Sampling from a system-theoretic viewpoint: Part II - Noncausal solutions

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Meinsma, Gjerrit and Mirkin, Leonid (2010) Sampling from a system-theoretic viewpoint: Part II - Noncausal solutions. IEEE Transactions on Signal Processing, 58 (7). pp. 3591-3606. ISSN 1053-587X

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Abstract:This paper puts to use concepts and tools introduced in Part I to address a wide spectrum of noncausal sampling and reconstruction problems. Particularly, we follow the system-theoretic paradigm by using systems as signal generators to account for available information and system norms (L2 and L∞) as performance measures. The proposed optimization-based approach recovers many known solutions, derived hitherto by different methods, as special cases under different assumptions about acquisition or reconstructing devices (e.g., polynomial and exponential cardinal splines for fixed samplers and the Sampling Theorem and its modifications in the case when both sampler and interpolator are design parameters). We also derive new results, such as versions of the Sampling Theorem for downsampling and reconstruction from noisy measurements, the continuous-time invariance of a wide class of optimal sampling-and-reconstruction circuits, etcetera.
Item Type:Article
Copyright:© 2010 IEEE
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/73705
Official URL:http://dx.doi.org/10.1109/TSP.2010.2047642
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