Title :
On Landau´s eigenvalue theorem and its applications
Author :
Franceschetti, Massimo
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of California at San Diego, La Jolla, CA, USA
fDate :
June 29 2014-July 4 2014
Abstract :
A variation of Landau´s eigenvalue theorem describing the phase transition behavior of the eigenvalues of a time-frequency limiting, self adjoint operator is presented, and its applications are discussed in the context of communication with waves.
Keywords :
eigenvalues and eigenfunctions; electromagnetic waves; time-frequency analysis; Landau eigenvalue theorem; phase transition behavior; self adjoint operator; time-frequency limiting operator; wave communication; Bandwidth; Eigenvalues and eigenfunctions; Fourier transforms; Information theory; Time-frequency analysis; Uncertainty; Wave functions;
Conference_Titel :
Information Theory (ISIT), 2014 IEEE International Symposium on
Conference_Location :
Honolulu, HI
DOI :
10.1109/ISIT.2014.6874859