Error probability of m‐ary fsk with a limiter‐discriminator detector in satellite mobile channels

Abstract

We derive formulae for the error probability of M-ary frequency shift keying with a limiter-discriminator detector in a satellite mobile channel, which includes as special cases the land mobile (Rayleigh) channel and the Gaussian channel. The received signal in this channel is composed of a specular signal, a diffuse signal and white Gaussian noise; hence the composite signal is fading with a Rician envelope. The error probability depends on the signal-to-noise ratio, the power ratio of the specular and diffuse components, the frequency deviation, the Doppler frequency, the maximum Doppler frequency, the time delay between diffuse and specular components, the autocorrelation of the diffuse component and the transfer function of the receive filter. Numerical results are presented as functions of the various parameters. Effects of the receive filter on the signal dependent components are neglected.KEY WORDS Frequency shift keying Limiter-discriminator detector Satellite mobile channel Rayleigh channel