  In this paper the problem of blind super-resolution of sparse signals using
arbitrary sampling scheme and atomic lift is discussed. After comprehensive
description on blind superresolution problem, it is shown that using Prolate
Spheroidal Wave Functions (PSWFs), it is possible to derive a new SemiDefinite
Program (SDP) for the blind super-resolution problem. Unlike the previous
results, the newly proposed SDP can localize spikes without magnitude recovery.
Several numerical simulations were conducted to compare the performance of the
proposed method with the recent related research.
