Functionally weighted lagrange interpolation of band-limited signals from nonuniform samples
IEEE Transactions on Signal Processing
Robust structure transformation for causal Lagrange-type variable fractional-delay filters
IEEE Transactions on Circuits and Systems Part I: Regular Papers - Special section on 2008 custom integrated circuits conference (CICC 2008)
Two-dimensional farrow structure and the design of variable fractional-delay 2-D FIR digital filters
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Generalized WLS method for designing all-pass variable fractional-delay digital filters
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Design of barycentric interpolators for uniform and nonuniform sampling grids
IEEE Transactions on Signal Processing
Hybrid structures for low-complexity variable fractional-delay FIR filters
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Minimax design of low-complexity allpass variable fractional-delay digital filters
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Design of wideband fractional delay filters using derivative sampling method
IEEE Transactions on Circuits and Systems Part I: Regular Papers
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In this paper, we first derive an explicit formula for expressing the coefficients of an arbitrary-order Lagrange-type variable fractional-delay (VFD) digital filter as polynomials of the VFD parameter , and then develop some useful symmetries for both even- and odd-order Lagrange-type VFD filter coefficients. The coefficient-symmetries facilitate the evaluations of VFD filter coefficients as well as variable frequency responses with reduced computational complexity. More importantly, the coefficient-symmetries can be exploited for efficiently implementing both even- and odd-order Lagrange-type VFD filters as Farrow structure and a more efficient one called even-odd structure such that the subfilters have symmetric or anti-symmetric coefficients, which saves the storage for VFD filter coefficients and reduces the number of multiplications required in VFD filtering process by almost 50%. Therefore, exploiting the coefficient-symmetries not only speeds up the VFD filtering, but also reduces implementation cost.