3 accepted papers
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 wav…
In this paper, we provide a new mathematical framework for identifying the parameters of a linear system from its response to multiple unknown waveforms. We assume that the system response is given by an unknown number of scaled versions of time-delayed and frequency-shifted unknown waveforms. Then,…
In this paper, we propose a new regularized robust estimation approach based on the robust τ -estimator applied to linear ill-posed problems in the presence of noise outliers. Additionally, we introduce a new approach to obtain the optimal regularization parameter for the proposed robust estimator b…