Paper: | SPTM-P4.3 |
Session: | Sampling, Extrapolation and Interpolation I |
Time: | Wednesday, May 17, 10:00 - 12:00 |
Presentation: |
Poster
|
Topic: |
Signal Processing Theory and Methods: Sampling, Extrapolation, and Interpolation |
Title: |
Sampled Signal Reconstruction via H² Optimization |
Authors: |
Gjerrit Meinsma, University of Twente, Israel; Leonid Mirkin, Technion - Israel Institute of Technology, Israel |
Abstract: |
In this paper the sampled signal reconstruction problem is formulated and solved as the sampled-data H² smoothing problem, in which an analog reconstruction error is minimized. Both infinite (non-causal reconstructor) and finite (reconstructor with relaxed causality) preview cases are considered. The optimal reconstructors are in the form of the cascade of a discrete-time smoother and a generalized hold (interpolator). In the particular case of reconstructing polynomial signals with infinite preview, the proposed procedure recovers the cardinal B-spline reconstructors. |