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Relevant Sampling of Band-limited Functions

Published 1 Mar 2012 in math.PR, cs.IT, and math.IT | (1203.0146v1)

Abstract: We study the random sampling of band-limited functions of several variables. If a bandlimited function with bandwidth one has its essential support on a cube of volume $Rd$, then $\cO (Rd \log Rd)$ random samples suffice to approximate the function up to a given error with high probability.

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