Jitter compensation in sampling via polynomial least squares estimation

Sampling error due to jitter, or noise in the sample times, affects the precision of analog-to-digital converters in a significant, nonlinear fashion. In this paper, a polynomial least squares (PLS) estimator is derived for an observation model incorporating both independent jitter and additive nois...

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Main Authors: Weller, Daniel Stuart, Goyal, Vivek K.
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Format: Article
Language:en_US
Published: Institute of Electrical and Electronics Engineers (IEEE) 2012
Online Access:http://hdl.handle.net/1721.1/71801
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author Weller, Daniel Stuart
Goyal, Vivek K.
author2 Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
author_facet Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Weller, Daniel Stuart
Goyal, Vivek K.
author_sort Weller, Daniel Stuart
collection MIT
description Sampling error due to jitter, or noise in the sample times, affects the precision of analog-to-digital converters in a significant, nonlinear fashion. In this paper, a polynomial least squares (PLS) estimator is derived for an observation model incorporating both independent jitter and additive noise, as an alternative to the linear least squares (LLS) estimator. After deriving this estimator, its implementation is discussed, and it is simulated using Matlab. In simulations, the PLS estimator is shown to improve the mean squared error performance by up to 30 percent versus the optimal linear estimator.
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spelling mit-1721.1/718012022-09-29T19:12:48Z Jitter compensation in sampling via polynomial least squares estimation Weller, Daniel Stuart Goyal, Vivek K. Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Massachusetts Institute of Technology. Research Laboratory of Electronics Goyal, Vivek K. Weller, Daniel Stuart Goyal, Vivek K. Sampling error due to jitter, or noise in the sample times, affects the precision of analog-to-digital converters in a significant, nonlinear fashion. In this paper, a polynomial least squares (PLS) estimator is derived for an observation model incorporating both independent jitter and additive noise, as an alternative to the linear least squares (LLS) estimator. After deriving this estimator, its implementation is discussed, and it is simulated using Matlab. In simulations, the PLS estimator is shown to improve the mean squared error performance by up to 30 percent versus the optimal linear estimator. National Defense Science and Engineering Graduate Fellowship National Science Foundation (U.S.) (Career Grant CCF-0643836) Texas Instruments Leadership University Consortium Program 2012-07-25T16:13:47Z 2012-07-25T16:13:47Z 2009-05 2009-04 Article http://purl.org/eprint/type/ConferencePaper 1520-6149 978-1-4244-2354-5 978-1-4244-2353-8 http://hdl.handle.net/1721.1/71801 Weller, Daniel S., and Vivek K. Goyal. “Jitter Compensation in Sampling via Polynomial Least Squares Estimation.” IEEE, 2009. 3341–3344. © Copyright 2009 IEEE en_US http://dx.doi.org/10.1109/ICASSP.2009.4960340 Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing, 2009 Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf Institute of Electrical and Electronics Engineers (IEEE) IEEE
spellingShingle Weller, Daniel Stuart
Goyal, Vivek K.
Jitter compensation in sampling via polynomial least squares estimation
title Jitter compensation in sampling via polynomial least squares estimation
title_full Jitter compensation in sampling via polynomial least squares estimation
title_fullStr Jitter compensation in sampling via polynomial least squares estimation
title_full_unstemmed Jitter compensation in sampling via polynomial least squares estimation
title_short Jitter compensation in sampling via polynomial least squares estimation
title_sort jitter compensation in sampling via polynomial least squares estimation
url http://hdl.handle.net/1721.1/71801
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