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Optimized compact-support interpolation kernels
, Article IEEE Transactions on Signal Processing ; Volume 60, Issue 2 , November , 2012 , Pages 626-633 ; 1053587X (ISSN) ; Ayremlou, A ; Amini, A ; Marvasti, F ; Sharif University of Technology
2012
Abstract
In this paper, we investigate the problem of designing compact-support interpolation kernels for a given class of signals. By using calculus of variations, we simplify the optimization problem from an nonlinear infinite dimensional problem to a linear finite dimensional case, and then find the optimum compact-support function that best approximates a given filter in the least square sense (ℓ 2 norm). The benefit of compact-support interpolants is the low computational complexity in the interpolation process while the optimum compact-support interpolant guarantees the highest achievable signal-to-noise ratio (SNR). Our simulation results confirm the superior performance of the proposed kernel...