## 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 language | English |
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Pages (from-to) | 281 |

Number of pages | 1 |

Journal | IEEE Transactions on Signal Processing |

Volume | 47 |

Issue number | 1 |

Publication status | Published - 1 Dec 1999 |

Externally published | Yes |