On recovery of discrete time signals from their periodic subsequences.

• Recoverability criteria of a discrete signal from its m-periodic subsequence is obtained • Predicability is associated with certain arbitrarily small degeneracy of Z-transform for amended subsequneses • Robustness of recover is established The paper investigates recoverability of discrete time signals (sequences) from their subsequences sampled at m -periodic points. It is shown that this recoverability is associated with arbitrarily small spectrum degeneracy of subsequences amended via insertion of dummy elements and bundled into a system. It appears that, for a given m , the signals of a general kind can be approximated by signals with this feature. A recovery algorithm is suggested, and some robustness of this recovery is established. [ABSTRACT FROM AUTHOR]