@conference {680, title = {Analysis and Design of Multirate Synchronous Sampling Schemes for Sparse Multiband Signals}, booktitle = { European Signal Processing Conference (EUSIPCO 2012)}, year = {2012}, month = {08/2012}, pages = {1184-1188}, abstract = {

We consider the problem of developing efficient sampling
schemes for multiband sparse signals. Previous results on
multicoset sampling implementations that lead to universal
sampling patterns (which guarantee perfect reconstruction),
are based on a set of appropriate interleaved analog to digital converters, all of them operating at the same sampling
frequency. In this paper we propose an alternative multirate
synchronous implementation of multicoset codes, that is, all
the analog to digital converters in the sampling scheme operate at different sampling frequencies, without need of introducing any delay. The interleaving is achieved through the
usage of different rates, whose sum is significantly lower than
the Nyquist rate of the multiband signal. To obtain universal
patterns the sampling matrix is formulated and analyzed. Appropriate choices of the parameters, that is the block length
and the sampling rates, are also proposed
}, keywords = {compressive sampling, Kruskal rank, multiband sparse signal, Multicoset sampling, multirate sampling, universal pattern}, author = {M. Elena Dom{\'\i}nguez-Jim{\'e}nez and Nuria Gonz{\'a}lez-Prelcic} }