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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…
On the Sensitivity of Noncoherent Capacity to the Channel Model
Giuseppe Durisi, Veniamin I. Morgenshtern, Helmut Bölcskei
The noncoherent capacity of stationary discrete-time fading channels is known to be very sensitive to the fine details of the channel model. More specifically, the measure of the s…