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Title:Sub -Nyquist Multicoset and MIMO Sampling: Perfect Reconstruction, Performance Analysis, and Necessary Density Conditions
Author(s):Venkataramani, Raman C.
Doctoral Committee Chair(s):Bresler, Yoram
Department / Program:Electrical Engineering
Discipline:Electrical Engineering
Degree Granting Institution:University of Illinois at Urbana-Champaign
Subject(s):Engineering, Electronics and Electrical
Abstract:We then study the MIMO sampling problem, where a set of multiband input signals is passed through a MIMO channel and the outputs are sampled nonuniformly. MIMO sampling is motivated from applications like multiuser communications and multiple source separation. MIMO sampling encompasses several sampling strategies as special cases, including multicoset sampling and Papoulis's generalized sampling. We derive necessary density conditions for stable reconstruction of the channel inputs from the output. These results generalize Landau's sampling density results to the MIMO problem. We then investigate a special case of MIMO sampling called commensurate periodic nonuniform MIMO sampling , for which we present reconstruction conditions. Finally, we address the problem of reconstruction FIR filter design, formulating it as a minimization and recasting as a standard semi-infinite linear program. Owing to the generality of the MIMO sampling scheme, the design algorithm readily applies to several sampling schemes for multiband signals.
Issue Date:2001
Description:162 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001.
Other Identifier(s):(MiAaPQ)AAI3030487
Date Available in IDEALS:2015-09-25
Date Deposited:2001

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