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- W23687268 abstract "Publisher Summary If a short time-segment of a bandlimited signal is measured, it is expected that a smooth continuation of the measurements outside of this measurement interval would be reasonably accurate as bandlimited signals are smooth. This chapter focuses on the question of extrapolation, relating the degree of smoothness, the number of measurements, and the extent to which the extrapolation can be trusted. It further focuses on the problem of extrapolating short time-domain measurements of signals. The term “energy” refers to the sum of squares of the values extrapolated, excluding the sample observations. The chapter discusses the length of the interval of effective extrapolation and its relationship to the frequency bandwidth assumed for the signal. It presents a formula for the extrapolated values obtained by minimizing the energy outside a larger interval containing the sampling interval and describes the decrease in “worst case error” achieved for the extrapolated values whose sampling times lie within this larger interval. It also presents smoothing and extrapolation formulas to deal with the case in which the observed values are degraded by random noise." @default.
- W23687268 created "2016-06-24" @default.
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- W23687268 date "1981-01-01" @default.
- W23687268 modified "2023-09-27" @default.
- W23687268 title "TIME DOMAIN CONSIDERATIONS IN OPTIMAL ESTIMATION FOR BANDLIMITED SIGNALS**This work was supported by NSF Grant #ENG-780903." @default.
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- W23687268 doi "https://doi.org/10.1016/b978-0-12-256420-8.50014-9" @default.
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