution image interpolation. In this paper, we first reveal and theoretically prove the coefficient-symmetry of odd-order Lagrange-type VFD filters, and then exploit the coefficient-symmetry in implementing the VFD filters. We show that the odd-order Lagrange-type VFD filters can be efficiently implemented...
We have theoretically proved the Liu-Wei's closed-form formula for computing the coefficients of one-dimensional (1-D) variable fractional-delay (VFD) finite-impulse-response (FIR) digital filter derived from nonlinear interpolating polynomial. In this paper, we reveal the symmetry of the VFD filter coefficients and exploit the coefficient symmetry in evaluating the VFD filter frequency characteristics...
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