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Proceedings Paper

Sampling signals from a union of shift-invariant subspaces
Author(s): Yue M. Lu; Minh N. Do
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Paper Abstract

We study a sampling problem where sampled signals come from a known union of shift-invariant subspaces and the sampling operator is a linear projection of the sampled signals into a fixed shift-invariant subspace. In practice, the sampling operator can be easily implemented by a multichannel uniform sampling procedure. We present necessary and sufficient conditions for invertible and stable sampling operators in this framework, and provide the corresponding minimum sampling rate. As an application of the proposed general sampling framework, we study the specific problem of spectrum-blind sampling of multiband signals. We extend the previous results of Bresler et al. by showing that a large class of sampling kernels can be used in this sampling problem, all of which lead to stable sampling at the minimum sampling rate.

Paper Details

Date Published: 27 September 2007
PDF: 9 pages
Proc. SPIE 6701, Wavelets XII, 670122 (27 September 2007); doi: 10.1117/12.733331
Show Author Affiliations
Yue M. Lu, Univ. of Illinois at Urbana-Champaign (United States)
Minh N. Do, Univ. of Illinois at Urbana-Champaign (United States)

Published in SPIE Proceedings Vol. 6701:
Wavelets XII
Dimitri Van De Ville; Vivek K. Goyal; Manos Papadakis, Editor(s)

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