Abstract
We mainly study the random sampling and reconstruction in multiply generated shift-invariant subspaces Vp,q(Φ) of mixed Lebesgue spaces Lp,q(R×Rd). Under suitable conditions for the generators Φ, we can prove that if the sampling sizes are large enough for both variables, the sampling stability holds with high probability for all functions in Vp,q(Φ) whose energy is concentrated on a compact subset. Finally, a reconstruction algorithm based on random samples is given for functions in a finite dimensional subspace.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.