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Title:MMSE estimation from quantized observations in the nonasymptotic regime
Author(s):Lee, Jaeho
Advisor(s):Raginsky, Maxim
Department / Program:Electrical & Computer Engineering
Discipline:Electrical & Computer Engineering
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:M.S.
Genre:Thesis
Subject(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.
Issue Date:2015-12-04
Type:Thesis
URI:http://hdl.handle.net/2142/89048
Rights Information:Copyright 2015 Jaeho Lee
Date Available in IDEALS:2016-03-02
Date Deposited:2015-12


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