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One-Bit Compressive Sampling with Time-Varying Thresholds: Maximum Likelihood and the Cramer-Rao Bound
Univ Florida, Dept Elect & Comp Engn, Gainesville, FL 32611 USA..
Univ Florida, Dept Elect & Comp Engn, Gainesville, FL 32611 USA..
Univ Florida, Dept Elect & Comp Engn, Gainesville, FL 32611 USA..
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control. Uppsala Univ, Dept Syst & Control, Uppsala, Sweden..ORCID iD: 0000-0002-7957-3711
2016 (English)In: 2016, 50Th Asilomar Conference On Signals, Systems And Computers / [ed] Matthews, M B, IEEE COMPUTER SOC , 2016, p. 399-403Conference paper, Published paper (Refereed)
Abstract [en]

This paper considers the problem of estimating the parameters of a noisy signal which has been quantized to one-bit via a time-varying thresholding operation. An expression for the Fisher information matrix (FIM) is derived for a generic deterministic signal parameterized by a vector beta when the noise is independent and identically distributed (i.i.d.) Gaussian with either known or unknown variance. The case of single sinusoidal parameter estimation is considered as a particular example, and the Cramer-Rao bounds (CRB) for amplitude, frequency, and phase estimators are computed for a variety of parameter values. A maximum likelihood (ML) estimator for the sinusoidal signal parameters is proposed, and its performance is compared with the CRB as a function of the number of observations.

Place, publisher, year, edition, pages
IEEE COMPUTER SOC , 2016. p. 399-403
Series
Conference Record of the Asilomar Conference on Signals Systems and Computers, ISSN 1058-6393
National Category
Computer and Information Sciences
Identifiers
URN: urn:nbn:se:uu:diva-342150DOI: 10.1109/ACSSC.2016.7869068ISI: 000406057400070ISBN: 978-1-5386-3954-2 OAI: oai:DiVA.org:uu-342150DiVA, id: diva2:1184795
Conference
50th Asilomar Conference on Signals, Systems, and Computers (ASILOMARSSC), NOV 06-09, 2016, Pacific Grove, CA
Available from: 2018-02-22 Created: 2018-02-22 Last updated: 2018-02-22Bibliographically approved

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Stoica, Petre

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