Atomic Norm Denoising In Blind Two-Dimensional Super-Resolution

In this work, we develop a new framework for denoising in blind two-dimensional (2D) super-resolution that recovers a set of 2D continuous parameters as well as unknown waveforms from noisy samples. We apply the atomic norm to de-noise a weighted sum of time-delayed and frequency-shifted unknown waveforms. Moreover, we derive the theoretical mean-squared error of the estimator, and we show that it depends on the noise level and other system...