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Bandwidth-constrained distributed estimation for wireless sensor Networks-part I: Gaussian case
Abstract
We study deterministic mean-location parameter estimation when only quantized versions of the original observations are available, due to bandwidth constraints. When the dynamic range of the parameter is small or comparable with the noise variance, we introduce a class of maximum-likelihood estimators that require transmitting just one bit per sensor to achieve an estimation variance close to that of the (clairvoyant) sample mean estimator. When the dynamic range is comparable or larger than the noise standard deviation, we show that an optimum quantization step exists to achieve the best possible variance for a given bandwidth constraint. We will also establish that in certain cases the sample mean estimator formed by quantized observations is preferable for complexity reasons. We finally touch upon algorithm implementation issues and guarantee that all the numerical maximizations required by the proposed estimators are concave.
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Citations
Cites
Boyd, S., & Vandenberghe, L. (2004) · doi:10.1017/cbo9780511804441 · Cited by 56,601
Cited by
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Cattivelli, F. S., Lopes, C. G., & Sayed, A. H. (2008) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2007.913164 · Cited by 623
Distributed Kalman filtering based on consensus strategies
Carli, R., Chiuso, A., Schenato, L., & Zampieri, S. (2008) · IEEE Journal on Selected Areas in Communications · doi:10.1109/jsac.2008.080505 · Cited by 511
Stochastic Event-Triggered Sensor Schedule for Remote State Estimation
Han, D., Mo, Y., Wu, J., Weerakkody, S., Sinopoli, B., & Shi, L. (2015) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2015.2406975 · Cited by 393
Distributed compression-estimation using wireless sensor networks
Xiao, J.-J., Ribeiro, A., Luo, Z.-Q., & Giannakis, G. B. (2006) · IEEE Signal Processing Magazine · doi:10.1109/msp.2006.1657815 · Cited by 347
Self-citationDistributed Learning in Wireless Sensor Networks
Predd, J. B., Kulkarni, S. R., & Poor, H. V. (2007) · Wireless Sensor Networks · doi:10.1002/9780470061794.ch8 · Cited by 264
Metadata
- Authors
- Ribeiro, A., & Giannakis, G. B.
- Venue
- IEEE Transactions on Signal Processing
- Published
- 2006-03
- Volume
- 54
- Issue
- 3
- Pages
- 1131-1143
- ISSN
- 1053-587X (ISSN-L)
- OpenAlex
- W2154828437
- Cited by
- 557
- References
- 1
- FWCI
- 53.84
- Type
- journal article
- Language
- en
- Open access
- closed
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