TY - JOUR
T1 - Multiple-input multiple-output sampling
T2 - Necessary density conditions
AU - Venkataramani, Raman
AU - Bresler, Yoram
N1 - Funding Information:
Manuscript received December 17, 2001; revised April 9, 2004. This work was supported in part by a grant from DARPA under Contract F49620-98-1-0498 administered by AFSOR, and by National Science Foundation under Infrastructure Grant CDA-24396. This work was performed while R. Venkataramani was with the University of Illinois at Urbana-Champaign. R. Venkataramani is with Seagate Technology, Pittsburgh, PA 15222 USA (e-mail: [email protected]). Y. Bresler is with the Coordinated Science Laboratory, Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801 USA (e-mail: [email protected]). Communicated by G. Battail, Associate Editor at Large. Digital Object Identifier 10.1109/TIT.2004.831755
PY - 2004/8
Y1 - 2004/8
N2 - We consider the problem of multiple-input multiple-output (MIMO) sampling of multiband signals. In this problem, a set of input signals is passed through a MIMO channel modeled as a known linear time-invariant system. The inputs are modeled as multiband signals whose spectral supports are sets of finite measure and the channel outputs are sampled on nonuniform sampling sets. The aim is to reconstruct the inputs from the output samples. This sampling scheme is quite general and it encompasses various others including Papoulis' generalized sampling and nonuniform sampling as special cases. We introduce notions of joint upper and lower densities for collections of sampling sets and then derive necessary conditions on these densities for stable sampling and consistent reconstruction of the channel inputs from the sampled outputs. These results generalize classical density results for stable sampling and interpolation due to Landau.
AB - We consider the problem of multiple-input multiple-output (MIMO) sampling of multiband signals. In this problem, a set of input signals is passed through a MIMO channel modeled as a known linear time-invariant system. The inputs are modeled as multiband signals whose spectral supports are sets of finite measure and the channel outputs are sampled on nonuniform sampling sets. The aim is to reconstruct the inputs from the output samples. This sampling scheme is quite general and it encompasses various others including Papoulis' generalized sampling and nonuniform sampling as special cases. We introduce notions of joint upper and lower densities for collections of sampling sets and then derive necessary conditions on these densities for stable sampling and consistent reconstruction of the channel inputs from the sampled outputs. These results generalize classical density results for stable sampling and interpolation due to Landau.
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U2 - 10.1109/TIT.2004.831755
DO - 10.1109/TIT.2004.831755
M3 - Article
AN - SCOPUS:3943077930
SN - 0018-9448
VL - 50
SP - 1754
EP - 1768
JO - IEEE Transactions on Information Theory
JF - IEEE Transactions on Information Theory
IS - 8
ER -