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Estimation under communication constraints: algorithms and asymptotic performance

Abstract : With recent advances in sensing and communication technology, sensor networks have emerged as a new field in signal processing. One of the applications of this new field is remote estimation, where the sensors gather information and send it to some distant point where estimation is carried out. For overcoming the new design challenges brought by this approach (constrained energy, bandwidth and complexity), quantization of the measurements can be considered. Based on this context, we study the problem of estimation based on quantized measurements. We focus mainly on the scalar location parameter estimation problem, the parameter is considered to be either constant or varying according to a slow Wiener process model. We present estimation algorithms to solve this problem and, based on performance analysis, we show the importance of quantizer range adaptiveness for obtaining optimal performance. We propose a low complexity adaptive scheme that jointly estimates the parameter and updates the quantizer thresholds, achieving in this way asymptotically optimal performance. With only 4 or 5 bits of resolution, the asymptotically optimal performance for uniform quantization is shown to be very close to the continuous measurement estimation performance. Finally, we propose a high resolution approach to obtain an approximation of the optimal nonuniform quantization thresholds for parameter estimation and also to obtain an analytical approximation of the estimation performance based on quantized measurements.
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https://tel.archives-ouvertes.fr/tel-00877073
Contributor : Rodrigo Cabral Farias <>
Submitted on : Friday, October 25, 2013 - 5:47:16 PM
Last modification on : Thursday, November 19, 2020 - 1:01:10 PM
Long-term archiving on: : Monday, January 27, 2014 - 1:36:41 PM

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  • HAL Id : tel-00877073, version 1

Citation

Rodrigo Cabral Farias. Estimation under communication constraints: algorithms and asymptotic performance. Signal and Image processing. Université de Grenoble, 2013. English. ⟨tel-00877073v1⟩

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