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Published February 1985 | Published
Journal Article Open

Signal restoration from data aliased in time

Abstract

This paper deals with the problem of signal restoration from data aliased in time. The signal, which is in general noncausal, is split into a causal and an anticausal part. The causal part and the time-reversed anticausal part are then modeled as impulse responses of rational pole-zero models. The parameters of these models are then estimated by solving sets of overdetermined equations. The choice of model orders, i.e., number of poles and zeros of rational models, is also discussed. It is shown that if the aliasing period is large enough, there is sufficient information for all the parameters to be estimated. The special cases of a purely causal signal or a purely anticausal signal are discussed. Simulation results show that the signal can be recovered with excellent accuracy.

Additional Information

© 1985 IEEE. Manuscript received March 28, 1983; revised November 14, 1983, March 5, 1984, and June 7, 1984. This work was performed while the author was supported as a graduate student at the California Institute of Technology, Pasadena. The facility used was the Caltech Psycho-acoustic Signal Processing Facility, which is funded in part by the Jet Propulsion Laboratory, and operated by Caltech for the National Aeronautics and Space Administration under Contract NAS7-918.

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August 19, 2023
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