On the Throughput and Optimal Packet Length of an Uncoded ARQ System over Slow Rayleigh Fading Channels

This letter presents a simplified expression for the average packet error rate (PER) for an uncoded packet transmission system with large packet length over slow Rayleigh fading channels, by assuming that the bit error rate (BER) has an exponential form. Then the throughput performance of an uncoded packet transmission system with automatic repeat request (ARQ) is investigated, and the optimal packet length is derived to maximize the throughput. The theoretical analysis is validated by simulations.

[1]  Alister G. Burr,et al.  A General Upper Bound to Evaluate Packet Error Rate over Quasi-Static Fading Channels , 2011, IEEE Transactions on Wireless Communications.

[2]  Pooi Yuen Kam,et al.  On the Performance of Packet ARQ Schemes in Rayleigh Fading: The Role of Receiver Channel State Information and Its Accuracy , 2011, IEEE Transactions on Vehicular Technology.

[3]  Giuseppe Caire,et al.  The throughput of hybrid-ARQ protocols for the Gaussian collision channel , 2001, IEEE Trans. Inf. Theory.

[4]  M. Abramowitz,et al.  Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55) , 1965 .

[5]  Xuzheng Lin,et al.  New Exponential Lower Bounds on the Gaussian Q-Function via Jensen's Inequality , 2011, 2011 IEEE 73rd Vehicular Technology Conference (VTC Spring).

[6]  Harry Leib,et al.  Type-II hybrid ARQ with convolutional codes over block fading Rayleigh channels , 1997, Proceedings of 8th International Symposium on Personal, Indoor and Mobile Radio Communications - PIMRC '97.

[7]  Marco Chiani Error probability for block codes over channels with block interference , 1996, Proceedings of GLOBECOM'96. 1996 IEEE Global Telecommunications Conference.