Error Probability of Partial-Response Continous-Phase Modulation withCoherent MSK-Type Receiver, Diversity, and Slow Rayleigh Fading in Gaussian Noise

The transmission of information over radio channels with multiple changing-propagation paths is subject to fading, i.e., random time variations of the receiver signal strength. For digital transmission over a fading channel, the time variations cause a varying error probability for all types of digital-modulation methods. The application of bandwidth-efficient constant-amplitude modulation schemes to digital land-mobile radio has been considered in several papers.1"5 Other investigations have shown that transmission * This work was done while Mr. Sundberg was a consultant at Bell Laboratories. 1933 over such channels is subject to fading.6,7 In this paper we will consider slow Rayleigh fading where the density function for the signal-to-noise ratio (s/n) is /M-ie-r/r, (1)