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Stability in unlimited sampling
José Luis Romero, Irina Shafkulovska
Folded sampling replaces clipping in analog-to-digital converters by reducing samples modulo a threshold, thereby avoiding saturation artifacts. We study the reconstruction of band…
Model agnostic signal encoding by leaky integrate and fire, performance and uncertainty
Diana Carbajal, José Luis Romero
Integrate-and-fire is a resource efficient time-encoding mechanism that summarizes into a signed spike train those time intervals where a signal's charge exceeds a certain threshol…
Hölder-Continuity of Extreme Spectral Values of Pseudodifferential Operators, Gabor Frame Bounds, and Saturation
Karlheinz Gröchenig, José Luis Romero, Michael Speckbacher
We build on our recent results on the Lipschitz dependence of the extreme spectral values of one-parameter families of pseudodifferential operators with symbols in a weighted Sjöst…
Lipschitz Continuity of Spectra of Pseudodifferential Operators in a Weighted Sjöstrand Class and Gabor Frame Bounds
Karlheinz Gröchenig, José Luis Romero, Michael Speckbacher
We study one-parameter families of pseudodifferential operators whose Weyl symbols are obtained by dilation and a smooth deformation of a symbol in a weighted Sjöstrand class. We s…