Rate of Innovation for (Non-)Periodic Signals and Optimal Lower Stability Bound for Filtering
Abbreviated Journal Title
J. Fourier Anal. Appl.
Stability; Finite rate of innovation; Space of homogeneous type; Integral operator; Filtering; SHIFT-INVARIANT SPACES; FINITE RATE; RECONSTRUCTING SIGNALS; SPLINE; SUBSPACES; L-P; FRAMES; OPERATORS; SHANNON; Mathematics, Applied
One of fundamental problems in sampling theory is to reconstruct (non-)periodic signals from their filtered signals in a stable way. In this paper, we obtain a universal upper bound to the rate of innovation for signals in a closed linear space, which can be stably reconstructed, via the optimal lower stability bound for filtering on that linear space.
Journal of Fourier Analysis and Applications
"Rate of Innovation for (Non-)Periodic Signals and Optimal Lower Stability Bound for Filtering" (2014). Faculty Bibliography 2010s. 6152.