Design of zero-phase recursive 2-D variable filters with quadrantal symmetries
Multidimensional Systems and Signal Processing
Practical Optimization: Algorithms and Engineering Applications
Practical Optimization: Algorithms and Engineering Applications
WLS design of variable fractional-delay FIR filters using coefficient relationship
IEEE Transactions on Circuits and Systems II: Express Briefs
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
Design of variable two-dimensional FIR digital filters by McClellan transformation
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
Hybrid structures for low-complexity variable fractional-delay FIR filters
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Weighted-Least-Squares Design of Variable Fractional-Delay FIR Filters Using Coefficient Symmetry
IEEE Transactions on Signal Processing
Convolution-Based Trigonometric Interpolation of Band-Limited Signals
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
SVD-based design and new structures for variable fractional-delay digital filters
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing - Part I
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This paper proposes noniterative and iterative linear programming (LP) procedures for designing low-complexity all-pass variable fractional-delay (VFD) digital filters in the minimax sense. Expressing each coefficient of an allpass VFD filter as a polynomial in the VFD parameter p, we show that the frequency response error of an allpass VFD filter can be written as a pure imaginary part divided by its denominator. Thus, the minimax design can be approximately formulated as an LP problem through neglecting the denominator, which leads to a noniterative minimax design. To improve the minimax design accuracy, we propose an iterative LP procedure that utilizes the denominator from the preceding iteration as a known. The iterative LP minimization is repeated until it converges to the minimax solution. Moreover, we also present a two-stage algorithm for optimizing the optimal variable range p ∈ [pMin, pMax] of the VFD parameter p and successively reducing the subfilter orders. Design examples are given to show that both noniterative and iterative LP methods can achieve much better minimax designs (smaller peak errors) than the existing iterative weighted-least-squares (WLS) approaches, which aim to minimize the peak errors of VFD response and variable phase response, respectively. Moreover, the resulting allpass VFD filters have lower complexities than those from the iterative WLS approaches.