Titlebook: Sampling Theory, a Renaissance; Compressive Sensing Götz E. Pfander Book 2015 Springer International Publishing Switzerland 2015 Compressi

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A Sheaf-Theoretic Perspective on Samplingances in frame theory, have relied heavily on the application of geometry and analysis. The reliance on geometry and analysis means that these results are dependent on the symmetries of the space of samples. There is a subtle interplay between the topology of the domain of the functions being sample

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How To Best Sample a Solution Manifold? This chapter highlights some recent developments concerning this issue for the so-called Reduced Basis Method (RBM) for models based on parameter-dependent families of PDEs. In this context the key task is to sample the . at judiciously chosen parameter values usually determined in a .. The corresp

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On the Stability of Polynomial Interpolation Using Hierarchical Samplingial interpolation procedure introduced in Chkifa et al. (Found. Comput. Math. 1–33, 2013). A key aspect of this procedure is its hierarchical structure: the sampling set is progressively enriched together with the polynomial space. The evaluation points are selected from a grid obtained by tensoriza

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Digital Adaptive Calibration of Data Converters Using Independent Component Analysiserters (ADCs) is covered in this chapter. Exploiting the independence between the input signal and an injected pseudorandom bit sequence (PRBS), the technique attempts to blindly separate the two in the digital conversion output, and while doing so, an equivalent model of the ADC non-idealities is i

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On the Stability of Polynomial Interpolation Using Hierarchical Sampling. For this sequence, we prove cubic growth in the number of points for the Lebesgue constant of the multivariate interpolation operator, independently of the number of variable and of the shape of the polynomial space.

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