On Send-on-Delta sampling of bandlimited functions

Send-on-Delta sampling is analyzed for both the Paley-Wiener space and for one restricted Bernstein space. It is shown that the sampling behavior of Send-on-Delta strongly depends on the space of functions considered. For functions in the analyzed Paley-Wiener space, a method for approximate reconstruction is given. In the restricted Bernstein space, Send-on-Delta sampling can be adapted in such a way that precise reconstruction is possible.