International Journal of Information Technology and Computer Science(IJITCS)

ISSN: 2074-9007 (Print), ISSN: 2074-9015 (Online)

Published By: MECS Press

IJITCS Vol.5, No.12, Nov. 2013

An Analytic Approach for Calculating Frame Erasue Rate in Cellular GSM Networks

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Ahmed M. Alaa, Hazem Tawfik

Index Terms

Component; Bit Error Rate (BER); Cochannel Interference (CCI); Convolutional Coding; Frame Erasure Rate (FER); GMSK; GSM


The Quality of Service (QoS) of a GSM system is quantified in terms of Bit Error Rate (BER) and Frame Erasure Rate (FER) observed by the user. The problem of obtaining analytical expressions for BER and FER in a fading channel with multiple cochannel interferers (CCI) is an extremely complex mathematical problem. The reason for this complexity is that the involvement of several GSM physical layer modules is required to obtain an expression for the probability of bit error. Besides, one needs to obtain the statistical properties of faded cochannel interferers in order to obtain the raw BER of GMSK modulation. Thus, error rate metrics are usually obtained by simulating the GSM physical layer rather than treating the problem analytically. A reliable interface between system and link level models can be obtained by evaluating the BER and FER in terms of the Signal-to-Interference Ratio (SIR) analytically, instead of the pre-defined statistical mapping data usually used in literature. In this work, bounds on the uplink BER and FER are obtained for the GSM physical layer assuming a CCI limited system where both the desired and interference signals are subjected to Rayleigh fading. The analysis considers GMSK modulation, convolutional coding and Frequency Hopping.

Cite This Paper

Ahmed M. Alaa, Hazem Tawfik,"An Analytic Approach for Calculating Frame Erasue Rate in Cellular GSM Networks", International Journal of Information Technology and Computer Science(IJITCS), vol.5, no.12, pp.1-10, 2013. DOI: 10.5815/ijitcs.2013.12.01


[1]Bruce F. McGuffin, “A Bound On Frequency Hopped GSM Performance In Co-Channel Interference”, ELECTRO '96. Professional Program. Proceedings, pp. 235-240, May 1996.

[2]K. Ivanov, C. Lüders, N. Metzner, U. Rehfue,”Frequency hopping spectral capacity enhancement of cellular networks”, vol. 3, IEEE 4th International Symposium on Spread Spectrum Techniques and Applications Proceedings, pp 1267-1272, 1996.

[3]Hikan Olofsson, Jonas Naslund, Johan Skold, “Interference diversity gain in frequency hopping GSM”, vol. 1, pp 102-106, IEEE 45th Vehicular Technology Conference, 1995.

[4]Jeroen Wigard and Preben Mogensen, “A simple mapping from C/I to FER and BER for a GSM type of air-interface”, vol. 1, Seventh IEEE International Symposium on Personal, Indoor and Mobile Radio Communications, PIMRC'96, pp 78-82, 1996. 

[5]Simon Haykin, Communication Systems, Fifth edition, Wiley, March 2009.

[6]Andrea Giorgetti and Marco Chiani, “Influence of fading on the Gaussian approximation for BPSK and QPSK with asynchronous cochannel interference”, vol. 4, pp 384-389, IEEE Transactions on Wireless Communications, March 2005.

[7]Hakan Olofsson, Magnus Almgren, Christer Johansson, Mikael Hook and Fredric Kronestedt, “Improved interface between link level and system level simulations applied to GSM”, vol. 1, 1997 IEEE 6th International Conference on Universal Personal Communications Record, pp 79-83, 1997. 

[8]GSM 05.03, ETSI Version 5.2.0, Digital cellular communication system, August 1996.

[9]Viterbi, “Error bounds for convolutional codes and an asymptotically optimum decoding algorithm”, vol. 13, pp 260-269, IEEE Transactions on Information Theory, April 1967.

[10]P. Wijesinghe, U. Gunawardana, R. Liyanapathirana, “Improved error bounds for rate-1/2, terminated convolutional codes with QPSK in Nakagami-m fading channels”, pp 1-4, International Conference on Signal Processing and Communications (SPCOM), 2010. 

[11]Christine N. Liu, “Channel Coding for Enhanced Full Rate GSM”, Master Thesis, Massachusetts Institute of Technology (MIT), September 1996.

[12]L.B. Lopes and A.F. Molisch, "Research into performance and enhancement of second generation systems: GSM and DECT", pp. 209-284 in "Digital Mobile Radio - the view of COST 231", E. Damosso and L. Correia (eds.), European Union Publications (1999).