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Randomness and noise in information systems

Citation

Zhou, Hongchao (2013) Randomness and noise in information systems. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechTHESIS:07122012-141803264

Abstract

This dissertation is devoted to the study of randomness and noise in a number of information systems including computation systems, storage systems, and natural paradigms like molecular systems, where randomness plays important and distinct roles. Motivated by applications in engineering and science we address a number of theoretical research questions.

  • In a computation system, randomness enables to perform tasks faster, simpler, or more space efficient. Hence, randomness is a useful computational resource, and the research question we address is: How to efficiently extract randomness from natural sources?

  • In a molecular system such as a chemical reaction network or a gene regulatory network, randomness is inherent and serves as the key mechanism for producing the desired quantities of molecular species. A chemical reaction can be abstractly described as a probabilistic switch. Hence, given a set of probabilistic switches (with some fixed switching probabilities), the research question we address is: How to synthesize a stochastic network consisting of those switches that computes a pre-specified probability distribution?

  • In an information storage system, like flash memories where information is represented by a relatively small number of electrons, randomness is a threat to data reliability. Hence, the research question we address is: How to represent, write and read information in the presence of randomness (noise)?
This dissertation is focusing on the foregoing key questions and describes novel contributions related to randomness generation and extraction, stochastic system synthesis and coding for information storage.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:random number generation; randomness extraction; stochastic system synthesis; coding for information storage
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Electrical Engineering
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Bruck, Jehoshua
Thesis Committee:
  • Bruck, Jehoshua (chair)
  • Winfree, Erik
  • Hassibi, Babak
  • Umans, Christopher M.
  • Effros, Michelle
Defense Date:1 June 2012
Author Email:hongchaozhou (AT) yahoo.com
Record Number:CaltechTHESIS:07122012-141803264
Persistent URL:http://resolver.caltech.edu/CaltechTHESIS:07122012-141803264
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7176
Collection:CaltechTHESIS
Deposited By: Hongchao Zhou
Deposited On:30 Aug 2012 18:29
Last Modified:26 Dec 2012 04:44

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