Sampling High-Dimensional Bandlimited Fields on Low-Dimensional Manifolds

Consider the task of sampling and reconstructing a bandlimited spatial field in R 2 using moving sensors that take measurements along their path. It is inexpensive to increase the sampling rate along the paths of the sensors but more expensive to increase the total distance traveled by the sensors p...

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Veröffentlicht in:	IEEE transactions on information theory 2013-04, Vol.59 (4), p.2103-2127
Hauptverfasser:	Unnikrishnan, J., Vetterli, M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Bandwidths Detection, estimation, filtering, equalization, prediction Exact sciences and technology Image reconstruction Information theory Information, signal and communications theory Lattices Manifolds Measurement Mobile sensing multidimensional signal processing nonuniform sampling Sampling sampling theory sampling trajectories Sensors Signal and communications theory Signal, noise Telecommunications and information theory Topological manifolds Trajectory union of lattices Vectors
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