A note on unser-zerubia generalized sampling theory for the linear interpolator

A.J.E.M. Janssen, T. Kalker

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Abstract

In this correspondence, we calculate the condition number of the linear operator mapping sequences of samples /(2fc), /(2fc+a),fc g Z of an unknown continuous / g L2 (R) consistently (in the senses of the Unser-Zerubia generalized sampling theory) onto the set of continuous, piecewise linear functions in L2(R) with nodes at the integers as a function of a g (0, 2). It turns out that the minimum condition numbers occur at a = √2/3 and a = 2 - √2/3 and not at a = 1, as we might have expected.

Original languageEnglish
Pages (from-to)281
Number of pages1
JournalIEEE Transactions on Signal Processing
Volume47
Issue number1
Publication statusPublished - 1 Dec 1999
Externally publishedYes

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