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A comparative study of the optimal and interpolation methods for restoration a stationary continuous signal from discrete values

机译:从离散值恢复固定连续信号的最优和插值方法的比较研究

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In this paper, we consider the task of restoration of a continuous signal by its discrete values. We compare the optimal and interpolation restoration techniques for the continuous-discrete observation model. The expression for the root-mean-square error of the restoration of a stationary continuous signal from its discrete values is derived. For the optimal restoration case, the signal is reconstructed by the means of an optimal restoration filter. For the interpolation restoration, the signal is reconstructed with the use of linear interpolation. The results of a comparison of the root-mean-square errors of the optimal restoration and interpolation procedures with the same parameters of the input signal, additive noise, and dynamic distortion are presented.
机译:在本文中,我们考虑通过离散值恢复连续信号的任务。 我们比较连续离散观察模型的最佳和插值恢复技术。 导出了从其离散值恢复固定连续信号的根均方误差的表达式。 对于最佳恢复情况,通过最佳恢复滤波器的装置重建信号。 对于插值恢复,通过使用线性插值来重建信号。 呈现了具有相同输入信号,加性噪声和动态失真的最佳恢复和插值过程的均方根误差的比较结果。

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