On Long-Term Statistical Dependences in Channel Gains for Fixed Wireless Links in Factories

The reliability and throughput in an industrial wireless sensor network can be improved by incorporating the predictions of channel gains when forming routing tables. Necessary conditions for such predictions to be useful are that statistical dependences exist between the channel gains and that those dependences extend over a long enough time to accomplish a rerouting. In this paper, we have studied such long-term dependences in channel gains for fixed wireless links in three factories. Long-term fading properties were modeled using a switched regime model, and Bayesian change point detection was used to split the channel gain measurements into segments. In this way, we translated the study of long-term dependences in channel gains into the study of dependences between fading distribution parameters describing the segments. We measured the strengths of the dependences using mutual information and found that the dependences exist in a majority of the examined links. The strongest dependence appeared between mean received power in adjacent segments, but we also found significant dependences between segment lengths. In addition to the study of statistical dependences, we present the summaries of the distribution of the fading parameters extracted from the segments, as well as the lengths of these segments.

[1]  Mikael Gidlund,et al.  Future research challenges in wireless sensor and actuator networks targeting industrial automation , 2011, 2011 9th IEEE International Conference on Industrial Informatics.

[2]  Nuno Pereira,et al.  IEEE 802.15.4 and ZigBee as Enabling Technologies for Low-Power Wireless Systems with Quality-of-Service Constraints , 2013, Springer Briefs in Electrical and Computer Engineering.

[3]  Manuel Mazo,et al.  System Architectures, Protocols and Algorithms for Aperiodic Wireless Control Systems , 2014, IEEE Transactions on Industrial Informatics.

[4]  Claude Oestges,et al.  Experimental Characterization and Modeling of Outdoor-to-Indoor and Indoor-to-Indoor Distributed Channels , 2010, IEEE Transactions on Vehicular Technology.

[5]  Claude Oestges,et al.  Physically motivated fast-fading model for indoor peer-to-peer channels , 2009 .

[6]  Hans D. Hallen,et al.  Long-range prediction of fading signals , 2000, IEEE Signal Process. Mag..

[7]  Larry J. Greenstein,et al.  Ricean $K$-Factors in Narrow-Band Fixed Wireless Channels: Theory, Experiments, and Statistical Models , 2009, IEEE Transactions on Vehicular Technology.

[8]  Dusit Niyato,et al.  IEEE 802.16/WiMAX-based broadband wireless access and its application for telemedicine/e-health services , 2007, IEEE Wireless Communications.

[9]  Daniel Fink A Compendium of Conjugate Priors , 1997 .

[10]  Renato Vicente,et al.  An information-theoretic approach to statistical dependence: Copula information , 2009, ArXiv.

[11]  Torbjörn Ekman Prediction of Mobile Radio Channels : Modeling and Design , 2002 .

[12]  Daniel E. Quevedo,et al.  State Estimation Over Sensor Networks With Correlated Wireless Fading Channels , 2013, IEEE Transactions on Automatic Control.

[13]  Luciano Ahumada,et al.  Measurement and characterization of the temporal behavior of fixed wireless links , 2005, IEEE Transactions on Vehicular Technology.

[14]  Chris Wiggins,et al.  ARACNE: An Algorithm for the Reconstruction of Gene Regulatory Networks in a Mammalian Cellular Context , 2004, BMC Bioinformatics.

[15]  Theodore S. Rappaport,et al.  UHF fading in factories , 1989, IEEE J. Sel. Areas Commun..

[16]  R. Bultitude Measurement, characterization and modeling of indoor 800/900 MHz radio channels for digital communications , 1987, IEEE Communications Magazine.

[17]  Luc Martens,et al.  The industrial indoor channel: large-scale and temporal fading at 900, 2400, and 5200 MHz , 2008, IEEE Transactions on Wireless Communications.

[18]  Radford M. Neal Pattern Recognition and Machine Learning , 2007, Technometrics.

[19]  Paul Fearnhead,et al.  Exact Bayesian curve fitting and signal segmentation , 2005, IEEE Transactions on Signal Processing.

[20]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[21]  Claude Oestges,et al.  Measurement-Based Modeling of Time-Variant Fading Statistics in Indoor Peer-to-Peer Scenarios , 2015, IEEE Transactions on Antennas and Propagation.

[22]  仲上 稔,et al.  The m-Distribution As the General Formula of Intensity Distribution of Rapid Fading , 1957 .

[23]  M. Yacoub,et al.  On higher order statistics of the Nakagami-m distribution , 1999 .

[24]  Kung Yao,et al.  Characterizing fading channel under abrupt temporal variations , 2013, 2013 IEEE International Conference on Acoustics, Speech and Signal Processing.

[25]  P. Sadeghi,et al.  Finite-state Markov modeling of fading channels - a survey of principles and applications , 2008, IEEE Signal Processing Magazine.

[26]  Arogyaswami Paulraj,et al.  Analysis and modeling of multiple-input multiple-output (MIMO) radio channel based on outdoor measurements conducted at 2.5 GHz for fixed BWA applications , 2002, 2002 IEEE International Conference on Communications. Conference Proceedings. ICC 2002 (Cat. No.02CH37333).

[27]  H. Hashemi,et al.  The indoor radio propagation channel , 1993, Proc. IEEE.

[28]  Mikael Gidlund,et al.  Long Term Channel Characterization for Energy Efficient Transmission in Industrial Environments , 2014, IEEE Transactions on Communications.

[29]  Ryan P. Adams,et al.  Bayesian Online Changepoint Detection , 2007, 0710.3742.

[30]  Ian J. Wassell,et al.  Wind-Induced Slow Fading in Foliated Fixed Wireless Links , 2012, 2012 IEEE 75th Vehicular Technology Conference (VTC Spring).