On recovery of signals with single point spectrum degeneracy

09/25/2018

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by   Nikolai Dokuchaev, et al.

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The paper study recovery problem for discrete time signals with a finite number of missing values. The paper establishes recoverability of these missing values for signals with Z-transform vanishing with a certain rate at a single point. The transfer functions for the corresponding recovering kernels are presented explicitly. Some robustness of the recovery with respect to data truncation or noise contamination is established.