Sampling signals from a union of shift-invariant subspaces

Yue M. Lu; Minh N. Do

doi:10.1117/12.733331

27 September 2007 Sampling signals from a union of shift-invariant subspaces

Yue M. Lu, Minh N. Do

Proceedings Volume 6701, Wavelets XII; 670122 (2007) https://doi.org/10.1117/12.733331
Event: Optical Engineering + Applications, 2007, San Diego, California, United States

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.

Citation Download Citation

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); https://doi.org/10.1117/12.733331

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available