GMSK with limiter discriminator integrator detection in satellite mobile channel

The author derives a formula for the error probability of partial response frequency shift keying with limiter discriminator integrator detector with and without decision feedback for the satellite mobile channel which contains as special cases the Gaussian channel and the land mobile channel. The author applies the formulae to Gaussian minimum shift keying and computes the error probability as a function of energy to noise ratio and other system parameters (Doppler frequency maximum Doppler frequency, bandwidth of Gaussian filter and ratio of power in the direct and diffuse signal components).