Analysis of a Delay-Constrained Hybrid ARQ Wireless System

A real-time wireless system using hybrid automatic repeat request to correct errors is analyzed. Packet errors are modeled by a two-state Markov chain, and batch packet arrivals are allowed. Packets are dropped at the sender if their delays exceed a time limit, possibly after a number of retransmissions. Using the delay-model approach, a closed-form expression of packet-loss probability (PLP) and an approximate formula of wireless effective bandwidth (WEB) satisfying the quality of service requirements have been derived. If Bose–Chaudhuri–Hocquengem codes are used, an expression estimating the number of correctable bits to minimize the PLP has also been obtained. Moreover, the WEB is found to be independent of the packet size, and the PLP decreases exponentially as the WEB increases.

[1]  Pao-Chi Chang,et al.  On verifying the first-order Markovian assumption for a Rayleigh fading channel model , 1996 .

[2]  Michele Zorzi,et al.  Performance analysis of delay-constrained communications over slow Rayleigh fading channels , 2002, IEEE Trans. Wirel. Commun..

[3]  Michele Zorzi.  Data-link packet dropping models for wireless local communications , 2002, IEEE Trans. Veh. Technol..

[4]  Shu Lin,et al.  Error control coding : fundamentals and applications , 1983 .

[5]  Samuel T. Chanson,et al.  Packet loss probability for real-time wireless communications , 2002, IEEE Trans. Veh. Technol..

[6]  John Harris,et al.  Handbook of mathematics and computational science , 1998 .

[7]  Marwan Krunz,et al.  Fluid analysis of delay and packet discard performance for QoS support in wireless networks , 2001, IEEE J. Sel. Areas Commun..

[8]  E. O. Elliott.  Estimates of error rates for codes on burst-noise channels , 1963 .

[9]  Michele Zorzi.  Some results on error control for burst-error channels under delay constraints , 2001, IEEE Trans. Veh. Technol..

[10]  E. Gilbert.  Capacity of a burst-noise channel , 1960 .

[11]  Michele Zorzi,et al.  Lateness probability of a retransmission scheme for error control on a two-state Markov channel , 1999, IEEE Trans. Commun..

[12]  Marwan Krunz,et al.  Bandwidth allocation in wireless networks with guaranteed packet-loss performance , 2000, TNET.

[13]  Samuel T. Chanson,et al.  Packet loss probability for bursty wireless real-time traffic through delay model , 2004, IEEE Trans. Veh. Technol..

[14]  L. B. Milstein,et al.  On the accuracy of a first-order Markov model for data transmission on fading channels , 1995, Proceedings of ICUPC '95 - 4th IEEE International Conference on Universal Personal Communications.