Mathematical Theory of Atomic Norm Denoising in Blind Two-Dimensional Super-Resolution
Mathematical Theory of Atomic Norm Denoising in Blind Two-Dimensional Super-Resolution
This paper develops a new mathematical framework for denoising in blind two-dimensional (2D) super-resolution upon using the atomic norm. The framework denoises a signal that consists of a weighted sum of an unknown number of time-delayed and frequency-shifted unknown waveforms from its noisy measurements. Moreover, the framework also provides an …