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Estimation with maximum error requirements

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2 Author(s)
Ben-Haim, Z. ; Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel ; Eldar, Y.C.

We consider the problem of estimating a deterministic parameter vector x from observations y = Hx + w. where H is known and w is additive noise. We seek an estimator whose estimation error is within given limits, for as wide a range of conditions as possible. The error limit is a design choice, and is generally lower than the error provided by the well-known least-squares (LS) estimator. We develop estimators guaranteeing the required error for as large a parameter set as possible, and for as large a noise level as possible. We discuss methods for finding these estimators, and demonstrate that in many cases, the proposed estimators outperform the LS estimator.

Published in:

Electrical and Electronics Engineers in Israel, 2004. Proceedings. 2004 23rd IEEE Convention of

Date of Conference:

6-7 Sept. 2004