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On Unlimited Sampling and Reconstruction
Ayush Bhandari, Felix Krahmer, Ramesh Raskar
Shannon's sampling theorem is one of the cornerstone topics that is well understood and explored, both mathematically and algorithmically. That said, practical realization of this…
On Unlimited Sampling
Ayush Bhandari, Felix Krahmer, Ramesh Raskar
Shannon's sampling theorem provides a link between the continuous and the discrete realms stating that bandlimited signals are uniquely determined by its values on a discrete set.…
Sampling Without Time: Recovering Echoes of Light via Temporal Phase Retrieval
Ayush Bhandari, Aurelien Bourquard, Ramesh Raskar
This paper considers the problem of sampling and reconstruction of a continuous-time sparse signal without assuming the knowledge of the sampling instants or the sampling rate. Thi…
Super-Resolution in Phase Space
Ayush Bhandari, Yonina Eldar, Ramesh Raskar
This work considers the problem of super-resolution. The goal is to resolve a Dirac distribution from knowledge of its discrete, low-pass, Fourier measurements. Classically, such p…