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ICASSP
2008
IEEE
15 years 3 months ago
Wavelet-domain compressive signal reconstruction using a Hidden Markov Tree model
Compressive sensing aims to recover a sparse or compressible signal from a small set of projections onto random vectors; conventional solutions involve linear programming or greed...
Marco F. Duarte, Michael B. Wakin, Richard G. Bara...
CDC
2010
IEEE
154views Control Systems» more  CDC 2010»
14 years 4 months ago
Concentration of measure inequalities for compressive Toeplitz matrices with applications to detection and system identification
In this paper, we derive concentration of measure inequalities for compressive Toeplitz matrices (having fewer rows than columns) with entries drawn from an independent and identic...
Borhan Molazem Sanandaji, Tyrone L. Vincent, Micha...
CDC
2010
IEEE
140views Control Systems» more  CDC 2010»
14 years 4 months ago
On the observability of linear systems from random, compressive measurements
Abstract-- Recovering or estimating the initial state of a highdimensional system can require a potentially large number of measurements. In this paper, we explain how this burden ...
Michael B. Wakin, Borhan Molazem Sanandaji, Tyrone...
TIT
2010
100views Education» more  TIT 2010»
14 years 4 months ago
Theoretical and empirical results for recovery from multiple measurements
The joint-sparse recovery problem aims to recover, from sets of compressed measurements, unknown sparse matrices with nonzero entries restricted to a subset of rows. This is an ex...
Ewout van den Berg, Michael P. Friedlander
TSP
2010
14 years 4 months ago
Block-sparse signals: uncertainty relations and efficient recovery
We consider efficient methods for the recovery of block-sparse signals--i.e., sparse signals that have nonzero entries occurring in clusters--from an underdetermined system of line...
Yonina C. Eldar, Patrick Kuppinger, Helmut Bö...