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Diethorn, Eric John 2014-12-15T19:05:24Z 2014-12-15T19:05:24Z 10000-01-01 1987 1987 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. Made available in DSpace on 2014-12-15T19:05:24Z (GMT). No. of bitstreams: 1 8803020.pdf: 5447854 bytes, checksum: 5fea8cfb7405a946affbd1790cbb70d1 (MD5) Previous issue date: 1987 Embargo set by: Seth Robbins for item 69537 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 146 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1987. http://hdl.handle.net/2142/69371 (UMI)AAI8803020 Engineering, Electronics and Electrical A Linear, Time-Varying System Framework for Bandlimited Signal Extrapolation text Electrical Engineering Electrical Engineering University of Illinois at Urbana-Champaign Dissertation Ph.D.