Sciweavers

Share
ICASSP
2009
IEEE

Sampling signals with finite rate of innovation in the presence of noise

10 years 4 months ago
Sampling signals with finite rate of innovation in the presence of noise
Recently, it has been shown that it is possible to sample non-bandlimited signals that possess a limited number of degrees of freedom and uniquely reconstruct them from a finite number of uniform samples. These signals include, amongst others, streams of Diracs. In this paper, we investigate the problem of estimating the innovation parameters of a stream of Diracs from its noisy samples taken with polynomial or exponential reproducing kernels. For the one-Dirac case, we provide exact expressions for the Cram´er- Rao bounds of this estimation problem. Furthermore, we propose methods to reconstruct the location of a single Dirac that reach the optimal performance given by the unbiased Cram´er-Rao bounds down to noise levels of 5dB.
Pier Luigi Dragotti, Felix Homann
Added 21 May 2010
Updated 21 May 2010
Type Conference
Year 2009
Where ICASSP
Authors Pier Luigi Dragotti, Felix Homann
Comments (0)
books