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20072025
most citedCoherence-Based Performance Guarantees for Estimating a Sparse Vector Under Random Noise

245 citations · 406 across the 13 of their papers we have counts for

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Showing 2010Show all

5 papers · 1 filter

math.ST2010

A Lower Bound on the Estimator Variance for the Sparse Linear Model

Sebastian Schmutzhard, Alexander Jung, Franz Hlawatsch +2

We study the performance of estimators of a sparse nonrandom vector based on an observation which is linearly transformed and corrupted by additive white Gaussian noise. Using the…

cs.IT2010★ 39 cited

Performance Bounds and Design Criteria for Estimating Finite Rate of Innovation Signals

Zvika Ben-Haim, Tomer Michaeli, Yonina C. Eldar

In this paper, we consider the problem of estimating finite rate of innovation (FRI) signals from noisy measurements, and specifically analyze the interaction between FRI technique…

cs.IT2010★ 68 cited

Near-Oracle Performance of Greedy Block-Sparse Estimation Techniques from Noisy Measurements

Zvika Ben-Haim, Yonina C. Eldar

This paper examines the ability of greedy algorithms to estimate a block sparse parameter vector from noisy measurements. In particular, block sparse versions of the orthogonal mat…

math.ST2010★ 1 cited

Unbiased Estimation of a Sparse Vector in White Gaussian Noise

Alexander Jung, Zvika Ben-Haim, Franz Hlawatsch +1

We consider unbiased estimation of a sparse nonrandom vector corrupted by additive white Gaussian noise. We show that while there are infinitely many unbiased estimators for this p…

cs.IT2010★ 3 cited

On Unbiased Estimation of Sparse Vectors Corrupted by Gaussian Noise

Alexander Jung, Zvika Ben-Haim, Franz Hlawatsch +1

We consider the estimation of a sparse parameter vector from measurements corrupted by white Gaussian noise. Our focus is on unbiased estimation as a setting under which the diffic…