Structural and metrical information in linear systems
Author
Özçelikkale, Ayça
Advisor
Özaktaş, Haldun M.
Date
2006Publisher
Bilkent University
Language
English
Type
ThesisItem Usage Stats
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Abstract
We present a systematic approach to understand the information-theoretic re-
lationships in linear systems. Our main aim is to understand what kind of
information the output of a linear system carries about the input of the system
and how much of this information is preserved in the measurement process. We
recognize structural and metrical information as two fundamental concepts for
classifying the information content of signals. We base our understanding of the
problem on information-theoretic concepts like entropy, mutual information and
channel capacity. We present our results as trade-o®s between cost and perfor-
mance, yielding insights about di®erent aspects of the information °ow in a linear
system. We especially focus on building a framework which indicates how accu-
rately, and how many measurements must be made and how the measurement
locations should be selected.