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Quantized Steady-State Kalman Filter in a Wireless Sensor Network

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Book cover Advances in Swarm Intelligence (ICSI 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7332))

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Abstract

This paper addresses the problem of state estimation in the wireless sensor network (WSN). Firstly, the quantized Kalman filter based on the quantized observations is presented. Focuses are on tradeoff between the communication energy and the estimation accuracy. A closed-form solution to the optimization problem for minimizing the energy consumption is given, where the total energy consumption is minimized subject to a constraint on the stead state error covariance. An illustrative numerical example is provided to demonstrate the usefulness and flexibility of the proposed approach.

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References

  1. Curry, R.E.: Estimation and Control with Quantized Measurements. MIT Press (1970)

    Google Scholar 

  2. Curry, R.E., Velde, W.V., Potter, J.: Nonlinear Estimation with Quantized Measurements-PCM, Predictive Quantization, and Data Compression. IEEE Trans. on Information Theory 16(2), 152–161 (1970)

    Article  MATH  Google Scholar 

  3. Clements, K., Haddad, R.: Approximate Estimation for Systems with Quantized Data. IEEE Trans. on Automatic Control 17(2), 235–239 (1972)

    Article  MATH  Google Scholar 

  4. Sviestins, E., Wigren, T.: Optimal Recursive State Estimation with Quantized Measurements. IEEE Trans. on Automatic Control 45(4), 762–767 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  5. Sviestins, E., Wigren, T.: Nonlinear Techniques for Climb/Descent Rate Estimation in ATC Systems. IEE on Control Systems Technology 9(1), 163–174 (2001)

    Article  Google Scholar 

  6. Ruan, Y., Willett, P., Marrs, A.: Fusion of Quantized Measurements via Particle Filtering. In: 2003 IEEE Aerospace Conference, vol. 4, pp. 1967–1978 (2003)

    Google Scholar 

  7. Karlsson, R., Gustafsson, F.: Filtering and Estimation for Quantized Sensor Information. Technical Report LiTH-ISY-R-2674, Department of Electrical Engineering, Linkoping University, SE-581 83 Linkoping, Sweden (2005)

    Google Scholar 

  8. Ruan, Y., Willett, P., Marrs, A.: Practical fusion of quantized measurements via particle filtering. IEEE Trans. on Aerospace and Electronic Systems 44(1), 15–29 (2008)

    Article  Google Scholar 

  9. Moschitta, A., Carbone, P.: Noise Parameter Estimation From Quantized Data. IEEE Trans. on Instrumentation and Measurement 56(3), 736–742 (2007)

    Article  Google Scholar 

  10. Sun, S.L., Lin, J.Y., Xie, L.H., Xiao, W.D.: Quantized Kalman Filtering. In: 22nd IEEE International Symposium on Intelligent Control Part of IEEE Multi-conference on Systems and Control Singapore, pp. 7–12 (2007)

    Google Scholar 

  11. Zhou, Y., Li, J.X., Wang, D.L.: Posterior Cramer-Rao Lower Bounds for Target Tracking in Sensor Networks With Quantized Range-Only Measurements. IEEE Signal Processing Letters 17(2), 157–160 (2010)

    Article  Google Scholar 

  12. Balkan, O., Gezici, S.: CRLB Based Optimal Noise Enhanced Parameter Estimation Using Quantized Observations. IEEE Processing Letters 17(5), 477–480 (2010)

    Article  Google Scholar 

  13. Cui, S.G., Goldsmith, A.J., Bahai, A.: Energy-constrained modulation optimization. IEEE Trans. Wireless Communications 23(4), 735–744 (2004)

    Google Scholar 

  14. Xiao, J.J., Cui, S.G., Goldsmith, A.J., Luo, Z.Q.: Joint Estimation in Sensor Networks under Energy Constraints. In: IEEE SECON 2004, pp. 264–271 (2004)

    Google Scholar 

  15. Krasnopeev, A., Xiao, J.J., Luo, Z.Q.: Minimum energy decentralized estimation in a wireless sensor network with correlated sensor noises. EURASIP Journal on Wireless Communication and Networking 4, 473–482 (2005)

    Google Scholar 

  16. Ribeiro, A., Giannakis, G.B., Roumeliotis, S.I.: SOI-KF: distributed Kalman filtering with low-cost communications using the sign of innovations. IEEE Trans. on Signal Processing 54(1), 2617–2624 (2006)

    Article  Google Scholar 

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© 2012 Springer-Verlag Berlin Heidelberg

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Wang, C., Qi, G., Li, Y., Sheng, A. (2012). Quantized Steady-State Kalman Filter in a Wireless Sensor Network. In: Tan, Y., Shi, Y., Ji, Z. (eds) Advances in Swarm Intelligence. ICSI 2012. Lecture Notes in Computer Science, vol 7332. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31020-1_66

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  • DOI: https://doi.org/10.1007/978-3-642-31020-1_66

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31019-5

  • Online ISBN: 978-3-642-31020-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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