Loading...

Optimized compact-support interpolation kernels

Madani, R ; Sharif University of Technology | 2012

447 Viewed
  1. Type of Document: Article
  2. DOI: 10.1109/TSP.2011.2174987
  3. Publisher: 2012
  4. Abstract:
  5. 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 compared to other conventional compact-support interpolants such as cubic spline
  6. Keywords:
  7. Calculus of variations ; Compact-support ; Cubic spline ; Filter designs ; Finite dimensional ; Infinite dimensional ; Interpolants ; Interpolation kernels ; Interpolation process ; Least square sense ; Optimization problems ; Signal to noise ; Computational complexity ; Optimization ; Signal to noise ratio ; Splines ; Interpolation
  8. Source: IEEE Transactions on Signal Processing ; Volume 60, Issue 2 , November , 2012 , Pages 626-633 ; 1053587X (ISSN)
  9. URL: http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6071015