TY - GEN
T1 - Time series rainfall spike modelling from Markov chains and queueing theory approach for rainfall attenuation over terrestrial and earth-space radio wave propagation in Jimma, Ethiopia
AU - Diba, Feyisa D.
AU - Afullo, Thomas J.
AU - Alonge, Akintunde A.
N1 - Publisher Copyright:
© 2016 IEEE.
PY - 2016/11/3
Y1 - 2016/11/3
N2 - Rainfall attenuation over radio wave propagation originates from the stochastic turbulence of rainfall intensity on wireless networks, especially at higher operating frequencies. Basically, three parameters characterize a stochastic process of rainfall: rainfall spike, rainfall rate regimes and the sojourn time of a rainfall spike in each rain rate regime. In this paper, the characteristics of rainfall spikes are investigated as a randomly varying in four rainfall rate states in Jimma, Ethiopia using Markov chain model and queueing theory approach. From the first model the spikes transition probability matrix among regimes is determined and found to be ergodic and, applying the second approach the sojourns time distribution of spike is modelled and the result shows Erlang-K probability distribution not the common exponential distribution for all regimes with very minimum fitting errors.
AB - Rainfall attenuation over radio wave propagation originates from the stochastic turbulence of rainfall intensity on wireless networks, especially at higher operating frequencies. Basically, three parameters characterize a stochastic process of rainfall: rainfall spike, rainfall rate regimes and the sojourn time of a rainfall spike in each rain rate regime. In this paper, the characteristics of rainfall spikes are investigated as a randomly varying in four rainfall rate states in Jimma, Ethiopia using Markov chain model and queueing theory approach. From the first model the spikes transition probability matrix among regimes is determined and found to be ergodic and, applying the second approach the sojourns time distribution of spike is modelled and the result shows Erlang-K probability distribution not the common exponential distribution for all regimes with very minimum fitting errors.
UR - http://www.scopus.com/inward/record.url?scp=85006701101&partnerID=8YFLogxK
U2 - 10.1109/PIERS.2016.7735815
DO - 10.1109/PIERS.2016.7735815
M3 - Conference contribution
AN - SCOPUS:85006701101
T3 - 2016 Progress In Electromagnetics Research Symposium, PIERS 2016 - Proceedings
SP - 4991
EP - 4995
BT - 2016 Progress In Electromagnetics Research Symposium, PIERS 2016 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2016 Progress In Electromagnetics Research Symposium, PIERS 2016
Y2 - 8 August 2016 through 11 August 2016
ER -