On the Achievability of Cramér–Rao Bound in Noisy Compressed Sensing
نویسندگان
چکیده
منابع مشابه
On the Achievability of Cramér-Rao Bound In Noisy Compressed Sensing
Recently, it has been proved in [1] that in noisy compressed sensing, a joint typical estimator can asymptotically achieve the CramérRao lower bound of the problem. To prove this result, [1] used a lemma, which is provided in [2], that comprises the main building block of the proof. This lemma is based on the assumption of Gaussianity of the measurement matrix and its randomness in the domain o...
متن کاملComment on "Asymptotic Achievability of the Cramér-Rao Bound for Noisy Compressive Sampling"
In [1], we proved the asymptotic achievability of the Cramér-Rao bound in the compressive sensing setting in the linear sparsity regime. In the proof, we used an erroneous closed-form expression of ασ for the genie-aided Cramér-Rao bound σTr(AIAI) −1 from Lemma 3.5, which appears in Eqs. (20) and (29). The proof, however, holds if one avoids replacing σTr(AIAI) −1 by the expression of Lemma 3.5...
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ژورنال
عنوان ژورنال: IEEE Transactions on Signal Processing
سال: 2012
ISSN: 1053-587X,1941-0476
DOI: 10.1109/tsp.2011.2171953