Abstract
This chapter deals with the identification of systems whose outputs must be quantized, transmitted through a communication channel, and observed afterwards. Communication errors introduce additional uncertainty that influences identification accuracy. To accomplish an information-oriented and algorithm-independent characterization of communication channels, we compare the Fisher information [or, equivalently, Cramér–Rao (CR) lower bound] of identification errors with and without communication channels. The concept of the Fisher information ratio (FI-R) is introduced. The relationship between the Fisher information ratio and Shannon’s mutual information and channel capacity is explained.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
L.Y. Wang and G. Yin, Asymptotically efficient parameter estimation using quantized output observations, Automatica, 43 (2007), 1178–1191.
L.Y. Wang and G. Yin, Information characterization of communication channels for system identification, J. Sys. Science Complexity, 20 (2007), 251–261.
L.Y. Wang and G. Yin, Quantized identification under dependent noise and Fisher information ratio for communication channels, to appear in IEEE Trans. Automat. Control.
T.M. Cover and J.A. Thomas, Elements of Information Theory, John Wiley, New York, 1991.
A.N. Kolmogorov, On some asymptotic characteristics of completely bounded spaces, Dokl. Akad. Nauk SSSR, 108 (1956), 385–389.
A.M. Sayeed, A signal modeling framework for integrated design of sensor networks, in IEEE Workshop Statistical Signal Processing, 7, 2003.
J.F. Traub, G.W. Wasilkowski, and H. Wozniakowski, Information-Based Complexity, Academic Press, New York, 1988.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2010 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Wang, L.Y., Yin, G.G., Zhang, JF., Zhao, Y. (2010). Impact of Communication Channels on System Identification. In: System Identification with Quantized Observations. Systems & Control: Foundations & Applications. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4956-2_15
Download citation
DOI: https://doi.org/10.1007/978-0-8176-4956-2_15
Published:
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4955-5
Online ISBN: 978-0-8176-4956-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)