81 citations · 338 across the 34 of their papers we have counts for
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On Minimal Trajectories for Mobile Sampling of Bandlimited Fields
Karlheinz Gröchenig, José Luis Romero, Jayakrishnan Unnikrishnan +1
We study the design of sampling trajectories for stable sampling and the reconstruction of bandlimited spatial fields using mobile sensors. The spectrum is assumed to be a symmetri…
Deformation of Gabor systems
Karlheinz Gröchenig, Joaquim Ortega-Cerdà, José Luis Romero
We introduce a new notion for the deformation of Gabor systems. Such deformations are in general nonlinear and, in particular, include the standard jitter error and linear deformat…
Exact and approximate expansions with pure Gaussian wavepackets
Maarten V. de Hoop, Karlheinz Gröchenig, José Luis Romero
We construct frames of wavepackets produced by parabolic dilation, rotation and translation of (a finite sum of) Gaussians and give asymptotics on the analogue of Daubechies frame…