Design of variable and adaptive fractional order FIR differentiators
Signal Processing - Fractional calculus applications in signals and systems
WLS design of variable fractional-delay FIR filters using coefficient relationship
IEEE Transactions on Circuits and Systems II: Express Briefs
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)
FIR, allpass, and IIR variable fractional delay digital filter design
IEEE Transactions on Circuits and Systems Part I: Regular Papers
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
Design of variable two-dimensional FIR digital filters by McClellan transformation
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Least-squares design of variable maximally linear FIR differentiators
IEEE Transactions on Signal Processing
Generalized WLS method for designing all-pass variable fractional-delay digital filters
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Hybrid structures for low-complexity variable fractional-delay FIR filters
IEEE Transactions on Circuits and Systems Part I: Regular Papers
3-D FIR cone-shaped filter design by a nest of Mcclellan transformations and its variable design
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
Low-complexity all-digital sample clock dither for OFDM timing recovery
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
A new criterion for the design of variable fractional-delay FIR digital filters
IEEE Transactions on Circuits and Systems Part I: Regular Papers
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Natural Computing: an international journal
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Our previous work has shown that the coefficient symmetry can be efficiently exploited in designing variable finite-impulse-response (FIR) filters with simultaneously tunable magnitude and fractional-delay responses. This paper presents the optimal solutions for the weighted-least-squares (WLS) design of variable fractional-delay (VFD) FIR filters with same-order and different-order subfilters through utilizing the coefficient symmetry along with an imposed coefficient constraint. In deriving the closed-form error functions, since the Taylor series expansions of sin(omegap) and cos(omegap) are used, the numerical integrals using conventional quadrature rules can be completely removed, which speeds up the WLS design and guarantees the optimality of the final solution. Two design examples are given to illustrate that the proposed WLS methods can achieve better design with significantly reduced VFD filter complexity and computational cost than the existing ones including the WLS-SVD approach. Consequently, the proposed WLS design is the best among all the existing WLS methods so far