119 citations · 222 across the 16 of their papers we have counts for
4 papers · 1 filter
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…
Rate-Distortion Theory for General Sets and Measures
Erwin Riegler, Günther Koliander, Helmut Bölcskei
This paper is concerned with a rate-distortion theory for sequences of i.i.d. random variables with general distribution supported on general sets including manifolds and fractal s…
Lossless Analog Compression
Giovanni Alberti, Helmut Bölcskei, Camillo De Lellis +2
We establish the fundamental limits of lossless analog compression by considering the recovery of arbitrary m-dimensional real random vectors x from the noiseless linear measuremen…
Information Bottleneck on General Alphabets
Georg Pichler, Günther Koliander
We prove rigorously a source coding theorem that can probably be considered folklore, a generalization to arbitrary alphabets of a problem motivated by the Information Bottleneck m…