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- W4297129201 abstract "In this paper, the optimal sampling strategies (uniform or nonuniform) and distortion tradeoffs for Gaussian bandlimited periodic signals with additive white Gaussian noise are studied. Our emphasis is on characterizing the optimal sampling locations as well as the optimal pre-sampling filter to minimize the reconstruction distortion. We first show that to achieve the optimal distortion, no pre-sampling filter is necessary for any arbitrary sampling rate. Then, we provide a complete characterization of optimal distortion for low and high sampling rates (with respect to the signal bandwidth). We also provide bounds on the reconstruction distortion for rates in the intermediate region. It is shown that nonuniform sampling outperforms uniform sampling for low sampling rates. In addition, the optimal nonuniform sampling set is robust with respect to missing sampling values. On the other hand, for the sampling rates above the Nyquist rate, the uniform sampling strategy is optimal. An extension of the results for random discrete periodic signals is discussed with simulation results indicating that the intuitions from the continuous domain carry over to the discrete domain. Sparse signals are also considered, where it is shown that uniform sampling is optimal above the Nyquist rate." @default.
- W4297129201 created "2022-09-27" @default.
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- W4297129201 date "2014-05-15" @default.
- W4297129201 modified "2023-09-23" @default.
- W4297129201 title "Sampling and Distortion Tradeoffs for Bandlimited Periodic Signals" @default.
- W4297129201 doi "https://doi.org/10.48550/arxiv.1405.3980" @default.
- W4297129201 hasPublicationYear "2014" @default.
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