منابع مشابه
Uniform recovery of fusion frame structured sparse signals
We consider the problem of recovering fusion frame sparse signals from incomplete measurements. These signals are composed of a small number of nonzero blocks taken from a family of subspaces. First, we show that, by using a-priori knowledge of a coherence parameter associated with the angles between the subspaces, one can uniformly recover fusion frame sparse signals with a significantly reduc...
متن کاملSparse Recovery of Fusion Frame Structured Signals
Fusion frames are collection of subspaces which provide a redundant representation of signal spaces. They generalize classical frames by replacing frame vectors with frame subspaces. This paper considers the sparse recovery of a signal from a fusion frame. We use a block sparsity model for fusion frames and then show that sparse signals under this model can be compressively sampled and reconstr...
متن کاملTight Measurement Bounds for Exact Recovery of Structured Sparse Signals
Standard compressive sensing results state that to exactly recover an s sparse signal in R, one requires O(s·log p) measurements. While this bound is extremely useful in practice, often real world signals are not only sparse, but also exhibit structure in the sparsity pattern. We focus on group-structured patterns in this paper. Under this model, groups of signal coefficients are active (or ina...
متن کاملLocal sparsity and recovery of fusion frames structured signals
The problem of recovering complex signals from low quality sensing devices is analyzed via a combination of tools from signal processing and harmonic analysis. By using the rich structure offered by the recent development in fusion frames, we introduce a framework for splitting the complex information into local pieces. Each piece of information is measured by potentially very low quality senso...
متن کاملSupport Recovery of Sparse Signals
We consider the problem of exact support recovery of sparse signals via noisy measurements. The main focus is the sufficient and necessary conditions on the number of measurements for support recovery to be reliable. By drawing an analogy between the problem of support recovery and the problem of channel coding over the Gaussian multiple access channel, and exploiting mathematical tools develop...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2016
ISSN: 1063-5203
DOI: 10.1016/j.acha.2016.03.006