Event time:
Tuesday, March 14, 2017 - 12:15pm to 1:15pm
Location:
LOM 206
Speaker:
Jacques Peyrière
Speaker affiliation:
University of Paris-Sud (Orsay)
Event description:
Optimal sampling of non band-limited functions is an issue of great importance that has attracted considerable attention. We propose to tackle this problem through the use of a frequency warping: First, by a nonlinear shrinking of frequencies, the function is transformed into a band-limited one. One may then perform a decomposition in Fourier series. This process gives rise to new orthonormal bases of the Sobolev spaces H ^k. When k is an integer, these orthonormal bases can be expressed in terms of Laguerre functions. We study the reconstruction and speed of convergence properties of the warping-based sampling. Besides theoretical considerations, numerical experiments are performed.
Special note:
Non-standard location