Vorträge und Posterpräsentationen (mit Tagungsband-Eintrag):
D. Stotz, E. Riegler, H. Bölcskei:
"Almost lossless analog signal separation";
Vortrag: IEEE International Symposium on Information Theory (ISIT),
Istanbul;;
07.07.2013
- 12.07.2013; in: "Information Theory Proceedings (ISIT), 2013 IEEE International Symposium on",
(2013),
S. 106
- 110.
Kurzfassung deutsch:
We propose an information-theoretic framework for analog signal separation. Specifically, we consider the problem of recovering two analog signals from a noiseless sum of linear measurements of the signals. Our framework is inspired by the groundbreaking work of Wu and Verd ́u (2010) on almost lossless analog compression. The main results of the present paper are a general achievability bound for the compression rate in the analog signal separation problem, an exact expression for the optimal compression rate in the case of signals that have mixed discrete-continuous distributions, and a new technique for showing that the intersection of generic subspaces with subsets of sufficiently small Minkowski dimension is empty. This techn
ique can also be applied to obtain a simplified proof of a key result
in Wu and Verd ́u (2010).
Kurzfassung englisch:
We propose an information-theoretic framework for analog signal separation. Specifically, we consider the problem of recovering two analog signals from a noiseless sum of linear measurements of the signals. Our framework is inspired by the groundbreaking work of Wu and Verd ́u (2010) on almost lossless analog compression. The main results of the present paper are a general achievability bound for the compression rate in the analog signal separation problem, an exact expression for the optimal compression rate in the case of signals that have mixed discrete-continuous distributions, and a new technique for showing that the intersection of generic subspaces with subsets of sufficiently small Minkowski dimension is empty. This techn
ique can also be applied to obtain a simplified proof of a key result
in Wu and Verd ́u (2010).
"Offizielle" elektronische Version der Publikation (entsprechend ihrem Digital Object Identifier - DOI)
http://dx.doi.org/10.1109/ISIT.2013.6620197
Elektronische Version der Publikation:
http://publik.tuwien.ac.at/files/PubDat_226344.pdf