Using Markov switching models to infer dry and rainy periods from telecommunication microwave link signals

A Markov switching algorithm is introduced to classify attenuation measurements from telecommunication microwave links into dry and rainy periods. It is based on a simple state-space model and has the advantage of not relying on empirically estimated threshold parameters. The algorithm is applied to data collected using a new and original experimental set-up in the vicinity of Zurich, Switzerland. The false dry and false rain detection rates of the algorithm are evaluated and compared to 3 other algorithms from the literature. The results show that, on average, the Markov switching model outperforms the other algorithms. It is also shown that the classification performance can be further improved if redundant information from multiple channels is used.

[1]  Rafael F. Rincon,et al.  Microwave link dual-wavelength measurements of path-average attenuation for the estimation of drop size distributions and rainfall , 2002, IEEE Trans. Geosci. Remote. Sens..

[2]  Hagit Messer,et al.  Technical Note: Novel method for water vapour monitoring using wireless communication networks measurements , 2009 .

[3]  Chang‐Jin Kim,et al.  Dynamic linear models with Markov-switching , 1994 .

[4]  Remko Uijlenhoet,et al.  Hydrometeorological application of a microwave link: 1. Evaporation , 2007 .

[5]  Hagit Messer,et al.  Environmental Monitoring by Wireless Communication Networks , 2006, Science.

[6]  Brendan J. Frey,et al.  Factor graphs and the sum-product algorithm , 2001, IEEE Trans. Inf. Theory.

[7]  Hans-Reinhard Verworn,et al.  Improvement of X-band radar rainfall estimates using a microwave link , 2005 .

[8]  A. R. Rahimi,et al.  Comparison of the use of dual-frequency and single-frequency attenuation for the measurement of path-averaged rainfall along a microwave link , 2003 .

[9]  Dong Yue,et al.  Delay-dependent exponential stability of stochastic systems with time-varying delay, nonlinearity, and Markovian switching , 2005, IEEE Transactions on Automatic Control.

[10]  U. Germann,et al.  Radar precipitation measurement in a mountainous region , 2006 .

[11]  S. Ventouras,et al.  An investigation of site diversity and comparison with ITU‐R recommendations , 2008 .

[12]  Remko Uijlenhoet,et al.  Hydrometeorological application of a microwave link: 2. Precipitation , 2007 .

[13]  James D. Hamilton Analysis of time series subject to changes in regime , 1990 .

[14]  Boris Sevruk,et al.  Adjustment of tipping-bucket precipitation gauge measurements , 1996 .

[15]  U. Hadar,et al.  Comparison of two methodologies for long term rainfall monitoring using a commercial microwave communication system , 2012 .

[16]  Graham J. G. Upton,et al.  Microwave links: The future for urban rainfall measurement? , 2005 .

[17]  Hagit Messer,et al.  Prediction of rainfall intensity measurement errors using commercial microwave communication links , 2010 .

[18]  H. Messer,et al.  Frontal Rainfall Observation by a Commercial Microwave Communication Network , 2009 .

[19]  Li Ping,et al.  The Factor Graph Approach to Model-Based Signal Processing , 2007, Proceedings of the IEEE.

[20]  Alexis Berne,et al.  Experimental Quantification of the Sampling Uncertainty Associated with Measurements from PARSIVEL Disdrometers , 2011 .

[21]  Christopher S. Ruf,et al.  35-GHz Dual-Polarization Propagation Link for Rain-Rate Estimation , 1996 .

[22]  M. Löffler-Mang,et al.  An Optical Disdrometer for Measuring Size and Velocity of Hydrometeors , 2000 .

[23]  Alexis Berne,et al.  A network of disdrometers to quantify the small‐scale variability of the raindrop size distribution , 2011 .

[24]  Hans-Andrea Loeliger,et al.  A model for quasi-periodic signals with application to rain estimation from microwave link gain , 2011, 2011 19th European Signal Processing Conference.

[25]  Hagit Messer,et al.  Estimation of rainfall fields using commercial microwave communication networks of variable density , 2008 .

[26]  Philipp Metzner,et al.  Generator estimation of Markov jump processes based on incomplete observations nonequidistant in time. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[27]  K. Paulson THE SPATIAL-TEMPORAL STATISTICS OF RAIN RATE RANDOM FIELDS , 2001 .

[28]  M. Kaufmann,et al.  Identification of dry and rainy periods using telecommunication microwave links , 2011 .

[29]  Graham J. G. Upton,et al.  Use of dual-frequency microwave links for measuring path-averaged rainfall , 2003 .

[30]  James D. Hamilton A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle , 1989 .

[31]  K. Paulson Spatial‐temporal statistics of rainrate random fields , 2002 .

[32]  M.M.Z. Kharadly,et al.  Effect of wet antenna attenuation on propagation data statistics , 2001 .

[33]  Alexis Berne,et al.  Identification of Dry and Rainy Periods Using Telecommunication Microwave Links , 2009, IEEE Geoscience and Remote Sensing Letters.

[34]  X. Jin Factor graphs and the Sum-Product Algorithm , 2002 .

[35]  Peter E. Mellquist SNMP++: An Object-Oriented Approach to Developing Network Management Applications , 1997 .

[36]  SEQUENCES OF WET OR DRY DAYS DESCRIBED BY A MARKOV CHAIN PROBABILITY MODEL , 1964 .

[37]  Remko Uijlenhoet,et al.  Microwave link rainfall estimation: Effects of link length and frequency, temporal sampling, power resolution, and wet antenna attenuation , 2008 .

[38]  Hidde Leijnse,et al.  Rainfall measurement using radio links from cellular communication networks , 2007 .