1.3k citations · 1.4k across the 5 of their papers we have counts for
6 papers
Uncertainty Relations and Sparse Signal Recovery for Pairs of General Signal Sets
Patrick Kuppinger, Giuseppe Durisi, Helmut Bölcskei
We present an uncertainty relation for the representation of signals in two different general (possibly redundant or incomplete) signal sets. This uncertainty relation is relevant…
Recovery of Sparsely Corrupted Signals
Christoph Studer, Patrick Kuppinger, Graeme Pope +1
We investigate the recovery of signals exhibiting a sparse representation in a general (i.e., possibly redundant or incomplete) dictionary that are corrupted by additive noise admi…
Where is Randomness Needed to Break the Square-Root Bottleneck?
Patrick Kuppinger, Giuseppe Durisi, Helmut Bölcskei
As shown by Tropp, 2008, for the concatenation of two orthonormal bases (ONBs), breaking the square-root bottleneck in compressed sensing does not require randomization over all th…
Improved Sparsity Thresholds Through Dictionary Splitting
Patrick Kuppinger, Giuseppe Durisi, Helmut Bölcskei
Known sparsity thresholds for basis pursuit to deliver the maximally sparse solution of the compressed sensing recovery problem typically depend on the dictionary's coherence. Whil…
Compressed Sensing of Block-Sparse Signals: Uncertainty Relations and Efficient Recovery
Yonina C. Eldar, Patrick Kuppinger, Helmut Bölcskei
We consider compressed sensing of block-sparse signals, i.e., sparse signals that have nonzero coefficients occurring in clusters. An uncertainty relation for block-sparse signals…
Distributed Transmit Diversity in Relay Networks
Cemal Akçaba, Patrick Kuppinger, Helmut Bölcskei
We analyze fading relay networks, where a single-antenna source-destination terminal pair communicates through a set of half-duplex single-antenna relays using a two-hop protocol w…