Error-rate dependence of non-bandlimited signals with finite rate of innovation

Abstract — Recent results in sampling theory [1] showed that perfect reconstruction of non-bandlimited signals with finite rate of innovation can be achieved perform-ing uniform sampling at or above the rate of innovation. We study analog-to-digital (A/D) conversion of these sig-nals, introducing two types of ovrsampling and consistent reconstruction. In this work, we consider periodic streams ofK Diracs, that is, x(t) = k∈Z ckδ(t − tk) = m∈Z X[m]e j(2pimt)/τ with X[m] =