Sub -Nyquist Multicoset and MIMO Sampling: Perfect Reconstruction, Performance Analysis, and Necessary Density Conditions
Venkataramani, Raman C.
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https://hdl.handle.net/2142/80754
Description
Title
Sub -Nyquist Multicoset and MIMO Sampling: Perfect Reconstruction, Performance Analysis, and Necessary Density Conditions
Author(s)
Venkataramani, Raman C.
Issue Date
2001
Doctoral Committee Chair(s)
Bresler, Yoram
Department of Study
Electrical Engineering
Discipline
Electrical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Electronics and Electrical
Language
eng
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.
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