Signal recovery in shift-invariant spaces from partial frequency data

This paper studies conditions under which a signal can be reconstructed from partial frequency content. We focus on signals in shift-invariant spaces generated by multiple generators. For these signals, we derive a lower bound on the necessary signal bandwidth as well as sufficient conditions on the generators such that signal recovery is possible. When the available frequency content is not sufficient to recover the signal, we propose appropriate pre-processing that can improve the reconstruction ability.