245 citations · 406 across the 13 of their papers we have counts for
5 papers · 1 filter
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…
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…
The Cramer-Rao Bound for Sparse Estimation
Zvika Ben-Haim, Yonina C. Eldar
The goal of this paper is to characterize the best achievable performance for the problem of estimating an unknown parameter having a sparse representation. Specifically, we consid…
Coherence-Based Performance Guarantees for Estimating a Sparse Vector Under Random Noise
Zvika Ben-Haim, Yonina C. Eldar, Michael Elad
We consider the problem of estimating a deterministic sparse vector x from underdetermined measurements Ax+w, where w represents white Gaussian noise and A is a given deterministic…
Blind Minimax Estimation
Zvika Ben-Haim, Yonina C. Eldar
We consider the linear regression problem of estimating an unknown, deterministic parameter vector based on measurements corrupted by colored Gaussian noise. We present and analyze…