论文标题

来自样品短序列的周期性信号的超分辨率

Super-resolution of periodic signals from short sequences of samples

论文作者

Rupniewski, Marek W.

论文摘要

重建未知周期的周期性信号的重建是重要的信号处理操作。当样本序列短并且没有提供有关序列时间距离的信息时,这是特别困难的操作。对于这种情况,存在一些允许近似采样信号的算法。但是,这些算法需要信号的带限性或无噪声样品。在本文中,我们提出了一种新型算法,该算法不需要信号被限制,并且可以应对样品中的添加噪声。说明该算法并用实际数据验证。

Reconstruction of undersampled periodic signals of unknown period is an important signal processing operation. It is especially difficult operation when the sequences of samples are short and no information on the inter-sequence time distances is given. For such a case, there exist some algorithms that allow for approximation of the sampled signal. However, these algorithms require either bandlimitedness of the signal, or noiseless samples. In this paper, we propose a novel algorithm which does not require the signal to be bandlimited and it can cope with additive noise in the samples. The algorithm is illustrated and validated with real data.

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