Mathematical model of communication delays in wireless networks

Beata Krupanek, Ryszard Bogacz


The paper presents a new conception of building probabilistic models of communication delays in wireless networks that basis on using a delta function sequence to describe retransmissions between a transmitter and a receiver. It is assumed that the access time of the transmitter is described by a probability density function and the communication channel established in the wireless medium is disturbed by passive or active factors which cause that the transmission can be not correct and the sent data have to be retransmitted. Theoretical considerations have been verified by measurement results obtained by using the experimental system developed for investigating delays caused by external disturbances influencing the wireless transmission. A method of identification of the proposed model parameters and verification of the identified values has been presented.

Full Text:



Yuan L., Zhu Y. (2006) Modeling and Simulating Wireless Sensor Transportation Monitoring Network. The Sixth World Congress on Intelligent Control and Automation, Vol. 2, pp. 8640-8644.

Chaudhary D. D., Waghmare L. M. (2012) Quality of service analysis in wireless sensor network by controlling end-to-end delay. 7th IEEE Conference on Industrial Electronics and Applications, pp. 703-708.

Xiong X., Tan J., Lin X. (2013) Study on Communication Architecture Design of Wide-Area Measurement System. IEEE Transactions on Power Delivery, Vol. 28, Issue 3, pp. 1542-1547.

Topór-Kamiński T., Krupanek B., Homa J. (2013) Delays Models of Measurement and Control Data Transmission Network. Advanced Technologies for Intelligent Systems of National Border Security, Studies in Computational Intelligence, 440, pp. 257-279.

Krupanek B. (2009) Simulations of experimental set up based on ZigBee standard using Opnet. International PhD Workshop OWD 2009, Wisła, pp. 262-267.

Gupta S.C. (1964) Delta Function. IEEE Transactions on Education, vol. 7, iss. 1., pp. 16-22.

Gamal A., Mammen J., Prabhakar B., Shah D. (2006) Optimal Throughput–Delay Scaling in Wireless Networks—Part I: The Fluid Model. IEEE Transactions on Information Theory, vol. 52, no. 6, pp. 2568-2592.

Krupanek B., Bogacz R. (2014) Investigations of transmission delays in ZigBee networks. Przegląd Elektrotechniczny, iss.1., pp. 70-75.


  • There are currently no refbacks.

International Journal of Electronics and Telecommunications
is a periodical of Electronics and Telecommunications Committee
of Polish Academy of Sciences

eISSN: 2300-1933