On the bit error probabilities of GMSK in the Rayleigh fading channels

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Abstract
Coherent detection of Gaussian minimum shift keying (GMSK) in a land mobile radio environment is analyzed. The effects of cochannel and adjacent channel interference are considered. Use is made of the MSK-type receiver for a demodulation, and correct carrier recovery and timings are assumed. A closed-form expression for the BER (bit error rate) is derived. Numerical results are presented and compared with those for MSK. The simulation results indicate that the effect of cochannel interference is more significant than that of the adjacent channel. It is also observed that in the case of adjacent channel interference GMSK is slightly superior to MSK when the interference signal is strong. This confirms that GMSK possesses attractive power spectrum properties for digital mobile radio application.

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