MMSE estimation from quantized observations in the nonasymptotic regime
Lee, Jaeho
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https://hdl.handle.net/2142/89048
Description
Title
MMSE estimation from quantized observations in the nonasymptotic regime
Author(s)
Lee, Jaeho
Issue Date
2015-12-04
Director of Research (if dissertation) or Advisor (if thesis)
Raginsky, Maxim
Department of Study
Electrical & Computer Engineering
Discipline
Electrical & Computer Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
M.S.
Degree Level
Thesis
Keyword(s)
functional quantization
nonasymptotic bounds
Abstract
This thesis studies MMSE estimation on the basis of quantized noisy observations.
It presents nonasymptotic bounds on MMSE regret due to quantization
for two settings: (1) estimation of a scalar random variable given
a quantized vector of n conditionally independent observations, and (2) estimation
of a p-dimensional random vector given a quantized vector of n
observations (not necessarily independent) when the full MMSE estimator
has a sub-Gaussian concentration property.
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