The problem of recovery of missed values for discrete time processes is considered in a pathwise setting without probabilistic assumptions. A new class of transfer functions is proposed for recovery of finite sets of missed values. It is shown that error-free and uniform recoverability is feasible for classes of square-summable sequences with Z-transform vanishing with a mild rate at periodically located isolated points. Some robustness with respect to noise contamination is established for the suggested algorithm.

中文翻译：

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利用有限的频谱简并集恢复离散时间信号的缺失值

在没有概率假设的情况下，在路径设置中考虑了离散时间过程丢失值的恢复问题。提出了一类新的传递函数，用于恢复有限组的缺失值。结果表明，对于具有Z变换的正方形可加序列类别，在周期性定位的孤立点处以适度的速率消失，无差错和统一的可恢复性是可行的。为建议的算法建立了一些针对噪声污染的鲁棒性。