
NuHAG :: TALKS
Talks given at NuHAG events






Compressive identification of linear operators H Bölcskei (ETH Zurich) given at TU Wien, Gusshausstrasse (30.04.12 11:00) id: 2241 length: 60min status: type: LINKPresentation: ABSTRACT:
We consider the problem of identifying a linear deterministic operator from an inputoutput measurement. For the large class of continuous (and hence bounded) operators, under additional mild restrictions, we show that stable identifiability is possible if the total support area of the operator's spreading function satisfies Δ ≤ ˝. This result holds for arbitrary (possibly fragmented) support regions of the spreading function, does not impose limitations on the total extent of the support region, and, most importantly, does not require the support region of the spreading function to be known prior to identification. Furthermore, we prove that asking for identifiability of only almost all operators, stable identifiability is possible if Δ ≤ 1. This result is surprising as it says that there is no penalty for not knowing the support
region of the spreading function prior to identification.
