81 citations · 338 across the 34 of their papers we have counts for
4 papers · 1 filter
PhaseJumps: fast computation of zeros from planar grid samples
Antti Haimi, Günther Koliander, José Luis Romero
We consider complex-valued functions on the complex plane and the task of computing their zeros from samples taken along a finite grid. We introduce PhaseJumps, an algorithm based…
Efficient computation of the zeros of the Bargmann transform under additive white noise
Luis Alberto Escudero, Naomi Feldheim, Günther Koliander +1
We study the computation of the zero set of the Bargmann transform of a signal contaminated with complex white noise, or, equivalently, the computation of the zeros of its short-ti…
Filtering with Wavelet Zeros and Gaussian Analytic Functions
Luis Daniel Abreu, Antti Haimi, Günther Koliander +1
We present the continuous wavelet transform (WT) of white Gaussian noise and establish a connection to the theory of Gaussian analytic functions. Based on this connection, we propo…
Computing reconstructions from nonuniform Fourier samples: Universality of stability barriers and stable sampling rates
Ben Adcock, Milana Gataric, José Luis Romero
We study the problem of recovering an unknown compactly-supported multivariate function from samples of its Fourier transform that are acquired nonuniformly, i.e. not necessarily o…