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Bayesian Parameter Estimation Using Single-Bit Dithered Quantization | IEEE Journals & Magazine | IEEE Xplore

Bayesian Parameter Estimation Using Single-Bit Dithered Quantization


Abstract:

The Bayesian parameter estimation problem using a single-bit dithered quantizer is considered. This problem arises, e.g., for channel estimation under low-precision analo...Show More

Abstract:

The Bayesian parameter estimation problem using a single-bit dithered quantizer is considered. This problem arises, e.g., for channel estimation under low-precision analog-to-digital conversion (ADC) at the receiver. Based on the Bayesian Cramér-Rao lower bound (CRLB), bounds on the mean squared error are derived that hold for all dither strategies with strictly causal adaptive processing of the quantizer output sequence. In particular, any estimator using the binary quantizer output sequence is asymptotically (in the sequence length) at least 10 log10 (π/2) ≈ 1.96 dB worse than the minimum mean squared error estimator using continuous observations, for any dither strategy. Moreover, dither strategies are designed that are shown by simulation to closely approach the derived lower bounds.
Published in: IEEE Transactions on Signal Processing ( Volume: 60, Issue: 6, June 2012)
Page(s): 2713 - 2726
Date of Publication: 13 March 2012

ISSN Information:

Author image of Georg Zeitler
Institute for Communications Engineering, Technische Universität München, Munchen, Germany
Georg Zeitler (S'09) received the M.S. degree in electrical engineering and computer science from the University of Illinois at Urbana-Champaign in 2007.
Since 2007, he has been a Research and Teaching Assistant at Technische Universität München, Germany, working toward the Dr.-Ing. degree. His research interests include the effects and optimization of low-precision quantization in communication systems.
Mr. Zeitler receive...Show More
Georg Zeitler (S'09) received the M.S. degree in electrical engineering and computer science from the University of Illinois at Urbana-Champaign in 2007.
Since 2007, he has been a Research and Teaching Assistant at Technische Universität München, Germany, working toward the Dr.-Ing. degree. His research interests include the effects and optimization of low-precision quantization in communication systems.
Mr. Zeitler receive...View more
Author image of Gerhard Kramer
Institute for Communications Engineering, Technische Universität München, Munchen, Germany
Gerhard Kramer (S'91–M'94–SM'08–F'10) received the Dr.sc.techn. degree from the ETH Zürich in 1998.
He is the Alexander von Humboldt Professor and Head of the Institute for Communications Engineering, Technische Universität München (TUM), Germany. From 1998 to 2000, he was with Endora Tech AG, Basel, Switzerland, as a communications engineering consultant. From 2000 to 2008, he was with the Math Center, Bell Labs, Murray H...Show More
Gerhard Kramer (S'91–M'94–SM'08–F'10) received the Dr.sc.techn. degree from the ETH Zürich in 1998.
He is the Alexander von Humboldt Professor and Head of the Institute for Communications Engineering, Technische Universität München (TUM), Germany. From 1998 to 2000, he was with Endora Tech AG, Basel, Switzerland, as a communications engineering consultant. From 2000 to 2008, he was with the Math Center, Bell Labs, Murray H...View more
Author image of Andrew C. Singer
Department of Electrical and Computer Engineering, University of Illinois, Urbana-Champaign, Champaign, IL, USA
Andrew C. Singer (S'92–M'96–SM'05–F'10) received the S.B., S.M., and Ph.D. degrees, all in electrical engineering and computer science, from the Massachusetts Institute of Technology, Cambridge.
Since 1998, he has been on the faculty of the Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, where he is currently a Professor in the Electrical and Computer Engineering Department an...Show More
Andrew C. Singer (S'92–M'96–SM'05–F'10) received the S.B., S.M., and Ph.D. degrees, all in electrical engineering and computer science, from the Massachusetts Institute of Technology, Cambridge.
Since 1998, he has been on the faculty of the Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, where he is currently a Professor in the Electrical and Computer Engineering Department an...View more

Author image of Georg Zeitler
Institute for Communications Engineering, Technische Universität München, Munchen, Germany
Georg Zeitler (S'09) received the M.S. degree in electrical engineering and computer science from the University of Illinois at Urbana-Champaign in 2007.
Since 2007, he has been a Research and Teaching Assistant at Technische Universität München, Germany, working toward the Dr.-Ing. degree. His research interests include the effects and optimization of low-precision quantization in communication systems.
Mr. Zeitler received a Best Paper award at the IEEE International Conference on Communications (ICC) in 2009.
Georg Zeitler (S'09) received the M.S. degree in electrical engineering and computer science from the University of Illinois at Urbana-Champaign in 2007.
Since 2007, he has been a Research and Teaching Assistant at Technische Universität München, Germany, working toward the Dr.-Ing. degree. His research interests include the effects and optimization of low-precision quantization in communication systems.
Mr. Zeitler received a Best Paper award at the IEEE International Conference on Communications (ICC) in 2009.View more
Author image of Gerhard Kramer
Institute for Communications Engineering, Technische Universität München, Munchen, Germany
Gerhard Kramer (S'91–M'94–SM'08–F'10) received the Dr.sc.techn. degree from the ETH Zürich in 1998.
He is the Alexander von Humboldt Professor and Head of the Institute for Communications Engineering, Technische Universität München (TUM), Germany. From 1998 to 2000, he was with Endora Tech AG, Basel, Switzerland, as a communications engineering consultant. From 2000 to 2008, he was with the Math Center, Bell Labs, Murray Hill, NJ, as a Member of Technical Staff. He joined the University of Southern California as Professor in 2009 and TUM in 2010.
Dr. Kramer was awarded the Vodafone Innovations Prize in 2011, an Alexander von Humboldt Professorship in 2010, the IEEE Communications Society Stephen O. Rice Prize paper award in 2005, a Bell Labs President's Gold Award in 2003, and an ETH Medal in 1998. He is serving as 1st Vice President of the IEEE Information Theory Society in 2012 and has been on the Society's Board of Governors since 2009. He was an Associate Editor, Guest Editor, and Publications Editor for the IEEE Transactions on information theory from 2004 to 2008. He was a member of the Emerging Technologies Committee of the IEEE Communications Society from 2009 to 2011.
Gerhard Kramer (S'91–M'94–SM'08–F'10) received the Dr.sc.techn. degree from the ETH Zürich in 1998.
He is the Alexander von Humboldt Professor and Head of the Institute for Communications Engineering, Technische Universität München (TUM), Germany. From 1998 to 2000, he was with Endora Tech AG, Basel, Switzerland, as a communications engineering consultant. From 2000 to 2008, he was with the Math Center, Bell Labs, Murray Hill, NJ, as a Member of Technical Staff. He joined the University of Southern California as Professor in 2009 and TUM in 2010.
Dr. Kramer was awarded the Vodafone Innovations Prize in 2011, an Alexander von Humboldt Professorship in 2010, the IEEE Communications Society Stephen O. Rice Prize paper award in 2005, a Bell Labs President's Gold Award in 2003, and an ETH Medal in 1998. He is serving as 1st Vice President of the IEEE Information Theory Society in 2012 and has been on the Society's Board of Governors since 2009. He was an Associate Editor, Guest Editor, and Publications Editor for the IEEE Transactions on information theory from 2004 to 2008. He was a member of the Emerging Technologies Committee of the IEEE Communications Society from 2009 to 2011.View more
Author image of Andrew C. Singer
Department of Electrical and Computer Engineering, University of Illinois, Urbana-Champaign, Champaign, IL, USA
Andrew C. Singer (S'92–M'96–SM'05–F'10) received the S.B., S.M., and Ph.D. degrees, all in electrical engineering and computer science, from the Massachusetts Institute of Technology, Cambridge.
Since 1998, he has been on the faculty of the Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, where he is currently a Professor in the Electrical and Computer Engineering Department and Director of the Technology Entrepreneur Center in the College of Engineering. Prior to joining the faculty at Illinois, he was a Research Scientist at Sanders, A Lockheed Martin Company in Manchester, NH. He was also co-founder of Intersymbol Communications, Inc. in Champaign IL. His research interests include signal processing and communication systems.
Dr. Singer received the National Science Foundation CAREER Award in 2000, the Xerox Faculty Research Award in 2001; was named a Willett Faculty Scholar in 2002, and was awarded the IEEE Journal of solid-state circuits Best Paper Award in 2006 and the IEEE Signal Processing Magazine Award in 2008. He has served as an Associate Editor for the IEEE Transactions on signal processing and as a Guest Editor for special issues of the IEEE Transactions on information theory, IEEE Transactions on communications, and IEEE Journal of selected topics in signal processing. He is a member of the MIT Educational Council and of Eta Kappa Nu and Tau Beta Pi.
Andrew C. Singer (S'92–M'96–SM'05–F'10) received the S.B., S.M., and Ph.D. degrees, all in electrical engineering and computer science, from the Massachusetts Institute of Technology, Cambridge.
Since 1998, he has been on the faculty of the Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, where he is currently a Professor in the Electrical and Computer Engineering Department and Director of the Technology Entrepreneur Center in the College of Engineering. Prior to joining the faculty at Illinois, he was a Research Scientist at Sanders, A Lockheed Martin Company in Manchester, NH. He was also co-founder of Intersymbol Communications, Inc. in Champaign IL. His research interests include signal processing and communication systems.
Dr. Singer received the National Science Foundation CAREER Award in 2000, the Xerox Faculty Research Award in 2001; was named a Willett Faculty Scholar in 2002, and was awarded the IEEE Journal of solid-state circuits Best Paper Award in 2006 and the IEEE Signal Processing Magazine Award in 2008. He has served as an Associate Editor for the IEEE Transactions on signal processing and as a Guest Editor for special issues of the IEEE Transactions on information theory, IEEE Transactions on communications, and IEEE Journal of selected topics in signal processing. He is a member of the MIT Educational Council and of Eta Kappa Nu and Tau Beta Pi.View more
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