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|Title:||A Linear, Time-Varying System Framework for Bandlimited Signal Extrapolation|
|Author(s):||Diethorn, Eric John|
|Department / Program:||Electrical Engineering|
|Degree Granting Institution:||University of Illinois at Urbana-Champaign|
|Subject(s):||Engineering, Electronics and Electrical|
|Abstract:||A Fourier theory for modeling, analyzing, and designing linear, time-varying systems is used to study several aspects of bandlimited signal extrapolation, the problem of reconstructing the whole of a bandlimited signal from a known piece. The extrapolation of both continuous-time and discrete-time signals is considered.
The principal component of the approach is that of modeling the extrapolation process as a linear, time-varying operation on the known data, where the operator is defined by a linear, time-varying system--the extrapolation system. A frequency-domain representation facilitates the characterization of this system. In particular, this representation provides clear, visual evidence of the extreme noise-sensitivity associated with extrapolation--one of the most pressing issues of study today. A least-squares approximation procedure for designing extrapolation systems is also developed. This design methodology is shown to unify a large class of well-documented algorithms for extrapolating both continuous-time and discrete-time data. New techniques for extrapolating data in the presence of noise are also developed.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1987.
|Date Available in IDEALS:||2014-12-15|
This item appears in the following Collection(s)
Dissertations and Theses - Electrical and Computer Engineering
Dissertations and Theses in Electrical and Computer Engineering
Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois