Exact Three-Dimensional Estimation in Blind Super-Resolution via Convex Optimization

In this work, we propose a general mathematical framework for blind three-dimensional super-resolution theory that recovers the continuous shifts and the amplitudes in a mixture of unknown waveforms upon using the received signal. We prove that the three-dimensional shifts, the amplitudes, and the unknown waveforms can all be recovered precisely and with high probability via convex programming when the number of the observed samples obeys...