Translator Disclaimer
27 September 2007 Sampling signals from a union of shift-invariant subspaces
Author Affiliations +
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.
© (2007) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Yue M. Lu and Minh N. Do "Sampling signals from a union of shift-invariant subspaces", Proc. SPIE 6701, Wavelets XII, 670122 (27 September 2007);


Cross-spectral measurement of neural signal transfer
Proceedings of SPIE (May 25 2004)
Adaptive inverse control
Proceedings of SPIE (August 01 1990)
Steerable filter for 3D euclidian motion
Proceedings of SPIE (September 23 1999)
General models for 1/f noise
Proceedings of SPIE (May 12 2003)

Back to Top