Probability of undetected error of hybrid ARQ over the Gilbert-Elliott channel

Author

Albanese, M. ; Capone, A. ; Spalvieri, A.

Author_Institution

Dipt. di Elettronica e Informazione, Politecnico di Milano, Italy

Volume

1

fYear

2004

fDate

5-8 Sept. 2004

Firstpage

306

Abstract

The authors present a method for computing the probability of undetected error for hybrid ARQ over the Gilbert-Elliott channel (Gilbert, E.N., Bell Syst. Tech. J., vol.39, p.1253-65, 1960; Elliott, E.O., Bell Syst. Tech. J., vol.42, p.1977-97, 1963). The method described by Elliott is extended to the case where the code is used for error detection and error correction simultaneously (hybrid ARQ, type-I). This analytical approach to the evaluation of the probability of undetected error allows the throughput to be calculated as a function of the code rate and length, and systems to be designed that maximize the throughput, given the channel parameters and the desired undetected error probability.

Keywords

automatic repeat request; error correction codes; error detection codes; error statistics; fading channels; multipath channels; optimisation; packet radio networks; radio access networks; time-varying channels; Gilbert-Elliott channel; channel parameters; error correction code; error detection code; hybrid ARQ; multipath channel; multipath fading channel; packet wireless networks; time varying channel; undetected error probability; wireless access networks; Automatic repeat request; Communication switching; Context modeling; Error analysis; Error correction; Error correction codes; Error probability; Forward error correction; Performance analysis; Throughput;

fLanguage

English

Publisher

ieee

Conference_Titel

Personal, Indoor and Mobile Radio Communications, 2004. PIMRC 2004. 15th IEEE International Symposium on

Print_ISBN

0-7803-8523-3

Type

conf

DOI

10.1109/PIMRC.2004.1370884

Filename

1370884